## MATHEMATICAL PROOFS OF THE PRESENCE OF THE ERMETIC ANCIENT EGYPTIAN CULTURE IN THE MEDIEVAL AND MODERN WEST, STARTING FROM THE UNITY OF MEASURE USED FOR THE ESTIMATE OF THE MEASUREMENTS OF THE GREAT PYRAMID.

To the voice of Isabelle Geoffroy, dubbed Zaz, to have consoled me

every day of the silence of a love that won’t sing anymore

Enfant, certains ciels ont affiné mon optique: tous les caractères nuancèrent ma physionomie. Les Phénomènes s’émurent. -À présent l’inflexion éternelle des moments et l’infini des mathématiques me chassent par ce monde où je subis tous les succès civils, respecté de l’enfance étrange et des affections énormes. -Je songe à une guerre, de droit ou de force, de logique bien imprévue.

C’est aussi simple qu’une phrase musicale.

A. Rimbaud

first part:

A BRIEF SUMMARY OF THE WORK DONE IN THE PREVIOUS ARTICLES CARRIED OUT THROUGH IMAGES

1.

The purpose of this first part of this work is to provide the reader with a concise as possible summary of the work carried out in the previous articles of this site, about the scientific and mathematics system with which the Ancient Egyptian sacred art and architecture were designed. This inquiry – which has finally become purely mathematical and therefore entirely abstract – had started instead from an intuitive – geometric study, which led us to project on the Ancient Egyptian relieves or on the profile or on the layout of their sacred monuments the diagram – based on ɸ and π – with which the Italian physicist Zappalà has reconstructed the space time. In the previous works we have done a lot of examples, which initially concerned the Ancient Egyptian reliefs and the floor plan of holy places as Giza, Dashour and Saqqara

Also the design of the IV Dynasty Pyramids seemed immediately to correspond to the geometric rhythm and to the proportions of the Zappalà’s space time diagram

But , going forward in the work , we realized that perhaps no example could be equally clear and convincing as the profile section of the Great Pyramid that, through the images that we see below, seems to be able to transform its definition. From a funeral monument to a geometry tool capable to reconstruct the space time

But, as we have seen in the previous parts of this work, the Pyramid gives us the possibility to describe, although in a complex way, also the geometric internal relations of the atom structure, as those of solar systems with stressed orbits, as that that we see in the figures here below. This seems to mean that the Zappalà’s diagram – and so the Big Pyramid too – have a meaning enormously wider than that we are tempted to ascribe to it. In fact, if a space time diagram based on π and ɸ is capable to reconstruct the geometry of the atom orbitals, that means that both the space time and the orbitals are characterized by a deep geometric isomorphism. And this shared form in its turn is founded on π and ɸ. Those same fundamental number on the basis of which the Big Pyramid was projected

The projection of the Big Pyramid profile on the scheme of our Solar System takes place in a slightly less intuitive way. But, if we look closely the following images, the conclusion appear inexorable. The Big Pyramid can only be the architectonic image of the deep proportions that are the basis of whatever extended, measurable entity. So, of whatever possible issue of the queen of our empirical sciences: physics.

As the Big Pyramid results geometrically isomorphic with the hydrogen atom, the logic consequence of what we have just seen is that such an isomorphism must concern also the hydrogen atom and the Solar System. It is just what it seems we can deduce from the images that we see below

In The Snefru Code part 7 we came to the point to hypothesize that the profile of the Big Pyramid could be interpreted even as a sort of absolute geometric instrument. Actually, if we watch closely the images that we see below, it seems that moving the Pyramid section on itself, following a mathematical law that at the moment is unknown, it could be able to describe the orbits of the electron around the nucleus. That could be the reason why in the Coptic tradition it is said that into the Big Pyramid would have been hidden “the instrument of geometry”. This could be sort of an hermetic allusion, that maybe we should interpret in this way: the Pyramid design is actually the architectonic projection of an ancient and to us very strange instrument of geometry. A very strange instrument of geometry that, if it is capable to describe the atom orbitals, it must be capable to describe also the macroscopic world, because, as we have just seen, also the macroscopic world seems to have be created through the same proportion of the atom

Anyway, what we have just seen has inevitabe consequences regarding the internal geometric relations between the parts of the Great Pyramid and those of the hydrogen atom. Actually, we have seen that changing the scale with which we project the Pyramid profile on the atom diagram, what seemed to remain identical was its capacity to locate a significant system of orbitals coordinates. This is a characteristic that seems obviously to derive from the golden number, which stands at the basis of all the fractals. As we all know, the fractals are figures that grow towards the infinitely big and decrease towards the infinitely small following a geometric rhythm that, because it is established by the golden number, conserves between them a constant proportion. The most famous fractalm is maybe the snowflake, that we see below, together with other less famous but not less interesting ones. But we have to say that, if it is true that the hydrogen atom is a fractal, than we have to jump to the conclusion that all the universe is nothing but a gigantic fractal. In this sense, the image of a spiral galaxy seems to be very convincing

But if both the Pyramid and the hydrogen atom base their internal geometric structure on the golden number, this means that they are ultimately fractals. So, they must produce similar phenomena. Actually, this seems what we can see here below

In the case of the Djoser Running relief, it seems that we can even reconstruct the profile of the Pharao’s figure using the profile of the hawck. So, it must be true the inverse: that we can reconstruct the hawck profile using the one the Pharao figure (to have a better idea of this phenomenon, see the video on You Tube)

But if the Pyramid and the atom are both fractals, we have that all the pieces of the sacred Ancient Egyptian, included the reliefs, are fractals. It is because of this fact that this geometric system give rise to really wonderful aesthetical effects. Here below we can see that the Cheops and also the other IV Dynasty Pyramids, if overlapped to sacred figurative works, really seem, in a way, something like geometrical instruments. Geometrical instruments from which we can get the proportions of whatever Ancient Egyptian sacred artifact, regardless of the date of its creation. But, in another way, it seems that they could be included into the design of the reliefs as a part of them without big aesthetical conflicts. And this is something that seems to be true also for the layout designs of sacred complexes as Giza, Dashour, or Saqqara

It seems to be part of the extraordinary nature of the Great Pyramid design the fact that, like those of two other Pyramids of the so-called Fourth Dynasty, it can be obtained by connecting the stars of the Duat as the dots of a puzzle, not much different from those we can find in many puzzle magazines

And here we can observe something that up to now we had not noticed. That is that systems of significant overlapping arise also in the case that we project on reliefs and architectonic sacred structures also systems of circles. This means that this mathematical code – which is based on 4 numbers (π, ɸ, e, 10) – behaves as if each one of them were all the other 4 ones. In the future articles, we will be able to demonstrate this affirmation in a mathematical way, with more detail than in The Snefru Code part 3 and part 7. For this moment, we can observe the following images

second part:

SOME OBSERVATIONS ON THE MEASUREMENTS OF THE GREAT PYRAMID

1.

Maybe, the best way to enter the subject of this article, it is to briefly summarize the achievements of a work carried on some time ago, on the measurements of the Great Pyramid in relation to the ancient calendars. We hope to be able to publish it as soon as possible in its complete form, to demonstrate, or at least to possibly show in the most clear and distinct way, that in the Great Pyramid was built, together with the meter and the cubit, by means of a third unit of measurement that until now has been completely unknown. Not having a name available, we could call it “Great Pyramid meter”.

This measurement unit has seemed to us the result of the relation between the constant of Newton and the constant of Planck, even if the values of G and h that should have been used to determinate it don’t correspond to the ones ascertained by our science through the empirical method.

On the contrary, they have looked as entities that we could maybe define as “idealized”, because they have been established according to a so frequent method in the ancient times, but at the same time so unknown to modernity: the numerological method.

2.

In a fairly recent past, many of them who have dealt with this problem, have thought that the East-West side of the Chamber of the King, equal to circa 10,479 meters, was the equivalent of exactly 20 cubits. So we had reached the conclusion that a Great Pyramid cubit, would be equal to

10,479 : 20 = 0,52395 meters

If we imagine that a cubit is composed by 52 parts, therefore comparable to our centimeters, we obtain that these centimeters, that we can call “Great Pyramid centimeters”. But it is clear that this ratio is the same for the millimeters and the meters, etc.

52,395 : 52 = 1,007596153

This value, that we empirically obtain from the Chamber of the King, can be obtained also from the “Number of the Beast” (biblical and so very probably Ancient Egyptian). This number is, as it is well known, the 666, that seems to clearly allude to the periodic 6. If we imagine to write it as 6,666 and then we add 0,004 we obtain

6,666 + 0,004 = 6,67 ≈ G = 6,672

If we imagine to write it as 6,66 and then we subtract 0,004 ∙10 = 0,04 we obtain

6,66 – 0,4 = 6,62 ≈ h = 6,626

As we can see, these two ones are good approximations, or as we could also say, two idealizations of G = 6,67 – the constant of Newton and of h = 6,626 – the constant of Planck – built through a numerological way . An operation that results even more astonishing when we realize that 0,04 can be thought as a function of ɸ (this means that we can consider 0,004 as a function of ɸ and of 10). And, as it’s well known, ɸ is really one of the three constant values that have been codified in the measures of the Great Pyramid ( the other two, that we have seen in The Snefru Code part 3 and part 7, are the Euler number and π)

4√(1 : 0,04) = √5 = ɸ + 1/ɸ.

Having obtained in this way, two approximations or “idealizations” of G and h, their relations gives us this result

6,67 : 6,62 = 1,007552870090634.. ≈ (10,479 : 20) : 52 = 1,007596153 (-0,000041)

This value differs from the one that we have defined the “Great Pyramid millimeter” of only 41 millionths of a millimeter. The values of the cubit that we can obtain are in turn very similar to the number that comes out from the relation between π and the constant that we need to measure the speed of light c = 2,9979246, multiplied by 2. In fact

π/2c = 0,52396.. ≈ 10,479 : 20 = 0,52395 ≈ (6,67 : 6,62) ∙ 52/100 = 0,523927…

3.

So our hypothesis is that a Great Pyramid cubit corresponds to 52 of these fundamental units of measurement, corresponding in turn to 1,00755287.. ∙ 1 of our millimeters. Therefore, a cubit constituted in this way, would be equal to 1,00755287.. ∙ 520/1000 = 0,52392749.. of our meters. It also results very similar to that measure of the cubit that we can obtain from the approximation of ɸ that we find codified in the measures of the Great Pyramid (ɸCheops = 1,618590346..)

2ɸCheops2 : 10 = (2 ∙ 2,619834..) : 10 = 0,523966.. ≈ 0,523927.. (+0,000039..)

However, if we attain to the measurement that we have obtained from 6,67/6,62, we can reconstruct the East-West side of the Chamber of the King, in this way

[(1,0075528700906344410876132930514 ∙ 52) : 100] ∙ 20 = 10,478549..

The difference with the revealed measurement results therefore inferior to half millimeter. But we must consider that the measure that usually is considered correct (10,479) is in fact an average value. Actually, the east-west side oscillates within a maximum of 10,4797 and a minimum of 10,4782. Therefore this measure of the cubit that we have obtained from G/h – obtained in turn in “idealized” form from the Number of the Beast and from a function of ɸ – it seems able to describe in a way that seems satisfactory, the measurements of the Chamber of the King.

If this is true, then 440 of these cubits would be the measure of the side of Great Pyramid, that in this way would be equal to circa

0,52392749.. ∙ 440 = 230,52809.. meters (practically, 230 meters more than a cubit)

Actually the measures empirically detected seem to give us an average of 230,36-7 meters for each side. If we would discover that these empirical reliefs have been made with a little bit of imprecision, then we would discover that the measure of the cubit that we have obtained in a deductive way, starting from the Number of the Beast and from a function of ɸ – would perfectly correspond to reality.

At that point, we would be able to affirm with good reason, that one of the origins or of the “reasons” of that meter as we know it today, it is an ancient unity of measurement of the length that is circa 1,0075 multiplied by one of our millimeters and that therefore, divided by G/h, allows us to go back to our decimal system and so also to the Earth’s dimensions.

The Earth’s dimensions, in turn, refer to a different modality of that ratio G/h that we have hypothesized at the base of the “Great Pyramid meter”.

In fact, we have determined the measure of the Great Pyramid meter, according to two values of G and of h established in a numerological way . If instead we take their value empirically determined, we obtain that

6,67/6,626 = 1,0066405..

This value corresponds in a nearly exact way, to the ratio between the squared Earth’s equatorial and polar ray

(6378 : 6357)2 = 1,00330344..2 = 1,006617.. ≈ G/h = 6,67/6,626 = 1,0066405.. (-0,000023)

This same ratio, raised to the 16th power, gives also an excellent approximation to the constant of Dirac, given that

(6378 : 6357)16 = 1,00330344..16 = 1,054185.. ≈ ħ = 1,054571.. ≈ G/h8 =

= (6,67/6,626)8 = 1,0066405..8 = 1,054375.. ≈ ħ = 1,054571..

4.

The choice of this unity of measure would therefore demonstrate on its own, that the Ancient Egyptians had a very deep scientific knowledge of the Universe. A knowledge that was probably expressed, according to the situations, with many unities of measurement, capable of being interpolated between each other, so that a same geometric object, as for example the Great Pyramid, could be interpreted in a different numerological-scientific way.

For example, the height expressed in meters is equal to circa 146,5. If we divide it by 10 cubed and then we calculate the square root, we get an excellent approximation of ɸCheops. If we divide it one more time by 10 cubed and the we calculate the cube root, we obtain a very good approximation to the constant of Dirac.

4√(146,5 : 103) = 4√0,1465 = 0,618670.. ≈ ɸCheops – 1 = 0,618590346..

3√146,5 : 103 = 3√0,1465 = 0,52716.. ≈ ħ/2 = 0,52728..

Instead, the 32nd root of the perimeter expressed in meters ( an “idealized” perimeter, in which we do the calculations without decimals) gives us a value very similar to 2 ∙ (ɸCheops – 1), whilst that 128th gives us a value similar to ħ

32√920 = 1,2377084.. ≈ 2(ɸCheops – 1) = 2 ∙ (1,61859034.. – 1) = 2 ∙ 0,61859034.. = 1,23718068..

128√920 = 1,054762.. ≈ ħ = 1,054571..

Here we have taken into consideration the integer of the measure of the side, and we have excluded in a numerological way the decimals (as we have said, every side of the Great Pyramid, has an average measure of circa 230,36 meters). Something that in the ancient times, inter alia, was used also to insert in the myth numbers of scientific interest. In this way, the number resulted slightly inexact, but symbolically powerful and meaningful. For example, the prophet Enoch is taken up into heaven at the age 365 years, also the solar cycle this number is certainly a symbol of, it lasts 365,25 days.

This means that instead of taking into consideration an idealized, or mythical measure, we could also take into consideration the exact measure of the side of the Great Pyramid. Therefore, including into the calculation also the decimals. At this point, we could calculate the ratio within the half of the perimeter expressed in meters and the measure of a side expressed in cubits. Then we would have a clear reference to π, given that

460,72 : 440 = 1,0470909.. ≈ π/3 = 1,0471975.. ≈ (π – ɸ2) ∙ 3 = 1,0471173..

Here we can quickly observe that this same reference to π seems to be included also in the duration of the solar year, given that its 256th root leads us to this ratio

(128√365,25) ∙ 3 = 1,047177.. ∙ 3 = 3,141532.. ≈ π = 3,141592.. (-0,00006)

At this point, it is easy to notice that a value very similar to the duration of the solar year, at a numerological level, corresponds rather well to the constant of Balmer, equal to 364,6 nm. We can obtain a fairly precise approximation of π following the same procedure

(128√364,6) ∙ 3 = 1,047162.. ∙ 3 = 3,141488.. ≈ π = 3,141592.. (-0,000104)

This reference to π would be even more important if the effective measure of the side was the one that we have obtained above through an hypothetical-deductive way, starting from the Number of the Beast. In this case, the reference to π would take place through the constant that we need to measure the speed of light c = 2,9979246. Taking into account that the half of the perimeter of the Great Pyramid corresponds with a good approximation to the speed of rotation of the Earth on itself expressed in meters per second (465 m/s), then we would obtain that the fundamental measures of this masterpiece of architecture and science, would express also the ratio between these two fundamental physical values. Something that would not surprise us at all, after all that we have seen in The Snefru Code part 3 and part 7.

In fact

461,056.. : 440 = 1,047854.. ≈ π/c = 1,047922..

The approximation of π that we could obtain in this way, would be really good, given that

1,047854.. ∙ 2,9979246 = 3,1413.. ≈ π = 3,1415..

At this point, the reader would have realized that these ciphers contain also a clear allusion to one of the fundamental measures of the Chamber of the King, in particular to the East-west side that we have taken into account above, that measures 10,479 meters. The first – 1,0471975 – represents, as we can see at first sight, circa a tenth of this measure.

5.

There are many more reasons of interest for the side of the Great Pyramid. For example, we could find an allusion to the golden number, even in the diagonal of the square at the base of the Great Pyramid measured in meters, given that it is equal to

√(230,362 ∙ 2) = √(53065,7296 ∙ 2) = √106131,4592 = 325,778..

The half of this cipher correspond to the catheters of one of the four right-angle triangle in which we can break up the square at the base of the Great Pyramid. Its lengths is equal to

325,778.. : 2 = 162,889.. ≈ 100ɸ = 161,803..

instead, the square root of the perimeter expressed in cubits ( that seems the “exact” perimeter, that is the one in which the decimals don’t appear) it seems a clear allusion to ɸ, given that

4√1760 = 6,47706.. ≈ 4ɸCheops = 6,47436136 ≈ 5 + 3√2ɸ = 6,47912..

If we add 4 to 4√1760 we get very near to the measure of the east-west side of the Chamber of the King (10,479 meters)

4√1760 + 4 = 6,477063.. + 4 = 10,477063.. ≈ 10,479

Anyhow, above we have hypothesized that in the Great Pyramid it coexists together with the meter and the cubit, also a third unity of measurement, derived from the ratio G/h, that we have called “Great Pyramid meter” (in letters we could call them “mGP”). If we consider this right, at a level of a mind experiment, we ascertain that the side of the Great Pyramid would be circa of 228,8 mGP. The half of the diagonal that we have calculated above, would be a nearly perfect approximation of a multiple of 1 + 1/ɸCheops = 1,617821552..

√(228,82 ∙ 2) : 2 = 161,786.. ≈ 102 ∙ (1 + 1/ɸCheops) = 161,782155..

If we subtract 102 to the result that we have obtained (that is the multiplier of the approximation of 1 + 1/ɸCheops that is at the base of the obtained measure) and then we calculate for four consecutive times the natural logarithm, we obtain an excellent approximation to the constant of Dirac, multiplied by – 1. To represent the sequence of natural logarithms or of logarithms to base 10, on they inverse, we will use the symbols “Ln”, “log”, “inv. Ln”, “inv. log” preceded by a number wrote in the lower left. In this case, as we will calculate a series of 4 natural logarithms, we will write “4Ln”

4Ln 61,786.. = -1,054512.. ≈ ħ x -1 = -1,054571..

If we carry out a similar process with 102 ∙ 1/ɸCheops the approximation that we obtain, is even better

4Ln 61,782 = -1,054543.. ≈ ħ ∙ -1 = -1,054571..

Following an inverse procedure, we can obtain an extremely good approximation of ɸCheops from ħ ∙ -1 = -1,054571..

1 : [(4inv. Ln -1,054571..) : 102] = 1 : (61,77859.. : 102) =

= 1/0,6177859.. = 1,6186837.. ≈ ɸCheops = 1,61859034.. (-0,000093)

The area of Great Pyramid’s base, measured in mGP, would be equal to

228,82 = 52349,44 ≈ 2 ∙ (1/ɸCheope + 1)2 ∙ 104 = 52346,93

6.

All that we have discovered up to now, regarding the measures of the Great Pyramid expressed in meters, suggest us that almost inevitably, even these same measures expressed in cubits should have some reasons of interest. In effect, for example, the root of the half of the perimeter, leads us to the duration of the lunar month, the 32th root takes us very close to the golden number, whilst the 128th leads us to a very good approximation of ħ, given that

√880 = 29,66 ≈ 29,53 duration of the moon’s phases expressed in solar days

32√880 = 1,23599.. ≈ 2/ɸ = 1,23606.. (-0,00007)

128√880 = 1,054396.. ≈ ħ = 1,054571..

As we all know, the constant of Dirac “cut h” is a derivative of the constant of Planck, given that ħ = h/2π. At this point, maybe it would no longer be a surprise for everyone, to discover that we can obtain a very good approximation of the constant of Planck calculating the natural logarithm of the side of the Great Pyramid expressed in cubits plus 102 times π. In fact

Ln (440 + 100π) = Ln 754,159.. = 6,6256.. ≈ h = 6,626

Given what we have seen, maybe it is worth to show an ulterior detail, that, we are aware of this, could even be seen as the product of a mere speculation, but we are going to show it anyway, just out of curiosity. One of the numbers to which the measure of the side of the Great Pyramid expressed in cubits seem to allude, is the 2, and therefore also 20, given that 20 ∙ 22 = 440. Well, if we take 20 e and we add π – one of the characteristic numbers of the building, calculating the logarithm, we still obtain another surprise.

Ln (20 + π) = Ln 23,1415.. = 3,141631.. ≈ π = 3,141592.. (-0,000038)

7.

The analysis that we have led, maybe teach us that very rarely the typical numbers that we individuate in the sacred architecture like in the Ancient Egyptian myths, have to be considered scientifically insignificant. For example in the stories of Herodotus, we can find a very mysterious one, the 341. This number corresponded, according to the ancient Egyptians priests that communicate it to the first western historians, the number of rows of statues that in turn corresponded to the number of ancestors still alive, of each priest . Curiously this number has also other interesting characteristics, that don’t seem to have much to do with the succession of the generations of the Ancient Egyptians priests.

The premise to this reasoning is that it exists a number that raised to the power of itself , gives us the Euler number. This number is

1,76322283435..1,76322283435.. = e = 2,7182818284590452353602874713527

A first element of interest of this number, is that we can obtain it with a good approximation from ɸ

ɸ + 1/ɸ4 = 1,7639320225002103035908263312687

But the most important aspect, seems another one. If we take this number and we make the golden ratio of it, we find a number very similar to the one that in The Snefru Code part 3 and part 7 we have seen to characterize the ratio between the characteristic number of the constant which describe the mass of the proton (mp = 1,6725 ∙ 10-27 kg) and that of the classical radius of the proton (rp = 1,535 ∙ 10-18 m) , given that

1,76322283435.. : 1,618033988.. = 1,089731.. ≈ mp/rp = 1,6725/1,535 = 1,089576..

This number as we will see in a successive work, is really important in establishing the harmonic ratios in the field of the atomic constants. But, apart from this, if we calculate the natural logarithm of this number we arrive to

Ln 1,76322283435.. = 0,56714329040870816652189326568186

As it will occur many times going on in this work, this number seems first sight totally insignificant. But calculating once again the natural logarithm of this number, we get to a number equal to its negative

Ln 0,56714329040.. = -0,56714329041..

Basically, we can obtain a number very similar to this one, starting from that cypher that is passed on to Herodotus by the ancient Egyptian priests. Calculating for three consecutive times the natural logarithm of 341 we arrive to

3Ln 341 = 0,56720964896044106242479165324605

The natural logarithm is practically equal to the negative value of this number, given that

Ln 0,567209.. = -0,567026..

This means that calculating for two consecutive times the natural logarithm of 341, we get very close to that cipher that raised to the power of itself, gives us the Euler number.

2Ln 341Ln(Ln 341) = 1,76333984314..1,76333984314.. = 2,71878033.. ≈ e = 2,718281828..

9.

Other times it can happen that the ones that we can define “the typical numbers” of Ancient Egypt, could be used as a system. For example, if we take the characteristic number of the sarcophagus of Djedefre (234) and we sum it to the one of the number of days of the Ancient Egyptian solar calendar (365) we obtain an important 599. calculating for three times the natural logarithm starting from this cypher, we obtain

2Ln 599 = 0,618185.. ≈ ɸCheops – 1 = 0,61859.. ≈ 3√Ln (e√10/100) = 0,618187..

Who has read The Snefru Code part 7 will maybe remember that the typical number of the sarcophagus of Djedefre(234), in connection to the typical number of the cycle of the Dog-star, gave rise to a very interesting approximation of π , that they have called πDjedefre

(1461 : 234) : 2 = 3,12179..

This number was very interesting because it allowed us to calculate in a very much exact way the gravitational constant. Well, if we take the gravitational constant e we calculate the inverse of its double logarithm, we obtain

1/2Ln 6,672= 1/0,640758.. = 1,56065.. ≈ πDjedefre/2 = 1,56089..

Situations of this kind, warn us that it exists a way of conceiving mathematics that has little to do with ours. This “other” mathematics has not the aim of projecting order in the chaos, but, in contrary, to discover a secret order in an apparent chaos. This means that we can go searching ratios that in the modern West would discredit the reputation of any mathematician. Ratios that maybe are a bit approximative, maybe based on the fact that the principle of uncertainty makes any cipher a bit approximative. Ratios that anyhow are like the ones that we are showing here below.

Ln π + c – 1 = 1,14472988.. + 2,9979246 – 1 = 3,142654.. ≈ πCheops = 22/7 = 3,142857..

(tg e° + 1) ∙ 3 = (tg 2°,71828.. + 1) ∙ 3 = (0,04747859.. + 1) ∙ 3 =

= 1,04747859.. x 3 = 3,142435.. ≈ πCheops = 22/7 = 3,142857..

1/sen c2 = 1/sen 8°,98755190728516 = 1/0,1562198759.. = 6,401234..

2Ln 6,401234.. = 0,61868.. ≈ ɸCheops = 0,61859..

second part:

THE TRIGONOMETRIC SYSTEM OF BABYLONIAN ORIGIN AS HERMETIC-SCIENTIFIC CODE

1.

One of the most obvious and relevant consequences of the reasoning that we have carried on up to now, it is that in addition to the cubit, the half cubit etc., these people knew also the meter, the decimeter, the centimeter, the kilo, the kilogram, the litre and the whole of our metrical-decimal system. It is only for this reason that the side of the Great Pyramid can be defined with 440, that is its measure in cubits, and the 230, that is its measure in meter (excluding the decimals)

This fact would in turn demonstrate the fundamental truth of that hermetic tradition, of which Isaac Newton was a follower. This tradition attributed to Ancient Egypt a full and perfect scientific knowledge of the Universe.

Therefore also the logical consequence of this statement would result true: that if in the modern world we have somehow achieved to possess a science, even if it was a long way from the depth and perfection of the past, this is due to the fact that some fragments of this ancient knowledge have been preserved and passed to us. Apart from all the Greek mathematics and geometry, that in this view would be nothing more that a kind of heritage of an ancient scientific thought, tens of thousands of years old, this heritage include also the metrical-decimal system. The French Revolution has only been the right occasion that was chosen from the possessors of this secret knowledge, to make it finally public and publicly available, winning the resistance of the Ancien Regime with the disruptive force of the Republic army.

We naturally imagine that these statements would appear to someone as complete ravings and science-fiction stories. Therefore what we have now exposed it would not be the draft of a real “theory”, but a reverie slightly fool and completely unfounded, due to a sort of mental illness of which, according to the traditional Egyptologists, the “pyramid-idiots” suffer, this is the “pyramid-idiocy” . The product of such a delirium would be some pseudo-theories, sometimes much more fool than the one that we have just now described, that has anyway a certain degree of credibility due to the fact that has been professed by one of the greater geniuses of the West.

Maybe we can call “pyramid-idiot” to certain people that are John Anthony West, Bauval or Hancock still not feeling so much guilty for doing so. Much more difficult it would be to do the same with Isaac Newton, a scientist capable of inventing the first great Western scientific theory , the inventor of the infinitesimal calculus, engineer that was able to invent and build the first mirror telescope.

2.

Hence, as much as it can seem strange, the unquestionable and definitive proof of the truth and validity of the “pyramid-idiot” hypothesis, is not in some document somehow found, or in a new video in which the UFOs fly over Paris: it has to do instead with the equations that we find hereunder. Modern equations, that employ anyhow a very ancient method, this is sexagesimal based trigonometry, together with the degree fractions but expressed in hundredths.

At this point the “traditional” reader will ask himself: but don’t we all know that the sexagesimal trigonometry has origins that go back even to the Babylonian world? And this is a field that has really nothing to do with modern science, its procedures, its theoretical bases, its technique and its unities of measurement!

We are once again aware that this objection will seem to everyone absolutely obvious and banal. So obvious and banal that there will be someone that would have considered its exposition as a waste of time, or a mere rhetorical device.

But because the topic that we are about to deal with, seems to irrefutably deny it (at least the part that sees the Babylonian trigonometry unrelated to a technical-scientific context comparable to ours), quite soon the reader will realize that it has been very useful to repeat this banality, if not absolutely necessary. If only to have a measure of the depth of the abyss that is going to open under our feet when we follow the foot-steps of a mathematical reasoning like the one that follows.

3.

As many people know, even if this is usually a notion neglected by archaeologists, one of the theoretical bases of our most advanced mechanics, the quantum mechanics, it is the constant of Planck. With it we have discovered that energy is not an infinitely dividable fluid, but an entity constituted by minimum parts (a sort of fine dust entity). In fact it is transmitted by integer multiples of a minimum quantity. Below this quantity, it is therefore not possible any emission or reception of energy.

This minimum quantity, correspond to a constant value, which symbol is h. Recently we obtained a value of h = 6,626 ∙ 10-27 erg/s (even if more commonly this value is expressed as 6,626 ∙ 10-34 joule/s). The value that was originally established by Planck was anyhow slightly inferior, given that according to his calculations it was hPlanck = 6,55 ∙ 10-27 erg/s.

The difference of the value, according to the idea that we have of the constant values, corresponds to a major precision of the modern measure. It doesn’t occur to us that the value of the constant could instead be variable. Variable, for instance, within the 6,626 and the 6,55 ∙ 10-27 erg/s. Obviously the values of these constants, depend on the unities of measure that are used. If instead of using the meters and kilos we would have used the inches or the pounds, these values would be presumably different.

But now, the equations that we are about to expose, seem to establish an inextricable bond:

1) between the value of h established by Planck at the beginning of the century and the one that is nowadays in use.

2)between the modern western metrical-decimal system and the sexagesimal based trigonometry of not very clear origins but without any doubt, very, very ancient (the division system of the round angle in 360 parts is attributed to the Babylonians: but it is known that the “pure” days of the Ancient Egyptian and Maya calendar where just 360, and this makes us think that this system was much more wide-spread than we could think today).

Going straight to the point, if we take an x angle which cosine is equal to 1 divided by the constant of Planck actually in use (excluding the power of 10), we obtain:

cos x = 1/h = 1/6,626 = 0,15092061575611228493812254753999

This angle is equal to

x = 81°,319718653708886232001844325622

Now, what should we say when we discover that the tangent of such angle, that we have deduced in a trigonometric way starting from the constant of Planck actually in use, is exactly equal to the constant of Planck measured by the same Planck at the beginning of the century?

In fact

tg 81°,319718653708886232001844325622 = 6,55010.. ≈ hPlanck = 6,55

This unquestionable trigonometric fact, seems to prove the inexorable evidence of the mathematical logic that between the constant of Planck measured at the beginning of the century and the one actually in use, there is an equally unquestionable trigonometric proportion. A trigonometric proportion though, that is founded on numbers that have been established some millenniums ago. And this could show that the constant is not a fixed value but a variable one. A first clue of this fact, can be found in the fact that the relation between h and hPlanck, corresponds in a practically exact way to a function of π. In fact

h/hPlanck = (6,626/6,55)4 = 1,011603..4 = 1,047226.. ≈ π/3 = 1,047197.. (+0,000029)

In fact, the approximation of π that we can obtain from 6,626/6,55 is

(6,626/6,55)4 ∙ 3 = 3,141678.. ≈ π = 3,141592.. (+0,00008614283)

Curiously, even the mistake that we have registered seems to have something to do with π, given that

16√(0,00008614283.. ∙ 10 5) = 16√8,614283.. = 1,144066.. ≈ Ln π = 1,144729..

Furthermore, about the values of h and hPlanck, we have to make some interesting considerations. The first is that from the difference from h! and hPlanck! we can obtain a good approximation of h in the rather simple way that we see below

[(h! – hPlanck!)/102] ∙ 2 = [(6,626! – 6,55!)/102] ∙ 2 = (331,219.. : 102) ∙ 2 =

= 3,31219.. ∙ 2 = 6,624389.. ≈ h = 6,626

The second is that we can obtain the length of the east-west side of the Chamber of the King (equal to 10,479) from h ∙ ħ in the way that we see below

81√(h ∙ ħ) ∙ 10 = 81√(6,626 ∙ 6.55) ∙ 10 = 81√43,4003 ∙ 10 = 1,047649.. ∙ 10 = 10,476.. ≈ 10,479

Instead, if we calculate for two consecutive times the natural logarithm of 6,626 and then we multiply it by -1 we obtain

2Ln 6,626) ∙ -1 = -0,63710647919364175207081345904458

If we do ex with this number, and we multiply it by 2 we obtain

e-0,63710647919364175207081345904458 ∙ 2 = 1,0576407302833595003377279865383

Calculating the root of this number using as exponent the number itself – that’s to say doing x√x – we obtain a good approximation to ħ, very near to the one that in The Snefru Code part 3 we have obtained by the summation of sinus, cosine and tangent of π/2

1,0576407302833595003377279..√1,0576407302833595003377279.. = 1,054415431.. ≈ ħ = 1,054571628.. ≈

≈ sin + cos + tg π/2 = 1,054458788..

4.

The shock that we can feel in front of facts that seem at the same time so undeniable as incredible, could push anyone to close his eyes and deny reality. Therefore it is easy that when facing evidence we try to deny them, bypass them, maybe “explaining them” using once again the concept of “chance” (whatever it means). A very easy way out that we have used so many times, for example when facing the wonders of the techniques of the Stone Age. So it is easy to foretell that we will try to do it once again in many other occasions. Apparently, in a certain type of cultural environment, any means is legitimate to deny that in the ancestral past of humanity we had scientific knowledges similar to ours, or even that our scientific knowledges are an inheritance of our despised, primitive past.

But that this time we can’t talk of a fluke is demonstrated in an unequivocal way by the fact that this trigonometric sequence of “scientifically meaningful numbers” continues inexorably.

In fact, to reach this first result, we have taken into account the constant of Planck h = 6,626 and we calculated 1/x, considering the result of this operation as a cosine. The angle that we had rebuilt is the one that has as a tangent h = 6,55. At this point we can carry on our experiment. If we take the tangent of 81°,319718.. and we calculate again 1/x we obtain

1/6,5501050373257374199947425311201 = 0,15266930748461368432061342269216

In this way we obtained a result that corresponds to the cosine of an angle equal to 81°,218.. The tangent of this angle divided by 4 is nearly identical to ɸCheops

tg 81°,218.. = 6,473320322.. ≈ 4ɸCheops = 6,474361384..

As much as it could seem incredible, we have obtained a second scientifically important result following a trigonometric method of deduction, that in a first place seems completely unfounded. To verify if it is a just a chance, or if it is not, we can try to carry on further.

If we take the tangent of tg 81°,218.. and we calculate 1/x, we obtain

1/ 6,4733203.. = 0,15448022809819092853944073660407

This number corresponds to the cosine of the angle of 81°,11334.., which tangent has the value of

tg 81°,11334.. = 6,395613809479118322478001707081

This time, it really seems that we are facing a completely anonymous and insignificant number. We will discover how much this impression is wrong, making for two times the natural logarithm of it.

2Ln 6,395613809479.. = 0,618214.. ≈ ɸCheops – 1 = 0,618590..

5.

So, for the third consecutive time, we have obtained a scientifically meaningful result. The possibilities that such a thing could happen by chance, seem so little that we could stop here. But because to people that believe in chance, no mathematical proof seems to be enough, we can try to carry on and see what it happens. This seems to be very useful also to be aware of the nature and of the extension of the code that we are investigating. A code that, we must repeat it, is founded on a trigonometry of which we start to know about in an epoch that goes from two, three millenniums before Christ (but which origins should be enormously much more ancient).

So, if now we take the tangent of 81°,11334.. and we calculate 1/x we obtain

1/6,395613809479118322478001707081 = 0,15635715816953675300790569840083

The result of this operation corresponds to the cosine of the angle of 81°,0044.., which tangent is

tg 81°,0044.. = 6,3169514799466364113973812196679

If to this number we subtract 6, we see that 0,3169514790.. corresponds to the cosine of the angle of 71°,52133.. which tangent is equal to

tg 71°,52133.. = 2,9923878..

Who has read The Snefru Code part 3 and part 7 will have realized that this is an angle extremely similar to the one that has for tangent c = 2,9979246, this is the angle of 71°,55315..: the characteristic angle of the plate that the colonel Vyse has found at the end of the South Shaft of the Chamber of the King.

The angle with a tangent perfectly corresponding to

6 + cos 71°,55315.. = 6,316424771589220686556015382673

it is the one of 81°,0037.., that is of only 7 ten-thousandth of degree lower to the one that we have obtained with our calculation.

This is maybe the right moment to observe that the starting number of this trigonometric sequence, the constant of Planck that is actually in use h = 6,626, could have not been the one determined through the empiric method, but instead a value that has been determined in a numerological way through π. In fact, carrying on the way that we see below, we obtain a value excellently approximated of the Planck constant

14√(π ∙ 1011) = 6,62559660.. ≈ h = 6,626

The numerological validity of this method is confirmed by the fact that if we calculate the ratio between the exponents of this operation, we obtain a very good approximation of ɸ, given that

(14/11)2 = 1,272727..2 = 1,61983.. ≈ ɸ = 1,61803..

whilst from the 11 we can obtain a very good approximation of ħ = h/2π

√[(3√11) : 2] = 1,054509.. ≈ ħ = 1,054571..

An additional confirmation of the validity of this operation is the fact that with the same method with which we have built it, we can obtain a very good approximation of the gravitational constant, given that

9√(ɸ2 ∙ 107) = 6,67143.. ≈ G = 6,67 – 6,672

In this case, the sum of the power exponents, gives us the root exponent. In addition to that, if we make 9√(ɸ2 ∙ 107)! we obtain a very good approximation of ɸ2 ∙ 103

9√(ɸ2 ∙ 107)! = 6,67143..! = 2618,025384.. ≈ ɸ2 ∙ 103 = 2618,033988.. (-0,008603..

It seems therefore that we have found a different, sort of a priori method to establish one of the most important constant of physics. A method based on powers and on roots of the two fundamental numbers – π and ɸ – that have been used to build the Great Pyramid.

Well, if we start from that value of h that we have arrived to through π, repeating the same sequence that we have done above (1/tg = cos), we finally obtain an angle equal to 81°,00389.., which tangent is

tg 81°,00389.. = 6,3165283526279336851409104680127

Repeating the operation that we have done above (tg – 6 = cos x), we obtain a really well approximated value of c = 2,9979246, given that subtracting 6 to the tangent and interpreting the result as a cosine, we obtain an angle equal to 71°,54689.., which tangent is 2,9968343.

Anyhow, the way in which h has been trigonometrically codified, makes us suppose that we could have chosen whichever value between 6,626 and 6,55: so even the one through which we get to the exact value of the angle that has as a tangent c = 2,9979246. This value is circa 6,62549.. Starting from now and following the same procedure (1/tg x = cos y) we obtain the angle of 81°,003746699.. that has for tangent 6,31642477.. Subtracting 6 to this value, we obtain the cosine of the angle of 71°,5531526.., that has for tangent c = 2,9979246.

So It really seems that the consequence that we can deduct from these operations is this: that we have found mathematical proofs that seem unquestionable, that prove the existence of a trigonometrical-numerological progression that unites two angles that have tangents equal to h = 6,626 and hPlanck = 6,626. This progression goes on until we get to an angle with the tangent equal to c = 2,9979246. A progression that makes possible the fact that 1/tg x, gives as result the cosine of the next angle, that still results somehow scientifically meaningful.

For the moment we have found four of them. but incredibly this progression doesn’t stop here.

6.

In fact if we take the tangent of the angle 81°,0044.. and we calculate 1/x we obtain

1/6,3169514799466364113973812196679 = 0,1583042078405274818766322654889

This number corresponds to the cosine of the angle of 80°,8915199.. This angle’s tangent is equal to

tg 80°,8915199.. = 6,2372971710509352642320499754538

If we subtract 3 to this number and then we divide the result by 2 we obtain

(6,23729.. – 3) : 2 = 1,61864.. ≈ ɸCheops = 1,61859..

Hence we have found for the fifth consecutive time a scientifically meaningful result. Here, we should stop and think about the fact that in the last two cases, the connection between the value of the tangent and the scientific data obtained is not so immediate like the one that we have seen earlier. But we all know how in the past of humanity, the procedures that we call with contempt “numerological” were on the contrary very much respected and considered as deeply significant.

Following this tradition, to get to the result that interests us, we have used two numbers that are very important in numerology, these are the 6 and the 3. The first one is a number that symbolically connects as much as to the Number of the Beast (666) as to the number of the days in which the God of the Ancient Testament has created the world, and in addition to the sexagesimal system in general.

As to the 3, the examples that we could bring are so many, that mentioning only one, we do injustice to all the others (the closest historical example is maybe history as thesis–antithesis – synthesis, created by Hegel and used also by Marx, even if the appeal of the trinity explanation was felt some time ago even by Freud, that explained the dream production in a way similar to Hegel, as a child desire-daily activation-dream).

Moreover, in this context, 3 results meaningful at least in two cases.

As to the first, if we calculate 6,626 + 3 = 9,626 and we interpret the result as an angle, its cosine is equal to circa a tenth of the value of the characteristic number of the constant that we need to determine the mass of the proton mp = 1,6725 ∙ 10-27 kg

cos 9°,626 = 0,167216.. ≈ mp/10 = 0,16725

The second case is still more meaningful. If we calculate the golden ratio of 3, we get really close to that number that raised to the power of itself, gives us π. Not having a name to define it, we will call it “number of Cheops” (NC), in honor of those who have so brilliantly codified this so important constant in the greatest masterpiece of sacred architecture that humanity has ever built.

3/ɸ = 1,85410196624968454.. ≈ NC = 1,85410596792102643…. (-0,00000400167)

As we have said , NC, if raised to the power of itself, gives us exactly π, given that

1,8541059679.. 1,8541059679.. = 3,141592653.. = π

This means that if divided by 3 NC gives a really good approximation of 1/ɸ, as

1,8541059679.. : 3 = 0,618035322.. ≈ 1/ɸ = 0,618033988.. (+0,0000013)

This in turn demonstrates that the golden ratio of 3 has a really close relation to π, given that

(3/ɸ)(3/ɸ) = 1,854101966..1,854101966.. = 3,141572.. ≈ π = 3,141592.. (-0,00002)

So the 3, in addition to the many metaphysical meanings it has also some unexplored mathematical ones, that cause that it can be seen as the synthesis of the two numbers on the basis of which the Great Pyramid has been projected, that is ɸ and π. So, it can be seen also as the synthesis of the divine mind that has generated the order of the Universe exactly on the basis of ɸ and π.

7.

A possible proof that the Ancient Egyptians knew what we have called the Number of Cheops and its proprieties can be found in the base angle of the Rhomboidal Pyramid. This angle has not arisen the same debates and the same passions as the Great Pyramid. On the other hand, the good preservation of the covering has consented operations of measurement a little more confortable, and it seems that it measures around the 54°,5. This means the angle of 54°,488125.. corresponds fairly well to the one of the Rhomboidal Pyramid. Its sinus is 0,81399.. and, what a surprise, we can derive the Number of Cheops from this value in the rather simple way that we see below

(1/0,81399..)3 = 1,22850855159..3 = NC = 1,85410596792..

Let’s remember that the angle of 54° is closely connected to the Number of the Beast because we can obtain it from the round angle, as 360° : 6,666… = 54°. On the other hand, the angle of 54° is closely connected to the golden number because the inverse of its sine is exactly equal to 2/ɸ

1/sen 54° = 1/0,80901699.. = 1,23606.. = 2/ɸ

This kind of situation concerns all the multiples (with the exception of 90°, 180°, etc) of this sacred number, which is at the base of the Maya calendar system, as we can see in the below examples

cos 36° = 2/ɸ; cos 72° = 1/2ɸ; cos 108° = -1/2ɸ; sen 126° = 2/ɸ; cos 144° = -2/ɸ; etc.

We note in passing that if we apply the function xx, for instance, to 1/sin 72°, we obtain a good approximation of the characteristic number of ħ = 1,054571628 ∙ 10-34 joule ∙ sec

1/sin 72°1/sin 72° = 1/0,951056..1/0,951056.. = 1,051462..1,051462.. = 1,054181.. ≈ ħ = 1,054571..

Let’s notice that the Number of Cheops is bound in a numerological way to 54 because the first two ciphers are 18 and 54 (and 54 = 18 ∙ 3). And this applies also to the Dirac constant, given that a good approximation of it can be built in a numerological way starting from 54, 10 and 1, writing

1 + 54/103 + (54 + √10) : 105 = 1,054571622.. ≈ ħ = 1,054571628..

Considering this, we could say that the results that we have reached until this moment, are well based both in a numerological method than in a strictly mathematical-trigonometric one. This authorizes us to try and carry on further with our experiment.

If we take the tangent of the angle of 80°,8915199.. and we calculate 1/x we obtain

1/6,2372971710509352642320499754538 = 0,16032585470534954574274424418415

The result of this operation corresponds to the cosine of an angle equal to 80°,774189..If we consider this angle as a pure number and we calculate the 4th root, we get an extraordinary good approximation of c = 2,9979246, given that

4√80,77418950716283339560921274637 = 2,9979069.. ≈ c = 2,9979246 (-0,0000177)

The tangent of this angle is equal to

tg 80°,774189.. = 6,1566123801974085300430291075319

If we take the value of this tangent and we divide it by the approximation of c that just obtained, and we calculate the cubic root, we have that

3√(6,1566123801974085300430291075319 : 2,9979069727404112497496745247847) =

= 3√2,0536368994030521460837273262119 = 1,2710848810387944588735941865114

The result of this operation is anonymous only apparently. In fact the lovers of Pyramidology will have already realized that it corresponds in a practically exact way to √ɸ = 1,27201.. as for the tangent of an angle equal to 51°,806.., inferior of only 9/1000 to the one of the Great Pyramid (circa 51°,817).

Then we have obtained for the sixth time a scientifically meaningful result. Therefore we can try to still carry on

8.

If we take the tangent of the angle of 80°,774189.. and we calculate 1/x we obtain

1/6,1566123801974085300430291075319 = 0,16242698715554600616683710941679

This results corresponds to the cosine of an angle equal to 80°,6522.. Its tangent is

tg 80°,6522.. = 6,07485604767717932136058632162

If we subtract 3 to this number we obtain 3,0748, this is a close approximation of the characteristic number of the constant that describe the classical diameter of the proton (dp = 2/rp = 2 ∙ 1,535 = 3,07). Dividing it by 4, calculating the root and dividing once again the result by 2 we obtain the characteristic number of ℓP

√(6,074856047677179.. : 4) : 2 = √1,518714.. : 2 =

= 1,232361.. : 2 = 0,616180576.. ≈ ℓp – 1 = √(ħG/c3) – 1 = 1,616252 – 1 = 0,616252

What we have symbolized with ℓP is the length of Planck, this is the smallest distance that we can describe, below to which the concept of dimension loses every physical meaning. So we have obtained for the seventh time a scientifically relevant result. Relevant especially when we realize that taking 0,61618.., multiplying it by 10 and calculating two times the natural logarithm we obtain once again an important scientific data, this is 1 divided by the characteristic number of the constant that we need to obtain the mass of the proton.

2Ln (0,61618.. ∙ 10) = 0,5979399.. ≈ 1/mp = 1/1,6725 = 0,5979073..

Moreover, a number very close to √(ħG/c3) – 1 = 0,616252.. can be obtained also from the characteristic number of hPlanck, given that dividing it by 2 and calculating the ninth root we obtain that

9√6,55 : 2 = 1,23223482291.. : 2 = 0,616117.. ≈ ℓp – 1 = √(ħG/c3) – 1 = 0,616252..

An approximation of ℓP can be obtained also by means of ɸCheops

1/(ɸCheops – 1) = 1/0,618590346.. = 1,616578.. ≈ ℓp = 1,616252..

As we have already seen in The Snefru Code part 3 and part 7, this kind of ratios between the physical constants, is usually a rule instead than an exception. For example, we can obtain ħ starting from the constant that we need to calculate the unit charge, in this way

(1,6022 – 1) ∙ π = 1,8918670959917734882022038454109

Calculating the 12th root we obtain

12√1,8918670959917734882022038454109 = 1,054567.. ≈ ħ = 1,054571.. (-0,000004)

From the same number we can get also very close to ɸ

3√1,8918670959917734882022038454109 = 1,23679.. ≈ 2/ɸ = 1,23606..

But we can get to very similar results also by the natural logarithm of h

12√Ln h = 12√Ln 6,626 = 12√1,891001303.. = 1,054526.. ≈ ħ = 1,054571..

3√Ln h = 3√Ln 6,626 = 3√1,891001303.. = 1,236603.. ≈ 2/ɸ = 1,23606..

Given the great mathematical-scientific interest of this investigation, we could try and carry on further. But, because the aims that we set in this essay transcend the topics that are exclusively mathematical, maybe it’s better to stop here.

Before moving to the next part of this work, let’s just look at one last thing. This is that trigonometry that (presumably) is of Babylonian origin is capable of putting into order in a very precise way even two values that we usually judge unmeasurable, these are π and ɸ. Two values that in the course of this work have become already very much familiar.

As it is well known, to move on from the hundredths of a degree to the sixtieth of a degree, we must take the tenth part of a degree and divide it for 100, then multiply it by 60. Well, if we take an angle equal to ɸ2/10 = 0,2618033988.., we divide it by 102 and we multiply it be 60 we obtain

(0,2618033988.. : 102) ∙ 60 = 0,15708203.. ≈ π/20 = 0,15707963.. (+0,0000023)

The approximation of π that we are able to obtain, is really excellent.

0,15708203.. ∙ 20 = 3,141640.. ≈ π = 3,141592..

This results is also the cosine of an angle which tangent is practically identical to 2π

sin x = (0,2618033988.. : 102) ∙ 60 = 0,15708203..

x = 80°,962432..

tg 80°,962432.. = 6,287068.. ≈ 2πCheops = 2 ∙ 22/7 = 6,285714..

9.

The second thing left to notice is that the possible starting point of this mathematical series built through the function cos x = 1/tg y could not be the 6,626. In fact, as it exists a number that raised to the power of itself gives π, in the same way, it exists another one that raised to the power of itself gives us 360. It’s the one that we see here below

4,141827188146.. 4,141827188146.. = 360

If we multiply this number by ɸ we obtain

4,141827188146.. ∙ 1,618033988.. = 6,7016171659486335767923753847203

Applying to this number the function cos x = 1/tg y we obtain

cos x = 1/6,7016171659486335767923753847203 = 0,14921771495409601860513182175028

x = 81°,418405272032021391905951842329

tg 81°,418405272032021391905951842329 = 6,6265883.. ≈ h = 6,62606..

If we repeat the operations that we have done above, we obtain completely similar results to the ones that we have obtained starting from the “round” 6,626

A very interesting feature of this number, is that if divided by π it gives us a practically identical result to 1 + 1/π. In fact

4,141827188146../π = 1,318384.. ≈ 1 + 1/π = 1,318309..

The approximation of π that we can obtain from it is rather good

1/(1,31838454.. – 1) = 3,140856.. ≈ π = 3,141592..

Moreover, we notice straight away that a good approximation of this number, can be obtained through π, given that

(π + 1)(π + 1) = 4,14159265358979323846264338327954,1415926535897932384626433832795 = 359,795..

Interestingly enough, we can reach a result very similar by making for two times the inverse of the natural logarithm of √π

2inv. Ln √π = 2inv. Ln 1,772453.. = 359,702.. ≈ (π + 1)(π + 1) = 359,795..

The elements of interest of this technique of calculation, are not finished yet. For example, as it exists a number that raised to the power of itself gives us 360, in the same way there is also that one that raised to the power of itself gives us 346,6, that is the duration of the year of the eclipses. It is the number that we see here below

4,126145.. 4,126145.. = 346,5978.. ≈ 346,6 year of the Eclipses

Well, if we divide this number by the number of Cheops, we obtain a good approximation of 2ħ2,

given that

√[(4,126145.. : 1,85410596792..) : 2] = 1,054848.. ≈ ħ = 1,054571..

Naturally, as it exists a number that raised to the power of itself gives us the duration of the year of the eclipses, at the same way there is a number that raised to the power of itself gives us the duration of the solar year. We see it here below

4,1478055.. 4,1478055.. = 365,25022.. ≈ 365,25 solar year

If we divide this cipher by the number of Cheops and we add 1, and then we divide it by 2, we obtain an excellent approximation of ɸCheops, given that

[(4,1478055.. : 1,85410596792..) + 1] : 2 = 3,2370919.. : 2 = 1,618545965.. ≈ ɸCheops = 1,61859034..

It seems rather outstanding also the fact that a very good approximation of this number can be obtained from a function of 4 and of 2ɸ in the way that we see below

4 + (1/10 ∙ 3√2ɸ) = 4 + (1/10 ∙ 3√3,23606..) = 4 + (1/10 ∙ 1,47912..) =

= 4 + 0,147912.. = 4,147912..

The approximation of the duration of the solar year that we can obtain from it, seems again rather good, given that

4,147912.. 4,147912.. = 365,34..

As a last thing, something that could be just a curiosity, or, who knows, maybe something more. As there is a number that raised to the power of itself gives us the number of the “pure” days of the Ancient Egyptian solar calendar (and so, also of the Mayan one, because their solar calendar, as we all know, was constituted by 360 pure day with the addition of 5 days, considered very inauspicious), in the same way, there is a number that raised to the power of itself gives us the days of the so-called “Tzolkin year”, a mysterious Mayan year that lasted 260 days.

4,006494972521.. 4,006494972521.. = 260 number of days of the Maya Tzolkin calendar

The double of this number, divided by 13 (the number of days of the “month” of the Tzolkin, calendar build by 20 unities of 13 days) gives us an excellent approximation of the length of Planck – 1

8,012989945042.. : 13 = 0,616383.. ≈ ℓp – 1 = 1,616252.. – 1 = 0,616252

Or, following a diverse method

4Ln 4,006494972521..4,006494972521.. = -0,616495.. ≈ ≈ ℓp – 1 = 1,616252.. – 1 = 0,616252

We’ll stop here, but it is obvious that this topic deserves further in depth analysis, that we will carry on in another occasion.

third part :

THE ANCIENT EGYPTIAN INHERITANCE IN THE WESTERN CULTURE.

1.

Let’s repeat a maybe obvious thing, that in such a context, it is really worth to repeat it, given that what we have discovered calls into questions everything that until now we have considered as obvious. Such a mathematical-numerological wonder, that is the possibility of chaining in an inexorable trigonometric sequence several so much important values for science and geometry, obviously cannot depend only on the trigonometric system that we have used: the round angle subdivided in 360 degrees and in hundredths of a degree. It must inevitably depend also on 3 other factors that are tied to this and form that logical-mathematical system of which we have seen above the stupefying effects. These 3 factors are:

1) the unities of measurement with which the constant from which we have started, this is the constant of Planck, has been established

2)the unities of measurement with which the constant of c = 2,9979246 has been established

3)the solar day as fundamental unity of measurement of the cosmic cycles

As we all know, 1 joule is 1 kg ∙ 1 m2/ 1 sec2 and is exactly equal to 1 ∙ 107 erg. Instead 1 erg, is equal to 1 gr ∙ 1 cm2 ∙ sec2. The speed of light is very often expressed in millions of meter for second, or anyhow with the decimal system This means that:

1) That the people that have established the trigonometric proportion between the constant of Planck actually employed and the one measured by the same Planck, knew the decimal metrical system, the division of time in seconds (and therefore in minutes and hours) and the weight in kg, gr and therefore quintals, tons etc.

2) That very probably, the constant of Planck is not a fix value but it oscillates between a minimum corresponding to the value established by the same Planck at the beginning of the century, and a maximum equal to the one that is actually used in the scientific procedure.

3) All that we have seen up to now, shows also that these unities of measurement, as the trigonometric code that includes them, have not been established for a mere need of convenience, but to create a numerological harmony among all the quantitative-mathematical data that determine the universe: so, as we have largely seen in The Snefru Code part 3 and part 7 and as we will see even better in The Snefru Code part 10, among the characteristic numbers of science and the ones of the cosmic cycles.

Just to make one example, if the meter had been seen as the same segment of the Earth’s circumference but divided by 50 million, or if the round angle would have been divided by 400 or 300 or 200 parts, this whole harmony would blow up. The 360 could not refer any longer at the same time to the annual solar cycle and to the precessional one as we have seen in The Snefru Code part 7 etc. Moreover, we notice that the 360 has a very special role concerning the round angle, that we can discover by looking at this particular ratio that we see here below

360/2π = 57,295779513082320876798154814105…

This ratio, as we are going to demonstrate, is the limit towards which they tend the function of x/sin x and x/tg x, with x that tends towards 0. To make an example, if we take x = 10-20 we obtain

10-20/sen 10-20 = 57,295779513082320876798154814105

This means in practice that at this point we can think as π not any longer as only the ratio between diameter and circumference of a circle, but also as the limit of the function

Limx→0 [360/(x/sen x)] : 2 = π

This means that what we believed to be the uniqueness of π is at least partially questioned by the uniqueness of the particular relation of 360 with trigonometry. In this way, the 360 seems in turn to claim back its own uniqueness among the integer numbers: even if it is not a prime number, even if it doesn’t have, at least at first sight, characteristics that can distinguish it from the other integer numbers, it shows as the measure of the circumference of a circle with characteristics that seem absolutely unique. A circle from which we can obtain the radius without passing by π.

But this is not everything. The inverse of the sine of 10-20 is

1/1,7453292519943295769236907684886 ∙ 10-22 = 57,295779513082320876798154814105 ∙ 10-20

In this particular case, if we calculate the 128th root of this number, we obtain

128√5729577951308232087679,8154814105 = 1,479058.. ≈ 3√2ɸ = 1,479128..

In the case that we take x = 10-30, The inverse of the sine is

1/1,7453292519943295769236907684886 ∙ 10-32 = 57295779513082320876798154814105

The 64th root leads us to a good approximation of π

64√57295779513082320876798154814105 = 3,134878.. ≈ π = 3,1415..

If instead we take x = 10-3 The inverse of the sine is

1/sen 10-3 = 57295,77951599120296355874866048

The 64th root of this number corresponds to the ratio between the characteristic numbers of the constants of the mass of the proton and of its classical radius mp/rp = 1,6725/1,535, that in turn, as we have seen in The Snefru Code part 3 and part 7, corresponds to a function of π and of ɸ and of the length of solar year (365,25 days) and the one of the lunar phases (354,36 days)

64√57295,779515.. = 1,089363.. ≈ mp/rp = 1,089576.. ≈ (2ɸ/π)3 = 1,092957.. ≈

≈ (365,25/354,36)3 = 1,095056..

If instead we take x = 10-2 The inverse of the sine is

1/sen 10-2 = 5729,5779803970530576298602606683

The 64th root of this number is

64√5729,5779803970530576298602606683 = 1,144776.. ≈ Ln π = 1,144729

The approximation of π that we can obtain is

e1,144776.. = 3,141738.. ≈ π = 3,141592..

We can find also connections between 360/π and π (and actually also with ɸ) in a more immediate way, if we accept the use of 10 in our functions, as we do here below

e(360/π)/10² = e1,145915.. = 3,145319.. ≈ πCheops = 22/7 = 3,142857..

[1 + (360/2π)/102] ∙ 2 = (1 + 0,572957..) ∙ 2 = 1,572957.. ∙ 2 = 3,145915.. ≈ e(360/π)/10² = 3,145319.. ≈

≈ πCheops = 22/7 = 3,142857..

4√[(360/2π)/102 – 1] = 4√(1,145915.. – 1) = 4√0,145915.. = 0,618052580.. ≈ 1/ɸ = 0,618033988..

If instead we take 360/2π and we divide it by the number of Cheops NC raised to the square, we find a number very similar 102/(6 ∙ 102), this is to the constant that we need to transform the sixtieth of a degree in hundredths of a degree multiplied by 10

(360/2π)/NC2 = 57,295779.. : 1,85410196624968454..2 = 57,295779.. : 3,437708.. = 16,66685..

If instead we divide 360/2π by the number of Cheops raised to the cube, we obtain a discrete approximation of c2 = 8,9875519..

(360/2π)/NC3 = 57,295779.. : 6,373876.. = 8,989157235.. ≈ c2 = 8,9875519..

2.

We must admit that to us the meaning of these ratios is still not clear: to a first glance, they seems to hide – or to show – something like a mathematical-geometric system. Anyway it seems clear that such things could not take place if the round angle was defined with a number different from 360. This means that the round angle divided in 360 parts (and therefore also the angle with a circumference equal to 360 unities, of whatsoever kind) has a very, very special connection with the constant that we need to calculate the circumference starting from the radius. We have seen that Limx→0 360/(x/sen x) = 2π. But in The Snefru Code part 3 we have seen that we can obtain the characteristic number of the Dirac constant making

sin + cos + tg π/2 = 0,027412.. + 0,999624.. + 0,027422.. = 1,054458.. ≈ ħ = 1,054571..

Now we know that we can write this same formula in this way

sin + cos + tg [Limx→0 360/(x/sen x) : 4] = 1,054458.. ≈ ħ = 1,054571..

But as we know that the Planck constant h is equal to h = ħ ∙ π ∙ 2, could get to this result this way

{sin + cos + tg [Limx→0 360/(x/sen x) : 4]} ∙ Limx→0 360/(x/sen x) =

= 1,054458.. ∙ 2 ∙ π = 6,625359.. ≈ h = 6,626

This probably means something, given that starting from 360/2πCheops and by the natural logarithm of πCheops we can get to a practically exact value of hPlanck

(360/2πCheops)/(Ln πCheops)16 = 360/(44/7) : (Ln 22/7)16 =

57,272727.. : 1,145132..16 = 57,272727.. : 8,743607.. = 6,550239.. ≈ hPlanck = 6,55

This approximation of hPlanck is very near to the one that we got from the trigonometric function cos x = 1/tg y, when tg y is equal to h = 6,626

cos x = 1/tg 81°,417654.. = 1/6,626 = 0,15092061575611228493812254753999

x = 81°,319718653708886232001844325622

tg 81°,319718.. = 6,55010503.. ≈ (360/2πCheops)/(Ln πCheops)16 = 6,550239.. ≈ hPlanck = 6,55

On the other hand, we notice that we can get to a good approximation of 360, in addition to, as we have already seen, from the root of π, also from its natural logarithm

Ln π ∙ 102 ∙ π = 114,472988584.. ∙ π = 359,627499.. ≈ inv. Ln (inv. Ln √π) = 359,702481..

And here there is to notice that subtracting 1/4 of length measured in cubits of a Big Pyramid side to Ln π ∙ 102, we get very near to the approximation of ɸ that was codified in its project

1 + {[(Ln π ∙ 102) – 440/4] : 2} = 1 + (4,472988.. : 2) = 1 + 2,236494.. =

= 3,236494.. ≈ 2ɸCheops = 3,237180..

Moreover, by the sine and cosine of (360/2π) we can obtain an excellent approximation of ɸCheops

√{[sen (360/2π)° + cos (360/2π)°] – 1} = 0,617878.. ≈ 1/ɸCheops = 0,617821..

Instead, from a multiple of a very important sacred number, the 19, whose very deep astronomical meaning in regard to the sacred architectural ensembles of Giza and Saqqara we will thoroughly analyze starting from The Snefru Code part 14, we obtain we can obtain both a good approximation of π and ɸCheops. In fact, if we divide 19 ∙ 4 = 76 by the cosine, it gives us a good approximation of 100π

76° /cos 76° = 314,1509.. ≈ 100π = 314,1592..

We obtain the approximation of ɸCheops calculating for three consecutive times the root of its natural logarithm

√3Ln 76 = √0,38235.. = 0,61835.. ≈ ɸCheops – 1 = 0,61859..

On the other hand, the inverse of its sine gives us the ratio between the numbers of the solar year and of the lunar one, given that

1/sen 76° ∙ 354,36 = 1,0306136.. x 354,36 = 365,208..

If instead we take the angle of 54 degrees (that, as we have seen, we can obtain dividing 360 by 6,666.. that is the Number of the Beast) we notice that dividing it by its sine, we obtain a value very near to the gravitational constant multiplied by 10

54°/sen 54° = 66,74.. ≈ 10G = 66,72

Given this, we have several reasons to think that the golden number must be very important in the structure of the trigonometric system. And another clue of this fact seems to be the fact that the angle in which the tangent and the cosine are the same is characterized in each of its features by ɸ, as we can see below

x = 38°,17270762701224749346830133285

tg 38°,172707627.. = cos 38°,172707627.. = 0,78615137775742328606955858584296 = 1/√ɸ

sin 38°,172707627.. = 0,61803398874989484820458683436564 = 1/ɸ

Also the angle equal to 360°/4 = 90° has some kind of interest in connection with π and ɸ. First thing, if we make the natural logarithm of 90!, and then we divide the result by 103, we obtain a very good approximation of 1/π

Ln 90!/103 = 0,31815263962020932684999307 ≈ 1/π = 0,31830988618379067153776752674503

The approximation of π that we can get seems very good too

1/(Ln 90!/103) = 1/0,318152639.. = 3,143145382.. ≈ π = 3,141592653..

Instead, if now we make the difference between 90! and e10³/π, we can obtain from the result a good approximation of 1/ɸCheops

√(log e10³/π – 90!)/360 = √log 2,52993847135665856788562444945 ∙ 10137/360 =

= √137,403109../360 = √0,381675305.. = 0,617798758.. ≈ 1/ɸCheops = 0,617821552..

3.

We know that mathematics, especially when consisting of long series of formulas with no clear synthetic meaning, could be boring. But, in this case, we are persuaded to have reach some sort of very important purpose with this list of connection between π, ɸ, the 360° angle and the Planck and Dirac constants. Hands up who is still capable to believe that what we have seen is nothing but a chaotic collection of coincidences: we are rather sure that no hand will raise. In contrary, we are rather sure that at this point of our analysis many people begin to suspect that the trigonometric system, based on a round angle of 360°, is nothing less than a geometric-scientific code, whose roots deepen in a so distant past that in this moment we are not even capable to imagine it. And the knowledge of this scientific code, even if in this moment appears to us still rather incomplete and obscure, could push us to conceive our more familiar formulas in a different way from the usual one.

For instance, the uncertainty principle, as we all know, it is usually expressed in this way

ΔP ∙ ΔV ≥ ħ = h/2π = (6,626068958.. ∙ 10-34) : 6,283185307.. = 1,054571628.. ∙ 10-34

As h/2π can be interpreted as the ratio between the perimeter and the radius of a circle, we can easy calculate also the area of this circle, that results

ħ2 ∙ π = (1,054571628.. ∙ 10-34) ∙ 3,14159265389.. = 3,4938321643595971262799480785886 ∙ 10-68

If we make for three times the natural logarithm of the inverse of this number, we obtain an approximation of ɸ whose value is between the exact cipher (ɸ = 1,618033988..) and the one that was coded in the Big Pyramid (ɸCheops = 1,618590346..)

3Ln 1/(3,493832164359597.. ∙ 10-68 ) = 3Ln 2,862186713491.. ∙ 1067 = 1,6185003889812913..

If instead of the 3 natural logarithms we make the 2916th root, what we find is an excellent approximation of the characteristic number of ħ

2916√1/3,493832164359597126279948078584 ∙ 10-68 = 1,054710.. ≈ ħ = 1,054571..

Maybe at this point it will be hardly surprising the fact that the exponent of the root that we see above only in appearance is extraneous to the context. In fact, it is nothing but one of the sacred numbers that we have seen above, only squared to the second power

542 = 2916

We recall that 54 is just the number through which we can obtain the Number of the Best from the round angle

360 : 54 = 6,666..

Actually, we might even think that the Number of the Beast is nothing but a sort of disguised 10, as

6,666.. + (6,666.. : 2) = 10

But the same we could say about the duration of the solar year

(10(365,25 ∙ 2)/10730)2 = (10730,5/10730)2 = [(√10 ∙ 10730)/10730]2 = (√10)2 = 10

From the factorial product of the duration of the solar year we can calculate a very good approximation of the characteristic number of the constant that describes the proton mass (mp = 1,6725 ∙ 10-27 kg)

1 + (4log 365,25! ∙ -2) = 1 + (-0,336174.. ∙ -2) = 1 + 0,672349.. = 1,672349.. ≈ mp = 1,6725

Form the double of the duration of the solar year we can calculate also a very good approximation of the characteristic number of the Planck constant h = 6,626

3√4log (2 ∙ 365,25)! ∙ -10 = 3√-0,290879.. ∙ -10 = -0,662579.. ∙ -10 = 6,62579.. ≈ h = 6,626

We note in passing that any factorial of any integer from 1 to 5 is a divisor of 360

360 : 1! = 360; 360 : 2! = 180; 360 : 3! = 60; 360 : 4! = 15; 360 : 5! = 3

This means that 360 is a divisor of the factorial of any integer from 6 to n→∞. For instance

6! : 360 = 2; 7! : 360 = 14; 8! : 360 = 112; 9! : 360 = 1008; 10! : 360 = 10080

Given this, we may hypothesize that this particularity of 360 could be one of the reasons why in ancient time 360 was chosen as the fundament of tirgonometry.

Coming back to the duration of the solar year, we have still to note that we could obtain it also following a trigonometric method, using the golden ratio of the round angle. But we have to recognize that in this way we do not get the exact value, as

1/10 ∙ tg 360/ɸ = tg 365°,23415358966394916505070.. = 0,091608191550196697742867560..

Instead, the duration of the lunar phases year (354,36 days) seems linked to the ratio between the two characteristic numbers of the constant of the mass (mp = 1,6725 ∙ 10-27) and of the proton radius (rp = 1,535 ∙ 10-18)

tg x = -1/( mp/ rp)27 = -1/(1,6725/1,535)27 = -1/1,08957654..27 = -1/10,13816041.. = -0,098637..

x = 354°,366.. ≈ 354,36

At this point no one will be astonished to discover that the Year of the Eclipses is trigonometrically linked both to the characteristic number of the Dirac constant ħ = 1,054571628.. ∙ 10-34 and the one of the unitary charge cu = 1,6022 ∙ 10-19. Here below we show the deductions following two inverse trigonometric ways

-27√(1/tg 346°,6) = -27√-4,197560640.. = 1,054566478.. ≈ ħ = 1,054571628..

tg x = -1/[18√(-1 – cu)]27 = -1/[18√(1 + 1,6022)]27 = -1/(18√2,6022)27 = -1/1,054567739..27 =

= -1/4,197696244685.. = -0,238225908143..

x = 346°,600417.. ≈ 346,6

4.

But we will analyze in a better way these things in a further work. In this moment we wish to emphasize the fact that through this research we got to the point to imagine the unimaginable: the uncertainty principle as a circle, a circle derived from an approximation of ɸCheops. How could be that this people constructed their buildings fumbling around with numbers? Usually, the definition of ɸCheops is calculated dividing the area of the four triangular faces of the Pyramid divided by the area of the square of the base. As its side is equal to 440 cubits and the height to 280, the apothem is equal to

√(2202 + 2802 ) = √126800 = 356,08987629529711189093117562948

So, the area of the four triangular faces is equal to

(4 ∙ 440 ∙ 356,089876..) : 2 = 313359,09113986145846401943455395

So, we have that ɸCheops is equal to

313359,091139.. : 4402 = 1,6185903467968050540496871619522

The apothem of the Pyramid is interesting in itself, because if we multiply it by π and then we make for 3 times the natural logarithm, we obtain the gravitational constant divided by 10

3Ln 356,089876.. ∙ π) = 3Ln 1118,689339.. = 0,667188.. ≈ G/10 = 0,6672

Anyway, strangely enough, in the texts that are dealing with the geometry of the Big Pyramid, usually we cannot find another, very interesting way to calculate this same approximation of ɸ. We will show it in a minute, and the reader will soon realize how important could be this minute.

If we accept that the measurements of the Pyramid are actually 440 and 280 cubits, we will have that the sinus of the base angle will be equal to

sin x = 280 : 356,08987629529711189093117562948 = 0,78631833882242264455410669697364

x = 51°,842773412630940423232561163187

If now we go and have a look at the cosine of this angle, we will have a very big surprise, in the moment that we discover that its inverse corresponds to the ratio between the area of the four faces with the one of the base

1/cos 51°,842773.. = 1/0,61782155193190350643536954.. = 1,6185903467968050540496871..

This kind of mathematical relationship seems to have something of miraculous, but we should have understand that the Big Pyramid has something to do with the same Idea of Symmetry only on the basis of the projection of the lines of its internal profile

As the measurements of the Big Pyramid, as we all know, are based on the Pythagoras’ number 22/7, now we get aware that this particularly proportion are capable to create a sort of super symmetrical solid, whose characteristics proportion are the mirror of the characteristics proportions of the universe, from the outer space where the galaxies are floating to the smallest particle that we are able to measure. Actually, we find the Pythagoras’ number 22/7 in the tangent of 51°,842773.. in this way

tg 51°,842773.. = 1,272727..

4 ∙ 1/tg 51°,842773.. = 4 ∙ 0,78571428571428.. = 3,142857142857.. = 22/7

From the inverse of the tangent of the Pyramid we can get a fair approximation of c = 2,9979246

√2inv. Ln 1/1,272727.. = √8,970787861.. = 2,995127353.. ≈ c = 2,9979246 (-0,002797246..

If now we calculate the 36 = 2187th root of the factorial of the inverse of the difference that we have registered above, we get another surprise. In fact, what comes out, it is a very good approximation of 2ħ2

2187√(1/0,002797246932277853..)! = 2,224031757699599.. ≈ 2ħ2 = 2,224242637165140768

So, the approximation of ħ that we can get is equally good

√(2,224031757699.. : 2) = √1,112015878849.. = 1,054521635.. ≈ ħ = 1,054571628..

5.

We could think that at this point we have already discovered a bunch of interesting things. But we are still at the beginning of what we can call the White Rabbit Hole.

In the French documentary “La Revelation des Pyramides” they speak about the relation from the measurement of the Pyramid expressed in meters and the speed of light. Making the difference between the perimeter of the circle inscribed in the base with the perimeter of the one that circumscribes it, he comes to the following result

The actual measurements of the four sides side of the Pyramid are those that we see below

If we suppose that in the measuring to the north-south side in west direction (that that in the imagine above is 230,391 meters) was made an error of about 1 cm, by means of the measurement of that side of the Pyramid we can get to the right value of the speed of light in millions of meters per second

[√(230,38092..2 ∙ 2) ∙ π] – (230,3092.. ∙ π) = 299,792458 = c

Curiously enough, if we take into consideration the perimeter of the circle that we can get from the side of 230,253 meters, and we suppose that another error of about 1 cm was made in the measuring, we have another, very big surprise. In fact, although with the rather strange method that we see below, we can get anew to the speed of light

Ln 1/{[2log (230,238620902.. ∙ π)] + [4Ln (230,238620902.. ∙ π)]} =

= Ln 1/[0,456263984400.. + (-0,456139023133..)] =

= Ln 1/1,2496126740618592424838029923842 ∙ 10-4 =

= Ln 8002,479654.. = 8,987506729.. ≈ c2 = 8,987551907..

Very near to this value we find the x capable to satisfy the equation that we see below

2log x + 4Ln x = 0

2log 722,848162.. + 4Ln 722,848162.. = 0

If we divide this number by πCheops we obtain a very interesting result, a sort of compound of the speed of light and the classic radius of the proton

722,848162.. : 3,142857.. = 229,9971424545454.. ≈ 227 + c = 229,9979246

√log 227 = √2,356025857.. = 1,534935.. ≈ rp = 1,535

6.

This relations between the constants of our science and fundamental numbers, as π and ɸ, could seem in this moment very strange to the reader. But this happens only because our culture have not prepared us to find them. Actually, one of the our more important cultural a priori is that everything that we can observe in the macroscopic as in the microscopic world is a product of chance. So, when we find relations as the one that we see below, we get very consternated. How can be that the characteristic numbers of the constant of the unitary charge (cu = 1,6022 ∙ 10-19 coulomb) and the one the classic diameter of the proton (dp = 3,07 ∙ 10-18) are connected in this way?

19683√(3/ɸ ∙ 10366) = 1,043778505054.. ≈ 2cu/dp = 3,2044/3,07 = 1,043778501628.. (-3,42.. ∙ 10-9

Incredibly as it could seem, also the exponent of the root, 39 = 19683 , have something to do with 3/ɸ. To get convinced of this it is sufficient to calculate the 24 = 16th root of it

16√19683 = 1,855157155.. ≈ 3/ɸ = 1,854101966.. (-0,00105518917398232344725793878634

Still more incredible seems to be the fact that the inverse of the difference that we have registered above is nothing but one of the experimentally possible values of the classic radius of the proton, raised to the 24 = 16th power

16√1/0,001055189173.. = 16√947,697365.. = 1,534764.. ≈ rp = 1,535

If we multiply it by 10, and then we calculate the 23 = 8th root, we get to a really good approximation of π

8√10/0,001055189173.. = 9476,973.. = 3,141114.. ≈ π = 3,141592653..

So now we get aware of a relation of the kind we see below

16√πCheops8/10 = 16√951,912.. = 1,535190.. ≈ rp = 1,535

But above we have seen that

(3/ɸ)(3/ɸ) = 3,141572.. ≈ π = 3,141592..

This almost perfect triangular connection between π, ɸ, and 3 now get us aware of the fact that

(16√3⁹)(¹⁶√3⁹) = 1,855157155..1,855157155.. = 3,146939.. ≈ 2 + Ln πCheops = 3,145132..

But, as we will go on in our analysis, we will get so used to this kind or connections, that at the end we will get amazed when we will not find them. In the next articles that will be published in this site we will get hundreds of these mathematical relations, in a great number of cases of an incredible dizzy kind, as the one that we can see below, between the two exponents of the operation that we have do above and the duration of a solar year (365,25 days)

tg 19683/366 = tg 53,778688524590.. = 1,365260.. ≈ 1 + 365,25/103 = 1,36525 (+0,00001..

Even more awesome is to us the relation between 366 and the characteristic number of the gravitational constant G = 6,672 ∙ 10-11: but the fact that it exist seems rather undeniable. Actually, we can reconstruct it from 366 with two strange but in a way very simple and linear operation. The first step is to calculate the decimal part

-(4log 366!) ∙ 2 = -(-0,336023..) ∙ 2 = 0,672046.. ≈ G – 6 = 0,672

To get to the integer part of the number it is sufficient to remember that an angle of 366° is the equivalent of an angle of 6°. Summing the result of this two operation we have that

6 + [-(4log 366!) ∙ 2] = 6 + 0,672046.. = 6,672046.. ≈ G = 6,672

At this point, maybe it is not a big surprise to discover that by means of 366 we can obtain the length of the base side of the Big Pyramid expressed in meters

(128√10366) : π = 723,394162.. : 3,141592653.. = 230,263513..

In this case too we discover that also the two exponents of the operation that we see above, that is 366 and 128, are very meaningful, because they are related to π and to the characteristic number of ħ and of h in the way that we see below

128√366 ∙ 3 = 1,047194122.. ∙ 3 = 3,141582367.. ≈ π = 3,141592653.. (-1,028.. ∙ 10-5

(366√128)4 = 1,013345175..4 = 1,054458803.. ≈ sin + cos + tg π/2 = 1,054458788.. ≈

≈ ħ = 1,054571688..

2Ln 366128 = 6,627428.. ≈ h = 6,626

(π⁵√128366 ∙ 2) : 102 = (331,303.. ∙ 2) : 102 = 662,607.. : 102 = 6,62607.. ≈ h = 6,626

By means of the ratio between 366! and 128! we can find again the value 1/ɸCheops and of the characteristic number of the unitary charge cu = 1,6022, even if multiplied by very big powers of 10

366! : (128!)2 = 0,61788272.. ∙ 10350 ≈ 1/ɸCheops ∙ 10350 = 0,617821552.. ∙ 10350

366! : (128!)3 = 1,602307.. ∙ 10134 ≈ cu ∙ 10134 = 1,6022 ∙ 10134

7.

Actually, the challenge of building a similar structure harmonic-scientific vision of the world and to encode it in a similar incredible sacred structure as the Big Pyramid is, must have required at least tens of thousands of years, if it was not a gift of God to the human beings, as with no irony Isaac Newton affirmed.

In fact its most unsettling and incredible aspect is that the intimate harmony of the universe that is mirrored in the mathematical code constituted by the decimal-metrical system, by the trigonometric one based on the 360 and by the astronomical one based on the solar day, can be known only starting by the code that is capable to mirror it. Read through another code it is inexorably lost. So a terrible, cryptic, abyssal question comes naturally: how could we establish this code, if the possibility of establishing it lies in the code itself? Those beings that have built it were men, gods or what, to get to such a high, deep, arduous objective to finally result even inconceivable?

We are not making a mountain out of a molehill. To get convinced of this, it is sufficient to note that many of the angles that we have taken into account, have also other peculiar characteristics, in addition to the ones that we have already analyzed. For example the angle of 81°,41765.. that has for tangent the constant of Planck actually in use (6,626) has also another interesting characteristic; if we calculate 1/x with the value of its sine e multiplying it by 16, we discover that the result that we obtain is equal to circa 10ɸ. E 16/10 = 1,6 corresponds in a rather good way to the ratio between the hundredths and the sixtieth of a degree (that, as we have seen, is in reality equal to 100/60 = 1,6666..), apart from the result of the ratio between two members of the Fibonacci series, 8/5 = 1,6, that, as we have seen in The Snefru Code part 3, it is at the base of the measurements of the Ark of the Covenant

1/sen 81°,417.. ∙ 16 = 1/0,988802.. ∙ 16 = 1,011324.. ∙ 16 = 16,1811.. ≈ 10ɸ = 16,1803..

If instead we go and have a look at the angle reciprocal to the one with the tangent equal to hPlanck = 6,55…, this is the one equal to 8°,68028.., also in this case we are about to discover a characteristic that , who knows, maybe at this point will no longer seem stronger. In fact calculating the sixteenth root (again exactly the 16!) of the value of the angle, we find a good approximation of π

16√8°,68028.. = 1,144612.. ≈ Ln π = 1,14472988..

The approximation of π that we obtain seems rather good

e1,144612.. = 3,1412.. ≈ π = 3,1415..

And what should we think when we realize that calculating the natural logarithm of 6,55 and dividing it by 3, we obtain a number equal to the constant of Planck actually in use, minus 6? in fact

Ln 6,55 : 3 = 1,879465.. : 3 = 0,626488.. ≈ h – 6 = 6,626 – 6 = 0,626

8.

In The Snefru Code part 3 and part 7 we have largely seen how in the past of humanity they have used that trigonometry that we believe to be of Babylonian origin to codify scientific data of every sort. For example, we have realized that summing sine, cosine and tangent equal to π/2 we obtained a very good approximation to the constant of Dirac. It is an example that we have seen above, but that maybe it is good to see again

sen + cos + tg π/2 = 0,027412.. + 0,999624.. + 0,027422.. = 1,054469.. ≈ ħ = 1,054571.. (-0,000102)

Above we have also seen that using the constant to switch from the hundredths of a degree to the sixtieth of a degree, we can pass from ɸ2 to a really good approximation of π/2.

This means that even in this case we find a sort of “trigonometric chain” that goes from ħ to ɸ2 passing through π/2. On the other hand, we have well seen that with 4ɸCheops we can trace back the tangent of an angle that in turn results connected to those who have as a tangent 6,626 and 6,55. Moreover, as we all know 6,626/2π = 1,054571.. = ħ. But we have seen that

14√(π ∙ 1011) = 6,6255966..

So

14√(π ∙ 1011) : 2π = ħ

In turn, the fundamental unity of trigonometry, this is the round angle of 360 degrees – can be obtained through one of the numbers that we need as key to code scientific data, this is π. Calculating two times the inverse of the natural logarithm of the root of π we obtain

2inv. Ln. √π = 359,70248169268827148947907603052

Calculating for two times, the inverse of the natural logarithm of the root of πCheops we get to

2inv. Ln. √πCheope = 360,45846169895552941793596460418

The average of these two values is 360,0804.. Let’s notice also that the value derived from √π is really close to the one that we can derive from the average of the duration of the solar year and the one of the lunar phases, given that

(365,25 + 354,36) : 2 = 359,805 ≈ 2inv. Ln. √π = 359,7024

But apart from those that we have analyzed here, as in The Snefru Code part 3 and part 7 – the trigonometry that we believe to be of Babylonian origin, and that instead with clear evidence, has enormously more ancient origins, has also other aspects that seem really unsettling, if not completely incredible. In them it remains the trace of an apparently inhuman knowledge.

For example, the angles that have a tangent correspondent to an integer, seem to possess general proprieties, that united to unique and particular characteristics, make possible the constitution of a system structured in such a way to enclose in the same theoretical circle: geometry, physics and numerology.

As a start, all the angles that have an integer as a tangent, have a cosine equal to 1 on the root of the integer that results from the tangent raised to the square, plus 1. This means, for example that the angle with a tangent equal to 2 (63°,4349..) has a cosine equal to 1/√5

tg x = 2

x = 63°,434948822922010648427806279547

cos 63°,4349.. = 0,44721359549995793928183473374626

(1/0,44721359549995793928183473374626) = 2,2360679774997896964091736687313 =

= √[1 + (tg 63°,4349..)2] = √(1 + 22) = √5

Another thing that seems to characterize all the angles that have a tangent equal to an integer is that doing (sine + cosine) : cosine, we obtain the closest integer to the one that defines the tangent. This obviously means that calculating (sine – cosine): cosine, we obtain the precedent one. For example, if we do the sum of sine and cosine of the angle that has 9 has tangent (83°659..) we notice that the sum of sine and cosine is equal to 10 times the cosine. If we calculate (sine – cosine) : cosine, we obtain a result equal to 8. If we make sine : cosine we obtain 9, that is the value of the tangent. In this way we can obtain through a trigonometric method, a great number of characteristic fractions (3/4 and 4/3, 4/5 and 5/4, etc), in addition to, of course, the succession of integers.

9.

But these angles have also very specific characteristics that result of a great scientific interest. Of the one that has the tangent equal to 1 (45°), we all know everything. But if we take the sum of sine and cosine of the angle that has the tangent equal to 2 (63°,4349..) we see that it Is equal to

0,44721359.. + 0,89442719.. = 1,34164078..

This is a number a bit strange, because if raised to the square, gives us exactly the result of 1,8 (that is 2 – 2/10). If raised to the cube, gives us the result of 2,414953.. If we take this number, and we subtract 1 from it, and then we raise it again to the square, we get really close to the starting value, this is the tangent equal to 2, given that

(2,414953.. – 1)2 = 2,002093..

From this result we can get to a very good approximation of π by a sequence of natural logarithms

3inv. Ln -(2,414953.. – 1)2 = 3inv. Ln -2,002093.. = 3,141174.. ≈ π = 3,141592..

But we can make a little variation to the operation we have seen above. If we take the sum of sine and cosine of 63°,4394.. and instead of raising it to the cube, we raise to c = 2,9979246, and then we repeat the operation (this is that we subtract 1 and we raise the result to the square) we obtain such a result that makes one hold its breath, given that

(1,34164..2,9979246 – 1)2 = 1,9979281.. ≈ c – 1 = 1,9979246

This relation seems to really have something strange, magical we would say. And this feeling can only rise when we observe that also other angles that have as a tangent some whole integers, seem to have rather particular characteristic. For example, from the angle that has the tangent equal to 4 (75°,9637… ) we can obtain the ratio between the number of days of the solar year and the one of the lunar phases (365,25 : 354,36 = 1,03076) simply calculating the inverse of its sine, given that

1/sen 75°,9637… = 1/0,97014250014533189407562584.. = 1,030776406404415137455352463..

And above, and in The Snefru Code part 3 and part 7, we have noticed that a result very similar to this characterized the ratio between 2ɸ e π, as much as the ratio between mass and classical radius of the proton, given that

2ɸ/π = 1,03007.. ≈ 365,25 : 354,36 = 1,03076

3√mp/rp = 3√1,6725/1,535 = 3√1,089576.. = 1,029009.. ≈ 365,25 : 354,36 = 1,03076..

As we are analyzing an harmonic system, it is maybe interesting to note that if we make mp/rp including the powers of 10, we discover that the 243th root of the inverse of the result, corresponds in a rather good way to mp/rp excluded the power of 10

mp/rp = 1,6725 ∙ 10-27/1,535 ∙ 10-18 = 1,0895765472312703583061889250814 ∙10-9

243√1/(1,089576547231 ∙10-9) = 1,08863855960..

Actually, the x capable to satisfy the equation is that that we see below, very near to the actual value of mp/rp that we have calculated.

243√1/(x ∙109) = x = 1,088642402..

Considering that the values of the atomic constant have a range of variation due to the uncertainty principle, we can “stress” a little mp and rp so to obtain the above x, remaining also into the range of experimental possible values. For instance

1,6724 ∙ 10-27/1,536225299.. ∙ 10-18 = 1,088642402.. ∙109

Another interesting angle, is the one that has 3 as tangent (71°,565..), given that its cosine is equal to √10/10. Or the one that has 7 as tangent (81°,869..) that has the cosine that is equal to √2/10. The sine is nearly as interesting, as it corresponds to

0,9899494936.. ≈ π2/10 = 9,869604401..

Solving the equation, the approximation of π that we obtain is rather good given that

√(0,989949493.. ∙ 10) = √9,89949493.. = 3,1463.. ≈ π = 3,1415..

It is possible that this angle, thanks to the characteristic number of its tangent, has some ties with the one that has 6 as a tangent (80°,537..) and, through this, also with ɸ, let’s see why.

If we calculate the sum of sine, cosine and tangent of 80°,537.. we obtain a result equal to 7,1507.. (so very close to 7 + 1/7). This number divided by 72 (that’s to say with the squared tangent of the angle of 81°,869..) leads us again to ɸ, given that

7,1507929.. : 72 = 0,14593.. ≈ 1/ɸ4 = 0,145898 (+ 0,000032) ≈ (7 + 1/7) : 72 = 0,14577..

So it really seems that there is a numerological bound between the angle that has 6 as a tangent, and 7 as an integer . A bond that passes through ɸ and therefore also through the angle that has 7 as a tangent.

A fact like this can be very important to understand why, for example, in the tale of the Bible it is said that God created the world in 6 days and that he rested on the 7th. This seems a clear allusion to the fact that in Ancient Testament, a text that we judge incomprehensible because primitive, a very advanced type of mathematics and physics could have instead been encrypted in. Something of which we had found other very clear clues and that we will expose also in the last part of this article (after having already seen in The Snefru Code part 3 and part 7, the deep bond between the measures of the Ark of Covenants and very sophisticated scientific concepts. But also these trigonometric-numerological characteristics of the integers, that often appear in the Ancient Testament as well as in many other sacred texts of humanity, seem to give some very clear indications.

For example, also the angle that has 9 as a tangent (83°,6598..) has some characteristics that seem scientifically significant, because if we calculate the sum of sine and cosine we see that this number is really close to h/6

sen. 83°,6598.. + cos. 83°,6598.. = 0,993883.. + 0,110431.. = 1,104315.. ≈ h/6 = 6,626/6 = 1,104333..

10.

Really, with any kind of good will, it is difficult, not to say completely impossible to hypothesize that such kind of things could be the result of chance.

Instead, these evidences force us to hypothesize that who has built the sexagesimal based trigonometry, has done it in such a way that it could create that harmonic ratio, between the constant of Plank measured by the same Planck, the one that is still in use today, and also with the speed of light measured as well with the metrical-decimal system, that is really a kind of miracle. Therefore, the people that have invented sexagesimal based trigonometry knew also the joule and the erg as a unity of measure, as well as the constant of Planck and the whole of our most advanced empiric science.

This in turn seems an incontestable and definitive proof that all those hermetic traditions, until know judges at the same level of science-fiction inventions, that talk of an Ancient Egyptian knowledge that has passed on the Western culture and fixed in the architectonic buildings, are real.

We had already seen a first very important clue in the inclination of the alignment of St. Michael that seems to coincide with the one of the Chamber of the Queen, as we can see from the below pictures

Very significantly we find this same typical angle in two very famous painting that have been realized in relatively recent time, that have as a subject, the spear of Longino, that with every probability, had an astronomic meaning also in the myth. It probably represented the Earth’s axis that “wounds” the polar star to which it points, as in the ancient times the polar axis intended as a divinity, was connected with the sign of the zodiac in which the sun was rising at the vernal equinox. And, as at the beginning of the Christian Era the sun was entering sign Pisces, Christ was associated to Pisces and, this way, with the polar axis and the polar star (see de Santillana e von Dechend, Hamlet Mill)

But this is nothing, if compared with the fact that we can find clear traces of the same proportions of the Big Pyramid – and so of those of the hydrogen atom – in the Gothic architecture. Let’s star our visual analysis with a gothic portal

The geometric rhythm of the gothic portal, as we all expect, it is the same of the totality of the structure of the gothic cathedral, from whatever perspective we watch at it: façade, plan or profile seems to share the similar proportions, the similar geometric rhythm that we have found in the hydrogen atom and in the Ancient Egyptian sacred architecture

This is not the main purpose of this work, but, anyway, it seems a very important confirmation of the antiquity of the science encrypted in the Big Pyramid the fact that the same proportions of the hydrogen atom and so of the Solar System and of the Pyramid itself appear to be at the basis of the sacred architecture of the Far East

11.

The alignments, as indeed the paintings and the geometric rhythm of the gothic architecture, seem to constitute very important clues, not to say almost undeniable proofs, of the effective presence of an Ancient Egyptian hermetic tradition in painting, architecture and therefore also in the western sacred geometry. A tradition that has arrived up to our days through masonry (which symbols are in fact the ruler and the compass, that in turn are the symbols of the Euclidean -Pythagorean). But this is not enough.

In fact those alignments that we have seen, constitute also a clue of very advanced techniques that deal with cartography. To realize an alignment like the one that goes from the South of England up to Palestine, that covers thousands of kilometers with gaps of even hundreds of kilometers, requires to the architects the knowledge of very detailed and precise geographical maps, of which official historiography absolutely excludes the presence during the Middle Age times up to very recent times.

On the other hand, the objective presence of these alignments contests the statements of official historiography. Anyhow they seem to prove, in an apparently undeniable way, that the original from which the Arab admiral Piri Reis traced its well known map, just as well as all the others that bear “anachronistic knowledges” because ahead of many centuries, effectually date back to many thousands of years before Christ, this is at the time in which Antarctica was not covered by ice.

12.

The effective hermetic presence of the Ancient Egyptian knowledge in our culture, leads us to hypothesize that the introduction of the meter in the course of the French Revolution was not a chance. The people that took advantage of this occasion to change official metrology and introduce the new system, are probably the heirs of those architects (or “masons”) that, convinced of following the mathematical methods with which God (or the Demur) has created the world, have built the system of alignments that we see in the above pictures. The angle used by them, seem to lead us not only to Ancient Egypt, but also to a Cosmic cycle and therefore to a fundamental unities of time (the precessional cycle) and, above all, to an even more fundamental geometrical-scientific constant, the golden number.

If this is true, then we must conclude that from what we call “Ancient Egypt” until Middle Age there has been an esoteric transmission of mathematical and geometrical knowledges that were believed to be sacred, that were not the common heritage of the intellectual caste of the time.

We say that the anonymous architects that oriented these sacred buildings, were monks. But, certainly the Church as a whole, was not aware that inside it there was an hermetic movement, that in great secret passed on knowledges that came from Ancient Egypt(maybe passing through the Old Testament inheritance). t is not to be excluded that a part of this inheritance could have come really from those Hebrews that already at the time of Paul’s preaching, were spread throughout the Roman Empire. Maybe some of them have passed on to the new-born Christianity some notions of geometry that the people of Israel learnt at the time in which they lived in Egypt.

Another very known historic clue of this hermetic tradition, it is the fact that at the Crusades time, it had been created a fighting religious order, the Templar Knights, that with the pretext of defending the pilgrims that went in the Holy Land, went to Jerusalem. But, from what we can understand, at least at the beginning the founders of this order were not minimally worried of carrying on the task that they had assigned to themselves. On the contrary, it seems certain that the first 9 Templar Knights that arrived in the Holy Land, have even enclosed themselves for years in a palace near the hill where the Temple of Salomon had been erected, without practically never going out.

Not having other answers, many historians have hypothesized that this sort of voluntary reclusion, was the occasion to do some excavations to look for the Ark of Alliance, lost at the time of the deportation in Babylonia. This would be another proof that already at the time of the Crusades, in the West there were rumors concerning this occult knowledge-power, founded on the sacred geometry, which secret was enclosed in the Ark (at the time we hadn’t understood that the Ark as an object probably didn’t mean nothing, and that its secret was enclosed in its measures, has we have seen in The Snefru Code part 3 e part 7).

13.

If it really was the French masonry the heir of the Templar Knigths, to take advantage of the Revolution to introduce the meter as official unity of measure, there’s no reason to exclude that Napoleon’s expedition in Egypt had probably a similar aim to the one of the first Templar Knights that went to Palestine. With the pretext of war declared to the English and maybe really under advice of that masonry that had imposed the decimal-metrical system – Napoleon wanted maybe to take possession of the Hermetic Ancient Egyptian secrets.

Usually, in the books of history, we read that the reason why Napoleon went to Egypt, was the war against the English, and that the academics that he brought with him to study the Pyramids and the Ancient Egyptian culture were only a sort of cultural decoration, maybe elegant, but completely superfluous in a venture that had completely different aims. But according to what we have seen up to now, it is complexly plausible to hypothesize that the contrary was true: that is that the military venture was the necessary means to the cultural expedition, that then revealed itself nearly completely disastrous. The French academics were not able to appreciate the scientific doctrines encrypted in the sacred Ancient Egyptian art. Actually, it is not clear if also with the modern means, we will be able to completely reveal the secret of this extraordinary knowledge, to which Saint Stephen, the first Christian martin, attributed Moses’ powers in its talk in front of the Sanhedrin.

Actually, the only noteworthy result of Napoleon’s expedition, was the revive of the interest for Egyptology and not much more. We say that it was thanks to Napoleon if Champollion has found the way of decoding the Ancient Egyptian hieroglyphics. But, said so, it seems a completely falsification of the facts. Champollion, in hindsight, has not at all decoded the hieroglyphic writing.

He only found the way to access to a first meaningful level, that evidently is the most banal one (admitting that it doesn’t reveal even misleading. Can we really believe that a so complicated symbolic work can be useful only to fix in a sign the sound of a consonant?

14.

Just to cite an example, the God Ptah is represented in the hieroglyphics as a deified human being during the act of separating the Sky from Earth: this was exactly the function that the Ancient Egyptian myth attributed him. But, with every probability, this Ancient Egyptian God and the hieroglyphic related to it, represent also something as a deified physical force. Maybe it represents the space that, as we have seen in The Snefru Code part 7 and part 3, can be imagined as a force that opposes to the force of gravity and to magnetism.

But we cannot reach notions of this only studying the hieroglyphic only as a way to fix sounds in a written form. Here it would be necessary a more complex work of decoding in which the geometrical-mathematical analysis of the same hieroglyphic should have a fundamental part . This is suggested by the fact that the sacred Ancient Egyptian architectonic language demonstrates us that at that times we possessed scientific-mathematical knowledges that for some aspects seemed much more advanced than ours.

Just to cite an example, let’s remember that the magnetic charge of an electron expresses a force equal to 4,17 ∙ 10-42 compared to the one of its gravitational field, and that its mass is equal to circa 1/1835,791 the one of the proton (and let’s remember that the characteristic number of the constant of the mass of the proton can be calculated with an excellent approximation with ħ + 1/ɸ = 1,6726, so that mp – ħ ≈1/ɸ). Calculating x = 4,17/1836 and then making 1/x we obtain 440,28.., that numerologically corresponds in a nearly perfect way to the length of the side of the Great Pyramid expressed in cubits. But also we cannot achieve to a relation of this kind only studying the Pyramid as a sort of gigantic gravestone put there just to bury a Pharaoh.

In the same way we can achieve to understand the scientific meaning of the ancient calendars and of the astronomic code discovered by de Santillana and von Dechend into the myth. In this sense, it seems noteworthy the fact that we can obtain an excellent approximation to the value of the characteristic number of the same constant we have seen above in a cosmological way, calculating the cubic root of the duration of the precessional day expressed in solar years (26000 : 360 = 72,222..), given that

3√72,2222 = 4,16444..

If instead we divide 1835,791 by one of the two typical numbers of the cycle of the Dog-star and then we square the result and we multiply it by two, we see that

(1835,791 : 1460)2 ∙ 2 = 1,25653…2 ∙ 2 = 3,162064736.. ≈ √10 = 3,162277..

Being close to the root of 10 the result is therefore very similar also the product of ħ multiplied by the constant from which we obtain the speed of light, as

ħ ∙ c = 3,1615262260432488.. ≈ √10 = 3,162277..

This inter alia means that there is a deep connection between √10/3, two of the fundamental numbers of the Mayan calendar Haab’ (20 and 18), and ħ, as

√(20/18) = √1,111111.. = 1,054092.. = √10/3 ≈ ħ = 1,054571..

The knowledge included in the hieroglyphics is therefore, with every probability, enormously more complex and deep than the one discovered by Champollion. The real work of decoding, has probably still to start.

Forth part :

THE EXPLORATION OF THE NOT VISIBLE PARTS OF THE GREAT PYRAMID

1.

Now that we have seen how those that have been considered only legends, correspond instead to historical truth, we can try and demonstrate that what until now has been considered the historical truth of the exploration of the Great Pyramid, is nothing more than a legend, or better: a fabrication built to hide truth.

Our thesis is radical. We affirm that when John Taylor, Piazzi Smyth, Davison, the Waynman brothers and John Dixon went to Giza, they already knew the disposition of the not visible structures of the Great Pyramid. Moreover, they were aware of the astronomical meaning of the geometry of the structure, even if in an evidently distorted way.

Piazzi Smyth, in particular, was a supporter of the thesis of Robert Menzies, that the Great Pyramid contained encrypted in its measures the prophecies related to the Second Coming of Christ. Also from this fact, it seems that we can deduct that both Piazzi Smyth and Menzies were aware of the hermetic thesis (that emerges in the Gospel tale of the escape in Egypt) that Christ was a sort of successor of Osiris (the scene of the Resurrection that we find in the Gospel of Mathew, is the one that is represented in an architectonic way in the Chamber of the King, as we have shown in The Snefru Code part. 7).

The episodes that we are about to analyze are the key to comprehend how important notions concerning the internal structure of the Pyramid, were preserved in the English Masonry. In this sense, the story of the “discovery” of the so-called “ventilation shafts” of the Chamber of the King are really exemplary and instructive, and maybe it is convenient to analyze it for first.

2.

At the time in which they were discovered, we believed that those that we saw in the Chamber of the King were “ventilation shafts”. This seems a rather absurd idea in itself, as no architect, as crazy as he could be, would face the enormous difficulties implied in the construction of the incredibly complicated structure that we see in the below imagines just to ventilate a chamber for the time necessary to finish its internal part

Anyway, this perfect nonsense was the theory adopted at that time, to explain the function of the Chamber of the King shafts. Therefore, we have to hypothesize that this was also what the English explorers that went to search the equivalent in the Chamber of the Queen believed. And here rises the problem of explaining how is that someone could have thought a so crazy idea. The only doubt that we could have, is this one: who are more crazy, the people who built some ventilation shafts sealing them since the beginning, or people who go and search for them?

Let’s consider that the walls of the Chamber of the Queen didn’t present at the time of the exploration any kind of hole. This is clearly ascertained also by two conventional Egyptologists as Ian Lawton and Chris Ogilvie-Herald:

(..) the theory of the ventilation shafts as means of ventilations, fails when we want to apply it to the ones found in the Chamber of the Queen. Originally these two other holes, were blocked at the inferior end that goes into the room with fix blocks of fifteen centimeter thick rock.

The stones that are there just like in every internal part of the Great Pyramid, are stuck to each other in a way that made impossible to insert between them even a needle. So: how is that Waynman Dixon – an engineer! – could have come to mind the absurd hypothesis that ventilation shafts, that as their definition states should be open, could be placed there but blocked since the beginning? However this is the way in which they justified to the world their researches.

In 1872 the two Waynman brothers and John Dixon, arrived to the Giza Plateau with the intention of exploring the Great Pyramid. The first graduate in Engineer, was fascinated by the ventilation shafts of the Chamber of the King, he was convinced that identical structures could be found also in the Chamber of the Queen. One day, while he was in the Chamber, one of his partners, a certain doctor Grant, noticed a small hole in the Southern wall, circa in the same point (..) in which in the Chamber of the King there was the shaft. Dixon, excited, introduced a , rigid wire in the hole, and because he realized that on the other part he felt no resistance, he immediately ordered to the factotum Bill Grundy to work with mallet and chisel. After a while, the chisel broke the stone and there was an opening. Right away they understood that it was a ventilation shaft: again 52 cmq of section, again 1,80 m horizontally to then disappear towards the height inside the heart of the Pyramid, with an inclination of 30 degrees.

We must notice here that the two authors didn’t understand the obvious numerological meaning of the measures that themselves in person provided. 52 cmq of section multiplied by 180 of length give us a volume of 9360, that corresponds to 26 times a “pure” solar year of 360 days, with the 26 that contains a clear allusion to the precessional cycle (26000 years of 360 days each, formed by a total of 9360000 days).

But, apart from this, we must consider that at the time there was no possibility to enlighten the rooms with electrical lights. To individuate a small hole in a space that, lighted by the weak light of the torch, presumably it soon filled it up with smoke, must have not been so easy. And in effect, from the notes taken by Piazzi Smyth, he said from what Dixon told him, the reason why this hole was discovered, it was that it had been searched for in the right place. That is more or less on the perpendicular of the “ventilation shafts” of the Chamber of the King.

This is another enigmatic aspect of the historical issue. Why the ventilation shafts could not be found, for example, in an upward corner ? What need should there be for a ventilation shaft, sealed from the beginning, to possess architectonic symmetry?

In hindsight, sealed ventilation shafts are logical as burst buckets. Yet, Waynman Dixon was so certain of finding them that not only he went to look for them, but he even took with him a workmen with mallet and chisel to open them: where did the certainty of needing a help come from?

No person with wit could have any doubts: if an engineer has operated in the way that Dixon did, this means that he knew that the channels were there. The fact that then, after “discovering” them, he even checked if they contained anything, shows that he also knew that there was something to search. If he really believed that they were “ventilation shafts”, a lie that only a stupid and/or completely ignorant people of building ventilation-technology can believe, why he thought that its builders, after having sealed the, had even stuffed them with bulky objects, that had nothing to do with their function?

And instead, at the opposite of every kind of logic, not only Dixon went to explore the “ventilation shafts” with a clever articulated rod, but he found also something: a stone sphere, a sort of double copper hook, and a piece of wood, that has been mysteriously lost. That’s a shame, because it was the only one of the three findings that could be dated with the Carbon 14.

We ask ourselves if this was really the reason why it had been lost: because one of the last secret that the English Masonry still preserves for itself only, this is the real age of the Pyramids, is still a secret.

3.

But, apart from the one that we have told now, the whole story of the “discoveries” of the not visible structures of the Great Pyramid is full of oddities. Or, to be more precise, of such incredible details, that we ask ourselves why until now they have been taken seriously without stopping to think a while.

As a source to our analysis we have used “The Code of Giza” written by Ian Lawton and Chris Ogilvie-Herald. This is a source that should seem particularly reliable to conventional archaeologists, because the two authors have written the book exactly to defend the so-called “orthodox” thesis. And within the “orthodox” thesis that we want to defend, there is also the one that wants to exclude at all costs the fact that European masonry and in particular the English one, was depositary of an hermetic tradition coming from Ancient Egypt.

As for the discovery of the first of the Upper Chamber of the Chamber of the King by Nathaniel Davison, the two authors write

“In 1765 Nathaniel Davison – that would have then become, general British consul in Algeria, while he was on holiday in Egypt, he decided to visit the Great Pyramid. Contrary to the researches that had preceded him, he didn’t left precise notes, anyhow he was the protagonist of some important discoveries. When he overcame the obstacle of bats, Davison helped by his assistants, decided to carry on through the tunnel that took Greaves to the small cave. After a path of circa 30 m, he had to stop, he couldn’t carry on because of the obstruction of the channel.

This “small cave” to which the authors refer, is that sort of recess that is situated in the tunnel that unites the rising channel with the descendent one, at the height of the small stone hill incorporated in the structure. The one that is indicated below by an arrow.

Annoyed, he then decided to discover other still unexplored structures. According to Tompkins’ tale, it happened that while he was inside the Great Gallery, Davison would have realized that an echo of his voice came from up above. Using a big quantity of big candles tied to high poles, it was possible for him to see on the Western wall a small opening no more than 60 cm wide, just under the blocks that constituted the ceiling. Thanks to a series of stuck stairs, Davison was able to climb high up, above the abyss of the Great Gallery.

What Davison had individuate, was the original channel of link between the Great Gallery and the first of the Upper Chambers (to arrive to the others, Vyse had to use dynamite) that in the below photo is indicated by a red arrow.

That this tale is nothing more than a distortion of reality, can be understood by the fact that Davison, disappointed by having found the linking shaft blocked, had decided to “discover other still unexplored structures”. How could he know that there were other unexplored structures? At the limit, Davison could have decided to accurately explore the monument hoping to discover unexplored structures. How could he be certain from the start that these structures existed?

4.

Here we can imagine that in bringing back the script of Tompkins, the two authors have did some mistakes, or that the translation from English to Italian is not so accurate, or that maybe Tompkins in person couldn’t express himself well. But the following of the tale of this “discovery” leaves little doubts: with every evidence, Davison knew very well what to look for and where. It is said in fact, that he focus his attention on the last part of the upper of the Great Gallery (more than 40 m long and more than 8 high!) because “he would have realized that the echo came from up above”(!?).

Here we don’t really understand the link between the perception of the echo and what it comes after that, given that in a space like the Great Gallery, the echo could come and propagate from everywhere, including the Descending Corridor.

Anyhow, admitting that it was possible to realize that the echo came from up above, it is still not clear the fact how Davison could link such a vague phenomenon to a 60cm wide tunnel, that was situated in the most improbable place of the world. Moreover, this tunnel, as later on will be explained, was half blocked by its height (and so also for half of its surface) by the guano of bats that tends to absorb the echo.

“Here, nearly dangling, he understood that the unknown entrance was blocked, at least for half its height, by the bats guano. Careless he decided to force the passageway and he got inside the tunnel, through which he had the courage to venture for more than 7m, with only a tissue pressed to his nose to endure the terrible smell. The reward to his courage, was to end in the North-East wall of a room, too small to be able to stand up”.

This person, that we must remember, was in Egypt for a holiday, embarks such an adventure, because in a gigantic structure as the Great Gallery, he hears an echo that comes from up above, and then he discovers that it is a very narrow tunnel, half blocked by the bats guano! The most stupefying aspect of this lie, is not much the fact that we could intent it and tell it, but that we have found so many people willing to take it seriously.

There is no need to all to be an engineer to know that tunnels of so small dimensions and in addition blocked by the guano, don’t send back any echo. Admitting that a kind of echo could be perceived, we don’t understand how it could come to one’s mind to locate it in the most improbable point of an enormous and dark space as the Great Gallery. With difficulty we can believe that a person endowed with the slightest wit could believe such an absurd thing, except than if to promote the faith in it are the same reasons that had convinced a well known Italian ex Prime Minister that a certain lady was Mubarak’s granddaughter. Here is completely clear that Davison did know what he was looking for, and that he went in Egypt not for a holiday, but to “discover” instead, that tunnel.

5.

In hindsight, the tale of Lawton and Ogilvie-Herald doesn’t leave many doubts concerning the fact that there were parts of the English masonry that were aware of Ancient-Egyptian hermetic traditions. They knew that the Great Pyramid had been built in such a way, to preserve in a mathematical code various knowledges (something of which even the Coptic tradition was aware). Therefore, presumably, they had to know also what parts of the structure were hidden.

In effect, the fact that the access to the Upper Chambers was situated at the top of the Great Gallery, and was of so reduced dimensions, is something that has no practical sense. Therefore, we couldn’t even deduce it starting from its presumed “function”. In hindsight, what was the use of that passage? Why did the builders, provided that they had used it for some reparation or to redefine the building of the Upper Chambers, haven’t sealed it completely? Here we can’t really understand how Davison could have imagine such a thing starting from technical knowledge.

On the contrary, these tales, with every evidence are so false and badly constructed, that make reality leak through. That is that the English people that succeed to each other, were people who knew how and what to look for, even if maybe didn’t have a clear idea of the meaning of those notions that somehow reached them. For example, it could be that Davison was greatly disappointed by the fact that the first of the Upper Chambers( that was entitled after him, because it is usually called Davison Chamber), was apparently completely empty. Maybe, what he knew, was that it contained some secrets, and him as a good modern western person, believed to certainly find hieroglyphics, papyrus, or anyhow written documents. And instead he only found a low roof and a disconnected pavement, that however, as we have demonstrated in The Snefru Code part 7, contains important physical information codified at a purely geometrical level, as for the rest happens with the rest of the structure. We can see again the images that we have already shown on that occasion

6.

Clues that the English masonry knew many things regarding the hidden structures of the Pyramids, come from the fact that in many cases the astronomers where the ones who dealt with them. Regardless of what the those astronomers have discovered, or what they had believed to discover, here we must notice that we don’t understand at all the reason for which it had to be precisely an astronomer to deal with a tomb, if not for just an hobby. And instead these people went there hoping to find some facts connected with their science.

The first explorer mentioned by Lawton and Ogilvie-Herald is a certain Greaves, that went there in 1638: this man was an astronomer just like Newton, that in that period was deeply interested in the measures of the Great Pyramid, hoping to obtain from it the measures of Earth. Of this character, the authors say

“Like many other freethinkers before him, even Greaves thought what authors like Ptolemy and Pythagoras and the others of the classical school had already more than once testified, with a more or less height degree of honesty, this is that a great part of their knowledge was based on ancient traditions, coming from Egypt and Mesopotamia”.

Here we don’t understand why this statement of the classical authors could or should be influenced by a “more or less high degree of honesty”. An author as Pythagoras, admitting that he ever existed, had no interest in testifying that his knowledge came from the hermetic Egyptian tradition. In Greece at that time, there was not the fashion of Ancient Egypt like there is nowadays. On the contrary, the Pythagorean school went through some very serious troubles because of its doctrines, just the same that happened during the Christian period to whoever carried on theories that came from the pagan world. So we don’t really understand in what sense it was useful to these authors and to their followers to state to have derived their knowledge from Ancient Egypt. If they say that, we have every reason to believe them, and no reason to doubt it.

7.

There is a legend linked to Pythagoras, and to the part of his doctrines that passed to the outer world not connected to his school. Still today, there is the idea that his fundamental doctrine was that “everything is a (rational) number”. But with every probability, this legend was not spread to pass on a truth professed by the Pythagorean school. It had instead all the looks of a distortion that the Pythagoreans, that had brought in the Classical Greek world the hermetic Ancient Egyptian knowledge, had evidently carefully spread around, to hide what was their real doctrine: that is that all happens in the universe is caused and produced by π and ɸ, that is by two irrational numbers par excellence.

The legend to which we refer, is the one that tells that Pythagoras’ disciple that discovered the irrational numbers, was drowned, for having in this way destroyed the basis of their doctrine. But this legend very probably hides a truth, in the sense that it is easy that a scholar of the school, that like the other scholars didn’t have to reveal the teachings that he received to the outside world, could have been punished for having revealed what was the actual doctrine that really was thought in the context of Pythagoreanism: this is that were π and ɸ that shaped the world.

The doctrine that “everything is a rational number”, was evidently a folly that was told to prevent the real substance of their thought (that thought in a Classical Greek context, was really dangerous, as a Pythagorean even if a bit particular, as Socrates was, realized: in fact, this religious conception denied the substantial reality of the various goddesses, a dogma that was vital to the Classical Greek idea of the divine world).

8.

In conclusion, it seems that we can say that all the evidences that we have collected, show that English and French masonry had inherited some hermetic traditions, however contaminated by distortions of various kind. The classic example is the one of Piazzi Smyth that has been more than once mocked as a sort of prince of the Pyramid-idiots. In this regard, without any attempt to hide their irony, Lawton and Ogilvie-Herald write that

“Except for some tales of the Arab tradition, the only “illustrious representative” of the many academics to be considered as belonging to the alternative field, is Smyth, with what we have valued one of the most extravagant theories: the Great Pyramid as a temporal scale of the scan of biblical facts”.

In practice, Smyth’s idea was that the Pyramid contained encoded the date of all those facts that were told in the Bible. Lawton and Ogilvie-Herald don’t hesitate in condemning this professor with so unconventional ideas, pointing out that even at his time, in the scientific community we could find no one that was willing to take him seriously.

“Among his (of Smyth) contemporaries reluctant to accept anything else than hypothesis aligned to the more traditional and classical ones concerning the evolution of knowledge, he arose a great skepticism regarding his research; a behaviour that was even more reinforced by a strong religious feeling that made Smyth tell that that knowledge (that is the knowledge of the Biblical events) was donated to certain Ancient Egyptians by the Great Creator of every Wisdom, something that reserved him an even greater mockery than the one already reserved some time ago to Taylor and his theories.

In addition, Smyth’s position wasn’t of course reinforced by his friendship with another character captured by religious zeal, a certain Robert Menzies, one of the firsts to affirm that the project and the dimensions of the passages and of the spaces inside the Pyramid, had been elaborated to hide a sort of “calendar” of the Biblical prophecies regarding all the major events of history of men, including the “second coming”. A theory that, moreover, had many supporters even in the Arab world”.

Here it could be that if Lawton and Ogilvie-Herald had counted up to one-hundred before condemning Piazzi Smyth they would have had the time to comprehend that the original meaning of the esoteric doctrine that was going round in the English masonry had an astronomical meaning. A relevant part of the Piazzi’s theory was that “the project and the dimensions of the passages and the internal spaces of the Great Pyramid had been expressly elaborated to hide a sort of “calendar”. This, more than a probable fact, seems actually absolutely certain: the only thing is that it wasn’t about the “Biblical prophecies” intended as unique and unrepeatable historical events, this is a concept as much unknown to the Israelites than to the Ancient Egyptians. The “prophecies” that the Great Pyramid and the complex of Giza contain, apply to the changing of certain celestial configurations that for them, that professed one of the many religions of the eternal come-back that existed in the past of humanity, were enormously much more significant than any historical unique and unrepeatable event that a modern Western historian could ever imagine.

9.

In The Snefru Code part. 5 we have seen how the orientation of the Stellar Shaft is not linking to a particular date, unique and unrepeatable, but instead to the golden section of the path of the rise and descent that Orion and other important stars of the Ancient Egyptian religion, fulfill on the horizon of Giza during the half of a precessional cycle ( this is every 13000 years circa). It can be, and from our point of view it is completely certain, that also the rest of the structures has been projected in such a way to describe with a geometrical-mathematical code comprehensible only to the disciples the succession of certain celestial configurations. But at Chauvet and Gobekli Tepe it is equally represented a succession of celestial configurations, symbolized though in a direct way by these series of panels, in the first case natural, in the second artificial.

Under those circumstances, it is not no coincidence at all that they have been the astronomers belonging to the English masonry to deal with the Great Pyramid. These were people that had received news able to confuse them, given that already at that time, in West, the sky was seen in a nearly completely “laical” way. Even Shakespeare’s work testifies that around the ‘600 the meaning of the sacred celestial cycles was already completely lost to our religion, and if something remained of it, they were metaphors of merely theatrical and literary meaning.

Instead for the Ancient Egyptian priests, expression as “divine world” and “nocturnal and diurnal sky” were absolutely identical and synonymous. And this made possible the fact that the first explorers of the Great Pyramid, in addition of being personally deceived, have in turn deceived the others, that have been lead to take as a joke really serious things, at least from the historical point of view.

In fact, if we project ourselves in the point of view of people that strongly believed that the stars were Gods, at this point it becomes completely obvious that the knowledge of the cosmic rhythms gave the gift of prophecy.

An astronomer at that time was a “prophet” in the sense that it was able to infallibly foretell the time in which certain celestial entities, rising in height at the horizon, climbed on the throne in the Kingdom of the Skies, and the others that instead descending, lost it (this is precisely the curse that Noah threw on the son that had seen him naked; that he would descend; while he blesses the sons that have entered the tent backwards, saying: they must grow up!).

Once that we have taken this point of view, behold the ideas of Piazzi Smyth and of the people that inspired him, don’t seem at all fool. They are only the deformation in modern Western style of a culture in which the world’s events were considered at the same level of inconsistent appearances, the vacuous reflex of that divine, cyclical, eternally coming back history that we contemplated happening every day in the sky.

Fifth part:

A BRIEF EXCURSUS ON OLD TESTAMENT NUMEROLOGY

1.

As we have observed various times in the course of the precedent part of this work, the mathematical connections between the fundamental physical constants and the measures of the Great Pyramid, are basically based on π, ɸ and the 10. Also, we begun to understand that this connections can be found also in the ratios that we can institute between the numbers that in such a reiterated as apparently also cryptic way, are inserted in the pages of the Old Testament. The first five books in particular, the well known Pentateuch that were originally built and passed on orally according to a vary refined mathematical code, have been considered by various scholars and from many points of view, a product of the influence that the Israelites had received from the Ancient Egyptians. Now we have the possibility to give also a mathematical confirmation of this thesis.

As for the numerological meaning of the 40 we can notice as a first thing, that its 79th root is very near to π/c, whilst the 64th root of 40/2 = 20 corresponds exactly to 32√(2√5), that in turn differs of only 1/106 from π/c. This means that

π/c = 1,047922.. ≈ 64√20 = 1,047921.. ≈ 79√40 = 1,047802..

79√40 ∙ c = 3,1412.. ≈ π = 3,1415..

This means as a first thing, that we can obtain an extraordinary good approximation of

c = 2,9979246 from √5 = ɸ + 1/ɸ and from π. In fact

π : 32√(2√5) = 2,9979285.. ≈ c = 2,9979246

But, as we have seen, we can obtain a very good approximation of π by 3/ɸ, and so we can write the above formula in this way

(3/ɸ)(3/ɸ) : 32√[2 ∙ (ɸ + 1/ɸ)] = 2,99790915.. ≈ c = 2,9979246

Actually, we can obtain from 3/ɸ also a very good approximation of the characteristic number of the constant of Planck, as

3√[1/(3/ɸ)]2 ∙ 10 = 0,662589053.. ∙ 10 = 6,62589053.. ≈ h = 6,626

Coming back to ħ and its connections with the golden number, now we know that to obtain it is now very simple, as we can calculated it from a function of ɸ, a number that, in its turn, could be obtained from one on the most sacred biblical numbers, the 5, as ɸ = (1 + √5)/2

{3√[1/(3/ɸ)]2 ∙ 10} : [(3/ɸ)(3/ɸ) ∙ 2] = 1,054550057.. ≈ ħ = 1,054571628..

We may note on passing that, inter alia, we can conceive ɸ also as the number that, if we subtract its inverse, give us 1. Obviously, also the 2 could be obtained in a similar way, given that (1 + √2) – 1/(1 + √2) = 2. If we make the ratio between this numbers (this is (1 + √2) and ɸ), then we square it and finally we multiply the result by c = 2,9979246, we obtain the characteristic number of the gravitational constant

[(1 + √2)/ɸ]2 ∙ c = 1,492066..2 ∙ 2,9979246 = 2,226261.. ∙ 2,9979246 = 6,674162.. ≈ G = 6,672

Obviously, subtracting (ɸ + 1/ɸ)2 = 5 to this result, we obtain a very good approximation of the characteristic number of the neutron mass mn = 1,6748

{[(1 + √2)/ɸ]2 ∙ c} – (ɸ + 1/ɸ)2 = 6,674162.. – 5 = 1,674162.. ≈ mn = 1,6748

At a trigonometric level, the 79 is connected with ħ in the way that we see below

3√(sin + cos 79°) = 3√(0,981627.. + 0,190808..) =

= 3√1,172436.. = 1,054459.. ≈ sin + cos + tg π/2 = 1,054458.. ≈ ħ = 1,054571..

At another level the 79 seems to be connected with 2/ɸ

3√(√79 – 7) = 3√(8,888194.. – 7) = 3√1,888194.. = 1,23599174.. ≈ 2/ɸCheops = 1,235643104..

The fact that the square root of 79 has a result so typical at a numerologically level seems to have some kind of meaning in relation to the measurements of the Big Pyramid, because the Doctor Miquel Pérez-Sánchez seems to have discovered that they have a numerological connection with a very similar number

Moreover, if we calculate the ratio between the exponents of the two roots, we find again a rather interesting number, given that:

(79 : 32)/2 = 1,234375.. ≈ 2/ɸCheops = 1,235643104..

If we consider another number that is particularly frequent in the Ancient Testament, the 70 , we see that the 70th root of 40 gives a number rather close to ħ

70√40 = 1,054111.. ≈ ħ = 1,054571..

Calculating the 40th roof of 70, we get anew very close to ħ2, given that

40√70 = 1,112058.. ≈ ħ2 = 1,11212.. (- 0,000062)

Dividing 70 by π4 we can get very near to the Euler number

2 + (70 : π4) = 2 + 0,718618.. = 2,718618757.. ≈ e = 2,718281828.. (+3,369293.. ∙ 10-4

If we calculate the 8th root of the inverse of the difference that we have registered above, we get anew very near to the Euler number

8√(3,369293.. ∙ 10-4) = 8√2967,981103.. = 2,716799830.. ≈ e = 2,718281828..

In the Ancient Testament we find very often also the 80 (for example, this was Moses’ age when God assigned him the task of taking out the Israelites of Egypt: or about Jesus, we say that he fastened for 40 days and 40 nights). According that we have seen above, it is clear that the 2 ∙ 40 = 80th root of 70 should take us really close to ħ

80√70 = 1,054541.. ≈ ħ = 1,054571..

We get very close to ħ also using a number that leads us again to a very important Biblical number, the well known Number of the Beast, even in the slightly more complex way that we see here below, where we use the function x√x

66√40 = 1,0574835887878297664997187440786

1,057483.. √1,057483.. = 1,054275.. ≈ ħ = 1,054571..

This same number, raised to the 7th power, leads us really near to ɸ, given that

(66√40)7 = 1,47882.. ≈ 3√2ɸ = 1,47912..

Moreover, if we multiply by 6 the 66th root of 666, here’s that we get an excellent approximation of the constant of Planck actually in use

66√666 ∙ 6 = 6,621115.. ≈ h = 6,626

This approximation of the constant Planck is very near to the one that, if used to divide the round angle, gives us the angle that has a tangent equal to the sum of sinus and cosine, so that

tg (360° : 6,621115486..) – [sin + cos (360° : 6,621115486..)] =

tg 54°,371502.. – (sin + cos 54°,371502..) = 1,395318502.. – 1,39533843.. = -1,99.. ∙ 10-5 ≈ 0

We must notice the fact that the Number of the Beast can be built in a numerological way, by putting the 6 which the result of the root is multiplied next to 66, that is the exponent of the root. The Number of the Beast takes us to ɸ also in the following way

(4√666) : π = 1,617032.. ≈ ɸ = 1,618033

2.

Also in the chapters dedicated to the origin of the Hebrew people, we find some mathematical connections between the numbers that are suggested. Abraham was 86 years old when Agar gave to birth Ishmael, and he was 99 years old when God promised him a progeny through her wife. The 86th root of 99, brings us anew very close to ħ

86√99 = 1,054884.. ≈ ħ = 1,054571..

The son of Abraham and Sarah, Isaac, would born when Abraham would be 100 years old. The 99th root of 100 gives us a result very close to π/c

99√100 = 1,047615.. ≈ π/c = 1,047922..

Calculating the natural logarithm of 99!, we get very near to 360. This means that calculating it for another 2 times, we get to a good approximation of √π

Ln 99! = 359,134205.. ≈ 360

3Ln 99! = 1,772185161.. ≈ √π = 1,772453850.. (-2,686895840.. ∙ 10-4

Calculating the logarithm to base 10 of the inverse of the difference we have registered above we get to an almost perfect approximation of 2 + π/2

log 1/2,686895840.. ∙ 10-4 = log 3721,766899.. = 3,570749169.. ≈ 2 + π/2 = 3,570796326..

These numbers that are related to Abraham, have a relation with other similar numbers that we can found in other parts of the Bible. For example, the number 86 of Abraham’s age at the moment of Ishmael birth, have a corresponding in Numbers 3,24, where the number of sons in the Keatiti family were 86 ∙ 100 = 8600. Moreover, to the Keatiti family was assigned the custody of the Ark of Alliance.

In The Snefru Code part 3 and part 7 we have analyzed in a rather deepened way the numbers relating to the Deluge and also those connected to the well know problem of the Ark of Alliance. Maybe it would be convenient to expose them once again, but for reasons of brevity, we will briefly go through what could be the numerological-scientific reason of the age of Noah, Methuselah and Enoch.

Noah lived until 950 years, whilst Enoch, is “taken to the sky” at the age of 365, a number that nearly certainly symbolizes the days of the Ancient Egyptian solar year. We must notice that the first copy of the “Bible of the Seventy” had been inscribed on 365 leathers of big animals and that the 365 is found in various places belonging to the Stone-age period. For example, the biggest megalithic circle in the world, Avebury, has a diameter of 365 meters, and is separated from the one of Stonehenge by a distance of 36 km, a number that is equal to the number of “pure” days of the Ancient Egyptian solar year (360) divided by 10. The 36 corresponds two times the number of the months of the Maya solar year (18 ∙ 2 = 36), that in turn correspond to the 36 enormous quartz stones that decorate the mound of New Grange.

Anyhow, the connection between the prophet Enoch and a trigonometric knowledge founded on the sexagesimal code, can be easily deducted by “The book of Enoch’s s secrets”, a part of the Ancient Testament that is not accepted by the Catholic Church, where in chapter XXIII we read

(the Archangel Vereveil) Used to tell me that all the creations of Sky, Earth and Sea, and the motions and the lives of all the elements and the changing of the years, the movements and the changing of the days, the commandments, the instructions and the sweet voice of the chants and the and the rising of the clouds and the releases of the winds, and each language of every chant of the armed militia. All that it is convenient to learn, Vereveil has exposed it to me in thirty days and thirty nights and his mouth didn’t stop talking. I didn’t rest for thirty days and thirty nights, writing all the signs (of the divine alphabet used by Verveil, that is presumably the one of sexagesimal trigonometry) and when I finished, Vereveil told me “ Seat down, and write all that have exposed to you”. I sat down for the double of thirty days and thirty night and I wrote (everything) in an exact way and I composed 360 books.

It really seems that a passage of this kind is more than enough to base the hypothesis that already at the origins of Ancient Testament there was also a perfect knowledge of trigonometry: the repeated allusions to 360, and its “sexagesimal” fraction, 30, 60 and 120 don’t seem to leave any doubt. So, we can carry on in this work with the certainty that the decoding of the numerology of this and other parts of the Ancient Testament , is not at all the result of speculation. Actually, the angle of 30°, 60° and 120°, as we all know, are characterized by a sinus, a cosine and a tangent that are function of an only number, the 3. And we have already seen what an enormous scientific meaning the 3 could have, given its fundamental role in establishing a connection between ɸ, and π. Actually, to the things that we have already seen, we have to add also the fact that the factorial of -1/2 (and so of the cosine of an angle as 120°, or the sine of 210°, etc.) is equal to √π

-1/2! = 1,7724538509055160272981674833411 = √π

This means that all the connections between π, ɸ, and the scientific constants could have been established by angles that have the sine, or the cosine, or the tangent equal to -1/2. But we will see in a better way this problematical in a future article.

About 365 we may note that from it we can obtain a very good approximation of the characteristic number of the constant that describe the proton mass (mp = 1,6725 ∙ 10-27 kg)

1 + (4log 365! ∙ -2) = 1 + (-0,336225.. ∙ -2) = 1 + 0,672450.. = 1,672450.. ≈ mp = 1,6725

About the 27, that is the power of 10 that is the other characteristic of the proton mass, we may note on passing that from it we can obtain a very good approximation to the characteristic number of length of Planck, following a trigonometric way

10tg 27 : 2 = 3,232402.. : 2 = 1,616201.. ≈ ℓP = 1,616252..

3.

Carrying on trough the mathematical analysis of the Biblical text, as a first thing we discover that the ratio between Noah’s age and Enoch’s one is equal to

950 : 365 = 2,602739.. ≈ 1 + cu = 1,6022 + 1 = 2,6022

At the age in which the Deluge happened, Noah was 600 years old. As a first thing, we see that this number, put into relation with the total of the years lived by Noah, leads us close to (√10)/2, given that

950 : 600 = 1,583333.. ≈ (√10)/2 = 1,58113..

From this number and from a ratio that we have seen above – 80√70 – we can get in a quite comfortable way to an approximation of the constant of Newton G in the way that we see below

1,583333.. ∙ 4 ∙ 80√70 = 6,6787.. ≈ G = 6,672

Instead the 600, put in relation to the number of “pure” days of the solar Ancient Egyptian year, leads us to the number that we need to transform the sixtieths of a degree in hundredths of a degree.

600 : 360 = 1,666.. = 5/3;

A part the fact that 5 and 3 are respectively the fourth and fifth number of the series of Fibonacci, there are other reasons to think that this constant could be enormously more important of what usually we are inclined to believe. Its decimal part in fact contains a clear allusion to the Number of the Beast (the 666), and exactly from it we can obtain a practically perfect approximation of π in a relatively simple way. As a first thing, we can calculate the cubic root of the decimal part of the number and then calculate 1/x

1 : 3√(1,666… – 1) = 1 : 3√0,666.. = 1 : 0,8735804.. = 1,144714..

Well, with astonishment we notice that this number corresponds to an extraordinary good approximation of the natural logarithm of π, from which it differs of only 15 millionths.

1 : 3√(1,666… – 1) = 1,144714.. ≈ Ln π = 1,144729..

This means that raising the Euler number to 1 : 3√(1,666… – 1) we obtain an approximation of π that differs by the exact number of only 49 millionths

e1 : 3√(1,666… – 1) = e 1,144714.. = 3,141543.. ≈ π = 3,141592..

Moreover, we must notice that the natural logarithm of π can be obtained up to the fifth decimal in a numerological way, operating with some numbers that for the ancient astronomical religions where really important, these are 1, 144 and 72, profusely present also in the Bible. In fact

1 + 144/103 + 72/105 = 1,14472

This number lead us to an approximation of π that differs from the exact number of only 31 millionths. In fact

e1,14472 = 3,141561.. ≈ π = 3,141592..

A good approximation of the natural logarithm of π can be obtained also from the root of 10 and from the Euler number, given that

1 : 6√(√10 – e) = 1 : 6√0,44399.. = 1,1449069.. ≈ Ln π = 1,1447298

The approximation of π that we can obtain from this number is

e1,1449069.. = 3,1421.. ≈ π = 3,1415..

With a similar process we can use 1/√5 and the 11, a number which is part of the fundamental proportion of the measurements of the Big Pyramid (that is 11/7 = 440/280: interestingly enough, to obtain 440/280 we have to multiply 11 and 7 by a biblical sacred number that we have analyzed above, the 40) to get to a similar result

11/10 + [(1/√5) : 10] = 1,1 + (0,447213.. : 10) =

= 1,1 + 0,0447213.. = 1,144721359.. ≈ Ln π = 1,1447298..

The approximation of π that we can obtain from this number, is really excellent.

e1,144721359.. = 3,141565.. ≈ π = 3,141592..

4.

This whole group of relations, seems to confirm the harmonic link that we have found between the numbers that have been coded by the Ancient Egyptians on their monuments. An harmonic link that emerges also from the ratio between √10 and c = 2,9979246, that gives a number very close to ħ

√10/c = 1,054822.. ≈ ħ = 1,054571.. (+0,00025)

The same musical rhythm can be found in the difference from π and ɸ2, that gives a number really close to π/6

π – ɸ2 = 0,523558.. ≈ π/6 = 0,523598.. (-0,00004

Or also in this simple equation in which we find again that π seems anew link to the golden number by means of 3 in a sort of mysterious relation, which, however, it’s constantly condemned to a slight imperfection

1/π + 3/10 = 0,31830988.. + 0,3 = 0,6183098.. ≈ ɸ – 1 = 0,618030799.. (+2,758974338.. ∙10-4

Interestingly enough, the 33 = 27th root of the inverse of the difference that we have registered above corresponds in a rather good way to 1 plus the duration of the lunar year (354,36 days) divided by 103

27√(1/2,758974338.. ∙10-4) = 27√3624,535.. = 1,354640.. ≈ 1 + 354,36/103 = 1,35436

Instead, calculating for 4 times the natural logarithm of this same cipher, we can get very near to the Number of Beast divided by -103

3√4Ln 3624,535.. = 3√-0,296195464.. = -0,666591.. ≈ 666/-103 = -0,666

But much more Interesting of this seems the fact that form 1/ɸ – 1/π we can derive a good approximation of c = 2,9979246

1/ɸ – 1/π = 0,618033988.. – 0,318309886.. = 0,299724102.. ≈ c/10 = 0,29979246

The double of the inverse of this approximation of c/10 gives us a very good approximation of the characteristic number of G, and, obviously, of 5 + mp

2/(1/ɸ – 1/π) = 2/0,299724102.. = 6,672803.. ≈ G = 6,672 ≈ 5 + mp = 6,6725

As in this article we have used many times the logarithms, going toward the conclusion, it is convenient to observe that also the natural logarithm of 2 + 2ɸCheops is rather interesting, given that it corresponds in a practically exact way to the c = 2,9979246 root of ɸCheops. In fact

Ln (2 + 2ɸCheops)2,9979246 = 1,618498137.. ≈ ɸCheops = 1,618590346..

As the natural logarithm are base on the Euler number, it seems interesting to note that if we raise the Euler number to the number that comes out from the ratio of the sixth and seventh number of the series of Fibonacci 13/8 = 1,625 (a number that, as we have seen in The Snefru Code part 7, can be obtained also from the golden ratio of the Ancient Egyptian solar year) we find again something that seems really very interesting. We are talking about the constant that we need to calculate the length of Planck ℓp = √(ħG/c3) = 1,616 252. In fact

e1,625 : π = 5,078419.. : 3,1415.. = 1,616510.. ≈ ℓp = √(ħG/c3) = 1,616 252

Raising the Euler number to the characteristic number of the length constant ℓP = 1,616 252 and dividing the result by π we get to a result very close to the unitary charge, given that

e1,616 252 : π = 5,03418.. : π = 1,60243.. ≈ cu = 1,6022

Interestingly enough, ℓP = 1,616 252, by means of the Euler number, seems connected also the characteristic number of the proton mass mp = 1,6725, given that

Ln [2∙ (ℓP – 1)]8 = Ln (2 ∙ 0,616252..)8 = Ln 1,232504..8 = Ln 5,324841.. = 1,672382.. ≈ mp = 1,6725

The ratios that we are discovering seem really interesting. They maybe deserve a more detailed work, but because they don’t relate directly to the subject that we are dealing with, we postpone this work to another occasion. We explain only something that, given all that we have discovered until now, it will maybe result as something more than a curiosity. Raising the Euler number to h – 5 = 1,626 and carrying on as we did until now we obtain an excellent approximation to the golden number, given that

e1,626 : π = 1,618128305..

Given what we have seen above, from eh – 5 : π = e 1,626 we can get a good approximation of 1/π by means of 3/10

(e1,626 : π) – 1 – 3/10 = 0,318335.. ≈ 1/π = 0,318309.. (+2,595.. ∙ 10-5

What we see above means obviously that we can find a similar relation also between the Euler number and 4√7, a very interesting root on the numerological point of view, given that both the 4 and the 7 are two most famous sacred number, spread in any religion in any part of the world

e⁴√7 : πCheops = e1,626576.. : 22/7 = 5,086431.. : 3,142857.. = 1,618410.. ≈ ɸCheops = 1,618590..

In this way it is confirmed the fact the constant of Planck actually in use, gives rise to a number with completely particular characteristics, that certainly deserves further investigations, that we postpone to another occasion.

5.

Going back to the analysis of the numbers regarding Noah, we notice that the 600, that is Noah’s age at the moment of the Deluge, inserted in this simple equation, gives us a very good approximation to ħ

√[(8√600) : 2] = √1,112343.. = 1,054676.. ≈ ħ = 1,054571..

The 600 years before the Deluge were divided in two distinct phases of 300 years each. Putting in relation these 300 years with the 365 of Enoch, through this simple function, we get very near to ɸ.

{[(365 : 300) ∙ 5] – 1} : π = 1,618075.. ≈ ɸ = 1,618033..

Here maybe, the fact of having inserted the 5 in the equation, could seem a kind of stretching to whoever doesn’t know how it was important in the Old Testament numerology. Let’s consider that the 5 was one of the most sacred numbers to the Israelites, something that results even obvious, if we consider its intimate connection with ɸ, that we have more than once seen, and with a right angle triangle that in turn is considered sacred, the one a side that measure 3,4,5, an area of 6 and a perimeter of 12, that has some extraordinary harmonic and numerological characteristics.

In fact the minor cathetus of this triangle, raised to the square, gives us the sum of the two other sides, the middle one is the half of the sum of the other two, the value of the perimeter corresponds to the signs of the zodiac and to the months of the Ancient-Egyptian solar year, to two times the area and to the root of the 12th of the Fibonacci series (including 0) √144 = 12.

The area (4 ∙ 3) : 2 = 6 multiplied by the minor cathetus (3) gives us the sum of area and perimeter 12 + 6 = 18, equal to the number of the months in the Mayan solar calendar Haab’, multiplied by the major cathetus, gives us the double of the perimeter 6 ∙ 4 = 2 ∙ 12 = 24, multiplied by hypotenuse one, gives us the numerological sum 3 + 4 + 5 + 6 + 12 = 6 ∙ 5 = 30 and in this way, also the number of days in the Ancient Egyptian, etc.

As a last data, let’s observe that if we put in relation the exact duration of the solar year with the number of “pure” days of the Ancient-Egyptian solar year, we get again to π, even if in a slightly complicated way

(365,25 : 360)2ɸ ∙ c = 3,1417.. ≈ π = 3,1415..

Methuselah died at the age 969, a number that takes us in a nearly immediate way to π

6√969 = 3,1457.. ≈ π = 3,1415..

Gabriele Venturi

L’ANGE

Vingt ans

Les voix instructives exilées… L’ingénuité physique amèrement rassise…

– Adagio – Ah! l’égoïsme infini de l’adolescence, l’optimisme studieux :

que le monde était plein de fleurs cet été ! Les airs et les formes mourant…

– Un chœur, pour calmer l’impuissance et l’absence !

Un chœur de verres, de mélodies nocturnes…

En effet les nerfs vont vite chasser.

A. Rimbaud

Lointain…

Si

lointain…

Lointain

et pourtant

même d’une pièce fermée

pouvoir te regarder dans les yeux

voisin,

absolument intime

et invisible

comme un miroir.

Pouvoir te suivre

le long des rues des taxis

égales

comme un labyrinthe,

dans l’immensités des aéroports

égales

comme un désert,

entre les visages des salles d’atteinte

égaux

come fantômes dans les yeux

ou comme des gouttes de pluie

qui tombent dans l’eau.

Les tableaux des horaires

dans lesquels le temps tous les jours

se défait, irréel,

comme une année entière

dans les notes d’une agenda

ou dans les nombres d’un calendrier.

La première ou la seconde classe,

la bienvenue,

les salutations et,

surtout,

les sourires…

Les sourires :

ça ne rate jamais…

Cette farce se récite partout,

et t’harcèle

et te hante

d’autant plus que les bravos,

ou les ovations :

il n’y a pas un seul rêve

qui ne se réveille pas

dans le tonnerre des acclamations,

des salutations

éclairées par le clignotement

des sourires,

mer en tempête

dont tous les jours on doit faire

l’interminable traversée

qui débarque enfin

dans un matin amère…

Il était dur de l’apprendre

et il est impossible

de l’enseigner à quelqu’un d’autre.

Celui qui ne s’arrête nulle part

est condamné aux sourires

comme le banni au bannissement,

et celui qui ne l’a jamais essayé,

pour toujours restera incrédule :

personne

n’a jamais rien à réprimander

à celui qui vient juste parce que l’on a appelé,

juste parce que l’on a payé.

Pourquoi on devrait montrer le visage

de la dure vérité,

du dur amour quotidien

à celui qui jamais porte le poids du temps,

à celui qui comme un nuage léger

vient avec le vent

qui va on ne sait où ?

* *

Lointain…

Si

lointain…

* *

Si lointain,

et pourtant

savoir ce que tu penses

quand tu penses à rien.

* *

Lointain…

Si

lointain…

Et pourtant

savoir ce que tu cherches

de là de cet horizon fermé,

de ce coucher de soleil, rouge de honte,

parce qu’un jour de plus est passé,

immobile,

comme ce ciel si fond

sans plafond,

de la fenêtre de ton avion,

ton rempart,

qui n’atterre jamais,

qui se dirige nulle part.

* *

Nulle part,

oui….

Nulle part

ou….

….lointain…

Si lointain…

* *

Lointain,

oui,

comme un aveugle :

et pourtant

pouvoir voir s’ouvrir et se défaire

les valises,

vomir vêtements,

puis avalés par la machine,

par les tiroirs,

puis dévorés encore

par ces valises insatiables,

sans cesse :

sans cesse

savourer la douleur assoupie

sous le maquillage de l’actrice

qui trompe tout le monde

sauf toi-même,

si lointaine

même

de toi-même…

Si lointaine,

oui,

que je ne peux plus même prononcer

ton nom, si cher,

et pourtant t’avoir ici,

continuellement,

inutilement perdue,

si te voir,

si lointain, pourtant, comme un aveugle,

tu le sais,

c’est mon sort pérenne,

c’est mon étrange mort,

c’est ma vie

quotidienne.

Ainsi,

inévitablement te pleurer,

inévitablement te regretter

avec des larmes qui tombent

désormais distraites,

sans commotion,

sans pudeur,

et désormais

sans aucun goût

ni dégoût.

* *

Enfin

savoir que nous sommes

comme tous.

Voir que notre mal eternel,

maternel,

c’est un destin béotien,

et s’il n’est pas mort,

tu le sais,

c’est juste parce qu’il est

mortel.

Nous aussi,

aussi les anges,

sont faits de la même cendre,

étrange,

des cigarettes qui nous fumons

et qui dans les coins se mélange

à la poussière cosmique,

à la fatigue comique

du serveur qui l’époussette tous les matins,

si l’hôtel veut conserver son nom

s’il ne veut pas être considéré un fainéant,

si regarder un lit défait

me rappelle ta photo,

je ne sais pas comment.

TROIS POÈMES POUR S.

INTERLUDE

Ah ! cette vie de mon enfance, la grande route par tous les temps, sobre surnaturellement, plus désintéressé que le meilleur des mendiants, fier de

n’avoir ni pays, ni amis, quelle sottise c’était. – Et je m’en aperçois seulement !

A. Rimbaud

Varsovie

Varsovie couverte de neige

et d’invisibles fleurs

qui des blancheurs illimitées

de la neige se nourrissent

et resplendissent

émerveillées.

Varsovie du ghetto,

du carnage.

Varsovie mille fois balayée

et mille fois

comme moi

ressuscitée.

Varsovie ta patrie

ton ciel.

Varsovie dans tes yeux

dans mon amour

comme un voile.

Varsovie de ton rire d’argent

et de ces intimes souffrances

dont je ne souffre plus

qui presque sont oubli.

Varsovie des pas qui retentissent

dans le silence de spectres d’une rue latérale,

d’une vie quelconque qui passe

fatiguée de tristesse

et dont après personne

ne saura rien.

Varsovie encore en vie

pourtant

sous en déluge de temps

qui jamais ne se retient.

Varsovie

qui s’éloigne

comme une vallée dans une évanescence

de brume sans destin,

vague labyrinthe

où le cœur

s’égare,

cherchant sens cesse ce qui reste

d’une perdue et splendide

douleur.

Varsovie,

je le sais,

désormais presque seul en nom

qui dans le ténu s’évanouir de la mémoire

s’évanouit et s’attenue

comme ton visage

dans une pénombre d’une tonnelle en été,

fixant un coin obscur,

là où je voudrais

rencontrer tes yeux.

PARIS (AVANT TOI, APRÈS TOI)

I.

APRÈS TOI

Si je désire une eau d’Europe, c’est la flache

Noire et froide où vers le crépuscule embaumé

Un enfant accroupi plein de tristesse, lâche

Un bateau frêle comme un papillon de mai.

A. Rimbaud

Rues larges comme places,

places illimitées comme le désert

et pourtant pleines de gens qui vont et viennent. Paroles

saisies à la volée ici et là

entre le bruit du monde et de “tout le monde”

dans une langue qui résonne obsédante et possédée

par un seul nom : Arthur Rimbaud.

Puis :

musées qui érigent un mystique, fantastique, protéiforme labyrinthe,

cathédrales ivres des symboles qui défient l’abîme,

lointains horizons normands, d’acier, de tours et de cavalcades,

les barricades, les flammes, les chansons, les cris sans fin

de la Révolution, Napoléon, la Seine qui coule

lente et rapide telle que le temps et après …

Et après ?

Et après

un fleuve, une mer, un naufrage, un tourbillon des choses

qui dans la mémoire confuse et illimitée s’échappent

tels que les feux jetés par un train en marche :

les nations, les explorations, les colonies, les empires,

les peuples, le populisme, l’individu, l’individualisme,

la technique, la science, le progrès, la république,

les démocraties, la Première Guerre Mondiale,

l’après-guerre, le communisme, le fascisme,

l’existence, l’existentialisme, la crise de ’29, le nazisme,

une autre Guerre Mondiale, encore,

un autre après-guerre, encore,

la reconstruction, la guerre froide,

le développement, le Mai du ‘68,

les jeunes du Mai,

le flux et le reflux

et après …

Et après …

….et après

pourquoi lutter

pur se souvenir d’autres choses

encore?

Ici

on peut trouver tout

– et partout ! –

de sorte que rien n’est jamais

vraiment

à rechercher.

* *

Loin

la Tour Eiffel s’estompe

comme derrière une fenêtre

où le souffle silencieux étend un voile :

ce sont les larmes à la pensée

que pendant des années et des années

juste tes yeux

ont vu ce ciel.

II.

PARIS AVANT

Le ciel….

Le ciel comme aveugle,

comme en aigle…

Ce ciel

loin,

parti

et ainsi…

….perdu,

comme rendu

au désert obscurci,

endurci,

sans vie

de l’hiver.

Un sourire affaibli,

apeuré

franchit l’air morne.

Rigide,

engourdi

dans la caresse gelée du vent,

le front baissé

sous ce ciel bas,

sous la pluie lente,

trop lente,

trop fine

pour l’appeler pluie

et trop épaisse

pour croire vrai ce prodige nu

– se sentir perdu dans le brouillard –

en qui pourtant

follement

il croit.

Labiles éclats

de sable noir : voici

la dure Seine

où comme goélands à l’horizon

se perdent

les voix et les frémissements

des blancs bateau

débordant de gens

qui lui semblent heureux.

Il marche

lentement,

caressant doucement

les parapets.

Plongé dans le secret

de son interne silence,

immense,

il n’entend pas les bruits :

partout

il y a de gens

et il ne voit personne.

Distrait par des souvenirs

qu’il ne sait pas d’avoir

l’adolescent timide bégaie des phrases incertaines

en cette langue nasale

que l’enfant commença peut-être à apprendre

et que l’adulte finira pour oublier

presque entièrement.

Les marbres impassibles,

Notre-Dame

impossible.

Un visage qu’il sait de ne pas connaître

– et qui pourtant il pense de reconnaître –

s’évanouit derrière le coin,

tandis que comme en proie à la fièvre il parcourt

les vastes labyrinthes du Louvre,

où à la fin chaque couloir bifurque

en ères perdues,

symboles incompréhensibles,

dieux et fois surréels,

gouffres d’événements et temps qui fondent

puis

parmi les labyrinthes du trafic,

dans le gouffre des rues

et des places gigantesques

dont presque il ne peut pas imaginer

l’énorme traversée,

les yeux éclipsés sur la vitrine obscurcie où

son vain reflet scrute celui

encore plus vain,

encore plus inhumain

de la Tour Eiffel

qui grimpe vers ce ciel

désormais tellement

loin

et tellement….

….perdu…

…éthéré,

comme dispersé

dans le désert de pierre,

de verre

de l’hiver.

Une saison à l’enfer terminait,

une autre commençait

interminablement.

Je fumais des Gauloises,

je buvais du cognac,

je pensais de chercher un autre Ailleurs

– désespérément –

mais comme un héros

fatigué et d’un autre âge

j’étais en train de revenir à la maison

et je ne le savais pas.

TES VALISES

Un coup de ton doigt sur le tambour décharge tous les sons et commence la nouvelle harmonie. Un pas de toi, c’est la levée des nouveaux hommes et leur en-marche. Ta tête se détourne: le nouvel amour! Ta tête se retourne: le nouvel amour! « Change nos lots, crible les fléaux, à commencer par le temps », te chantent ces enfants. « Élève n’importe où la substance de nos fortunes et de nos vœux », on t’en prie.

Arrivée de toujours, tu t’en iras partout.

A. Rimbaud

Ta légèreté, tes valises, tes départs, comme je les envie !

Et je sais d’être fou. Parce que l’envie c’est la folie même.

Peut-être que l’air, l’eau et le pain

sont tout ce qu’il y à envier dans ce monde

et le reste – tout le reste – sont des fables au vent.

Je le sais trop bien tout cela, et je le répète. Et pourtant

je t’envie quand même.

Ta légèreté, tes valises, tes départs, comme je les admire !

Je les vois aller sur la surface inutile du temps

comme un magique poisson volant

qui vaguement rebondit sur les vagues

par toi béni tantôt ici, tantôt là-bas, après

qui sait où….

Je ne peux même croire

ou imaginer

que celles-ci ne soient rien d’autre

que tes chaines,

ton fardeau,

ton tourment,

ton destiné exile de toi-même

comme il est pour moi-même

de rester ici

où je ne suis pas.

LA BIBLIOTHÈQUE DU RÉVEIL

Incrédule.

Incrédule,

comme en découvrant

un feuilleton du dimanche,

totalement insignifiant,

écrit avec un style pire que médiocre

par un auteur sans talent

et donc destiné à rester

totalement et légitimement

inconnu

Cette imitation d’écrivain,

ce triste gratte-papier,

de toute évidence,

voulait écrire quelque chose de réaliste

mais les personnages qu’il invente

sont chimériques et sans consistance

comme ceux d’un conte de fées

(qu’au moins sont vrais et crédibles

dans leur intangible et fluide

trace onirique).

Par conséquent

la trame qui sort

est inutile par principe

et vulgaire jusqu’à la fin :

un menu de sornettes et balivernes,

un friperie de babioles que je lis seulement parce que

– pour des raisons qui sont logiques seulement dans le rêve –

je n’ai rien d’autre à lire.

Donc, si je veux me distraire de ce je ne sais quoi

que j’appelle « vie »,

ou « ennui », ou « angoisse », ou « mort »,

je dois nécessairement m’intéresser aux vicissitudes

– larmoyantes jusqu’à la putréfaction –

du protagoniste de cet intrigue bon a rien,

qu’en se posant de stéréotype sous-culturel

passe d’un cliché démodé à l’autre,

en terminant pour aimer une certaine « S. »

– de laquelle l’on peut douter s’il connait même

les autres lettres du nom et qui quoi qu’il en soit

il n’a pas vu depuis deux ans –

comme si elle était très réelle et dans sa pièce,

ou comme si sa vie était enchaînée à celle de sa bien-aimée

par un lien d’autant plus fort qu’il est invisible,

indéfinissable

et donc aussi complètement

incompréhensible.

Un véritable outrage ou pudeur littéraire,

on voudrait dire,

une opéra de quatre sous après quelques années d’inflation,

comme il est clair dès début

de ce petit rien à rire,

mais en contrepartie capable de faire rougir de honte

la plus affaiblie et languide

entre les romans de charme.

Le fait que je le lis serait de ma part

un miteux céder à la grossièreté,

un acte de véritable incivilité,

si dans ce bric-à-brac primitif et confus

n’était pas finalement

– et avec toute gravité – .

toute ma vie

et toute ma réalité.

EN COMMENÇANT PAR MOI-MÊME

1.

EN REGARDANT AU-DEHORS

Un bagne .

Ou non,

non…

…non…

Non pas un bagne,

non…

Au contraire

une sorte de cercle

au même temps maudit et magique,

fait de désert indéchiffrable

et d’horizon vide.

Oui,

peut-être il est juste

ainsi…

Dunes toutes différentes

et toutes égales

sur le chambranle grisâtre

de la sable interminable

Et puis,

…puis…

Oui!

Puis encore dunes,

dunes et nuages :

nuages tous différents et tous égaux

sous le plafond labile et éblouissant

du bleuté sans fond.

Un abîme dans lequel,

comme il arrive de tout,

rien de rien

ne va jamais arriver.

C’est de cette manière

que mon âme

se rassemble à tes paysages.

Si je ne t’aurais pas perdu ailleurs

je t’aurais perdu ici,

dans mon esprit,

dans ce labyrinthe de poussière,

dans cet aveugle infini brouillant et blême

où tout est perdu

depuis toujours

en commençant par moi-même.

2.

CAUSES ET EFFETS

Notre vie :

être dans le fond le plus fond

d’un gouffre de coïncidences

aucune desquelles

nous appartient.

T’avoir connue,

par exemple.

Pour première chose :

une photo de toi que j’ai vu par chance

sur un hebdomadaire trouvé par chance

dans un train que j’ai pris par chance.

Un hebdomadaire quelconque,

que j’ai commencé a lire

pour me relaxer du nient

qu’en août l’on fait

pendant les vacances.

Une photo en blanc et noir

dans laquelle ton visage pouvait sembler

le même qu’un autre,

comme il apparaît pris par un profil si glissant

qu’il précipitait presque totalement

dans le fond obscur de la perspective.

Ainsi :

sentir dans cette image anonyme

ta voix qu’avec la douceur

de celui qui sait qui sera obéi

me disait simplement : viens !

Puis :

te rejoindre en savant qu’enfin

je ne t’aurais jamais rejointe.

Encore :

te voir dans cette salle

remplie de miroirs

comme dans le désert

l’on voit un mirage.

Encore :

accueillir dans les rêves

ton message obscur,

qui déchirait le sommeil avec l’insomnie

tout d’abord,

et puis le réveil,

et puis la veille,

et puis le monde entier et tout le temps

avec le néant de l’angoisse la plus pure

à me ravager

jusqu’à qu’il n’y avait plus ni monde,

ni temps

et plus une seule chose

à nier.

La mémoire envahie

par souvenirs

qui ne m’appartenaient pas.

La folie et la mort

dans chaque coin,

dans chaque grain de poussière.

Encore :

respirer dans chaque instant

l’aire vitreuse

à la fois glacée et suffocante

de la terreur.

Arriver finalement au centre et:

voir…

Voir, oui : voir!

Voir…

Voir, et ainsi s’enfoncer dans un savoir

fait de lumières similaires aux ténèbres

et de ténèbres similaire à la lumière.

Un savoir fait d’inouïe souffrance,

d’agonie de croix, de lance dans le flanc,

de vinaigre, sang et eau,

d’un Dieu qui m’avait abandonné

seulement parce que je pouvait enfin ressusciter

des enfers à ces vivants auxquels pourtant

je devrai taire pour toute ma vie

mon secret.

Donc je me tairai.

Mais ça ne va pas se passer

par loyauté à un mandat

ou parce que je crois que le monde

est indigne de le connaitre,

ou incapable de le comprendre :

et ni même parce que quelqu’un

obscurément m’oblige.

Ni même je vais me taire par humilité,

ou parce que je crois

qu’un tel secret doit,

pour raisons elles-mêmes secrètes,

rester un secret :

non, c’est rien de tout cela.

Mon secret va à rester secret

parce qu’il n’y a pas aucun mot

d’aucun langage humain

qui serait capable de le révéler :

l’ébaucher avec cette bégayement de poème

a été une manière quelconque

pour le cacher à tout le monde

en commençant par moi-même.