The range of significant degree angles – i.e., from 22.14º to 24.3º – and each from the crown-head-center of the Sphinx to the apex-centers of each of the three subsidiary pyramids – were obviously meant to bring attention to the Obliquity Cycle that had first been acknowledged in the 1920’s via the theory proposed by Milutin Milankovitch – i.e., that the obliquity of the Earth’s Axis oscillates slowly from 22.1º to 24.5º     and back again over a period of 41,000 years. This is an approximate estimate, as the cycle is said to be closer to 41,500 years. Some even say the duration of the cycle is somewhere between 40,000 and 46,000 years.

However, what we find at Giza, presents us with the same cycle . . . but the same cycle according to the ancient’s estimate, which is 43,200 years, based purely on the same 9-based numbers that produce the 25,920 precessional cycle – again, the ancient estimate. The curious math that arises from the apparent axis obliquity values presented by the angles of the abstract lines stretching from the head of the Sphinx to the apex-centers of each of the subsidiary pyramids adjacent to G3, is evidence of this.

The evidence is found in the fact that each of these angle values are divided by the number 1.080 (1,080 divided by 1,000):

22.14 + 1.080 = 23.22 + 1.080 = 24.3, and back again . . . 24.31.080 = 23.221.080 = 22.14.

4 x 1.080 = 4.32, x 10,000 = 43,200 . . .

So, again, according to what has been encoded here at Giza, the ancient estimate of 43,200 would be the number of years given to the cycle we know today as the ‘Obliquity Cycle’ according to Milutin Milankovitch. In other words, it would appear that the ancient designer/architect(s) who planned and designed Giza, were also familiar with this cycle in which the Earth’s axis oscillates slowly, moving between an obliquity of 22.1º to 24.3º and back again. However, the cycle was estimated to have a duration of 43,200 years, as opposed to the approximate estimates of 41,000, or 41,500 years, as suggested by Milankovitch and accepted by astrophysicists today.

According to this estimate, the change from one axis obliquity to another will take roughly 10,800 years . . . another curious number.

Speed of Light and the Fine Structure Constant

Gary Osborn

# 43,200-Year Obliquity Cycle?

It is now widely accepted by most astrophysicists, geologists and scholars that the Earth’s axis oscillates slowly, moving between an obliquity (tilt angle) of 22.1º to 24.3º and back again, taking roughly 41,000 years. This phenomenon is the Obliquity Cycle, one of the Milankovitch Cycles, named after Milutin Milankovitch (1879 – 1958) – a Yugoslavian astronomer and physicist.

In the 1920’s, Milankovitch found that these periodic axial shifts were closely associated with changes in the Earth’s climate. In other words, over periods of tens of thousands of years, the Earth’s climate is affected by variations in the Earth’s orbital geometry.

The three main orbital factors and their cycles that Milankovitch studied were:

Eccentricity: Variations in shape of Earth’s orbit around the Sun.

This cycle, ‘where’ and ‘when’ the Earth moves between an almost circular orbit to an elliptical orbit and back again, takes 93,408 years according to Milankovitch, although the all-round figure of 100,000 years is often given.

Precession: Variations in the wobble of the Earth’s axis, believed to be due to the gravitational pull of the Sun and Moon.

This cycle takes roughly 26,000 years to complete. The ancient (Platonic) estimate for the precessional cycle is 25,920 years, based on the ancient divisions of 24 and 60, resulting in numbers that reduce to 9 – the same number of deities in the ancient Egyptian pantheon known as the Ennead.

Obliquity: Variations in the obliquity (tilt angle) of Earth’s axis of rotation – again the axis shifting slowly from 22.1º to 24.3º and back again.

According to Milankovitch, this cycle takes roughly 41,000 or 41,500 years.

Below is a simple diagram that illustrates the Obliquity Cycle according to Milankovitch’s theory – showing the range of degrees in the varying obliquity of the Earth’s polar axis.

Fig. 2: From the crown-head-center of the Sphinx . . . (coordinates: 29.975295°N, 31.137712°E), to the apex-center of the subsidiary pyramid G3c (coordinates: 29.971639°N, 31.127340°E), is a precise ‘map length’ distance of 1,080 meters.

The azimuth heading is 247.86 degrees . . . 270º subtract 247.86º = 22.14º.

At present, the obliquity of the Earth’s axis of rotation is precisely 23.43703º (which in arc minutes and seconds is 23°26'13.3") and decreasing.

As I will now reveal, along with the Precessional Cycle, which has been encoded in the Giza Diagonal, the Obliquity Cycle has also been encoded in the monuments at Giza . . .

First of all, according to the surveys carried out by geologist Dr. Robert Schoch,   it has been carefully determined that the 0ldest sections of the Great Sphinx dates from around 10,000 BCE, or earlier. It has also been conjectured that the Sphinx predates most, if not all, the pyramids at Giza. This is interesting, as it would appear that aside from the Great Pyramid, which may also date from the time of the Sphinx or sometime after, with these monuments originally pertaining to a Solar cult, the other pyramids of Giza were later constructed to each reflect the three belt stars of the Orion constellation according to Robert Bauval’s Orion Correlation Theory. This makes logical sense, as Orion was clearly used as a 'gauge marker' for the precessional cycle also encoded in the layout of the pyramids and Sphinx at Giza, which together create the precessional timeline known as the Giza Diagonal (see figure 3 below), and so these pyramids were also carefully placed in relation to the position of the Sphinx, which already existed on the Giza plateau.

For example, it is a fact that the subsidiary pyramid referred to as “G3c,” being the furthest monument on the Giza Plateau from the Sphinx, is exactly 1,080 meters distant!

The number 1,080 is deeply significant and remains within the context of what we find encoded at Giza concerning the Precessional Cycle, because converted to years, the number 1,080 is a 1/24th subdivision of the precessional cycle of 25,920 years according the ancient Platonic estimate.

One can check the accuracy of this 1,080-meter distance by using the ‘Ruler Tool’ in Google Earth Pro, which is said to be accurate within an average ‘error margin’ of +0.0075%.

One will find that from the coordinates of the crown-head-center of the Sphinx (coordinates 29.975295°N, 31.137712°E), to the apex-center of “G3c” (coordinates 29.971639°N, 31.127340°E), is a ‘map length’ (“as the crow flies”) distance of exactly 1,080 meters.



The azimuth heading is 246.78 degrees . . . 270º subtract 246.78º = 23.22º.

Lastly . . .

From the coordinates of the crown-head-center of the Sphinx (coordinates 29.975295°N, 31.137712°E), to the apex-center of “G3a” (coordinates 29.971621°N, 31.128320°E), is a ‘map length’ distance of exactly 993.7639 meters, shown here as 99,376.39 centimeters for accuracy.

The azimuth heading is 245.70 degrees . . . 270º subtract 245.70º = 24.3º.

Summarizing the results . . .

Crown-head-center of Sphinx to apex-center of G3c . . . 22.14º

Crown-head-center of Sphinx to apex-center of G3b . . . 23.22º

Crown-head-center of Sphinx to apex-center of G3a . . . 24.3º

Notes and References

1. See: Origins of the Sphinx: Celestial Guardian of Pre-Pharaonic Civilization by Robert Schoch Ph.D., and Robert Bauval. (Inner Traditions/Bear & Company, 2017).

Quote:

2. As for the obliquity values of the oscillating Earth’s axis, some sources present estimates of 22.1º or 22.2º to 24.3º. For example, see Chemistry and the Environment by

Sven E. Harnung and Matthew S. Johnson, (Cambridge University Press, 2012), p. 356, and also the article, Nature Unbound I: The Glacial Cycle. (2016).

3. The Fine-Structure Constant, also referred to as the Coupling Constant and denoted as α (alpha), was originally named Sommerfeld’s Constant after the

German theoretical physicist, Arnold Johannes Wilhelm Sommerfeld (1868–1951), who introduced it in 1916 to account for the splitting of atomic spectral lines.

The fine-structure constant . . . 0.007297352566355, a dimensionless constant in physics and said to be the fingerprint or DNA of each wavelength of light, is the

result of 137.035999139 divided by 1, which has led to the number 137 itself being the most mystifying number known to physicists.

4. No one can deny that the number 256 is a special number. In computers, a byte represents 256 different values, in that a byte is defined as 8-bits and can

represent values from 0 to 255, or 2 to the power of 8 different values . . . this is because 256 is 2^8.

256 is also 16^2 (sixteen squared) and regarded as a perfect square. It is also the only three-digit number that is a Zenzizenzizenzic – 2 to the 8th power, described as

“the square of the square of the square of the square.”

See: Samuel Jeake (1701). A Compleat Body of Arithmetick. London: T. Newborough. p. 272.

The name Zenzizenzizenzic is based on the word Zenzic, which is a German spelling of the medieval Italian word censo, meaning “squared.”

See: “Zenzizenzizenzic - the eighth power of a number” by Michael Quinion.

The number 256 is also 4 x 64 and 8 x 32, numbers that relate to the sides of the Great Pyramid, and also, and theoretically, the 64 x 64 grid upon which the

Great Pyramid was drawn up during the initial ‘blueprint’ phase – a conclusion I had arrived at after studying the dimensions of the Great Pyramid.

Like the number 256, the number 56 is also very much related to the dimensions of the Great Pyramid.

For example, 8 (sides due to its concavities) x 7 (height) = 56. Also, the Great Pyramid height of 280 royal cubits ÷ 5 = 56. Furthermore, the north/south

cross-section base length of 440 royal cubits x 0.5236 meters = 340.384 meters, ÷ 56 = 4.114, ÷ 10 = 0.4114, which is the length of the half-base with a height of exactly

one royal cubit of 0.5236 meters . . . the 7 / 5.5 seked ratio.

The Great Pyramid north/south cross-section base length of 230.384 meters (precisely 280 royal cubits at 0.5236 meters each) divided by 73.304 meters (half height

of Great Pyramid at precisely 140 royal cubits) = 3.1428571428571429 ≈ π (pi) at 99.96% accuracy.

This is the same ‘approximation of pi result’ as we find with the 22 (base) / 7 (half-height) ratio of the Great Pyramid.

3.142857142857129 subtract 3 = 0.1428571428571429, x 32 = 4.571428571428571, x 56 = 256.

So, both the numbers of 256, and 56 are closely related to the dimensions of the Great Pyramid.  Fig. 5: From the crown-head-center of the Sphinx . . . (coordinates: 29.975295°N, 31.137712°E), to the apex-center of the subsidiary pyramid G3c (coordinates: 29.971621°N, 31.128320°E), is a precise ‘map length’ distance of 99,376.39 centimeters, which is 933.7639 meters. The azimuth heading is 245.70 degrees . . . 270º subtract 245.70º = 24.3º.

Fig. 6:  From the crown-head-center of the Sphinx (coordinates: 29.975295°N, 31.137712°E), to the apex-center of the three subsidiary pyramids produce the following angles: G3c 22.14º . . . G3b 23.22º . . . G3a 24.3º.



Fig. 1:  The Wandering Axis moving between 22.1 and 24.3 degrees and back again, over a 41,000-year cycle according to Milutin Milankovitch. Furthermore, the abstract line of the Giza Diagonal, which is strung between the apexes of the subsidiary pyramids referred to as “G3a” and “G1a,” is a distance of exactly 2,160 royal cubits (1,130.976 meters), and is divided into two equal distances of 1,080 royal cubits (565.488 meters) by the Equinoctial Line passing centrally through the length of the body of the Sphinx.

In addition to this, we also discover that the N/S Giza Meridian which runs through the center of the Great Pyramid (G1) “cuts” or divides the northern 1,080-royal cubits section of the 'Giza Diagonal' into two perfect equal lengths of 540 royal cubits (282.744 meters) each.

2,160 ÷ 2 = 1,080 ÷ 2 = 540.

However, returning to figure 2. What is also important to our enquiry here is the fact that the azimuth heading for the angle that connects the crown-head-center of the Sphinx to the apex-center of G3c, is 247.86 degrees . . . 270º subtract 247.86º = 22.14º.

Next . . .

From the coordinates of the crown-head-center of the Sphinx (coordinates 29.975295°N, 31.137712°E), to the apex-center of “G3b” (coordinates 29.971612°N, 31.127802°E), is a ‘map length’ distance of exactly 1,040 meters.

“Put simply, the seismic data are compatible with an initial date of circa 10,000 BCE (or even a bit earlier) for the core body of the Sphinx. There is no doubt in my mind that the seismic data alone, independent of any other evidence—such as surface weathering and erosion, which I discuss in chapter 7 — strongly support the hypothesis that the origins of the Great Sphinx predate dynastic times by many millennia.”

Professor Robert M. Schoch Ph.D. (Boston University Geologist).

Fig. 3: The Lehner-Goedicke Line or Giza Diagonal is 2,160 royal cubits in length, and is divided into two equal distances of 1,080 royal cubits by the Equinoctial Line running centrally through the body of the Sphinx, with the north section of the line also divided into two equal distances of 540 royal cubits by the N/S Giza Meridian, which runs through the center of the Great Pyramid of Giza.

Gary Osborn, August, 2017  Fig. 4: From the crown-head-center of the Sphinx . . . (coordinates: 29.975295°N, 31.137712°E), to the apex-center of the subsidiary pyramid G3b (coordinates: 29.971612°N, 31.127802°E), is a precise ‘map length’ distance of 1,040 meters.

The azimuth heading is 246.78 degrees . . . 270º subtract 246.78º = 23.22º.

This cannot be a coincidence, especially in light of the fact that from the head-center of the Sphinx (29.975295°N, 31.137712°E) to the center of the ancient site of Göbekli Tepe in modern-day Turkey (coordinates 37.222899°N, 38.922226°E), and which has been dated to the same period as the Sphinx, is a distance of exactly 1,080 kilometers, as revealed here.

What is extremely interesting is what I later discovered concerning the distances between the Sphinx and the apex-centers of all three subsidiary pyramids adjacent to G3.

Between G3c and the crown-head-center of the Sphinx is a distance of exactly 1,080 meters.

Between G3b and the crown-head-center of the Sphinx is a distance of exactly 1,040 meters.

Between G3a and the crown-head-center of the Sphinx is a distance of exactly 993.7639 meters.

Let’s add these three distances together:

1,080 + 1,040 + 993.7639 = 3,113.7639.

From the result, we then subtract 2,160 meters, which is 2 x 1,080 meters:

3,113.7639 – 2,160 = 953.7639.

We then divide 512 (2 x 256) from the result:

953.7639 / 512 = 1.8628201171875.

The first six digits of this result just happens to be the miles-per-second speed of light in a vacuum figure 186,282 divided by 100,000.

Furthermore, 1.86282 divided by 256 = 0.007276640625 – the first five digits of which are the first five digits in the number given to the Fine-Structure Constant    – the most mysterious number known in physics . . . 0.007297352566355, which is the result of 1 ÷ 137.035999139.

In fact, if we take just the numbers in the latitude coordinates of the crown-head-center of the Sphinx, (29.975295), multiply  these numbers by 256, and then divide the number 56 by the result,    we get an even closer value for fine-structure constant at six decimal places . . .

29.975295 x 256 = 7,673.67552.

56 ÷ 7,673.67552 = 0.00729767631 . . . an accuracy of 99.996 percent!





Strange Numerical Relationships

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