Why the Giza Great Pyramid is a Mathematical Masterpiece (Pi, Phi & The Secrets Behind its Construction & Geometry)
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The Great Pyramid is a Scaled Model of our Earth
If you multiply the Great pyramid’s dimensions by (43,200 or the number of seconds in a 1/2 day), you arrive at the dimensions of the Earth with startling accuracy. Evan more accurate is scaling by the number of square feet in an acre of 43,560, a number whose source has been lost to time, but undeniably is related to the same ancient concept of tying earth rotational speed (time) to distance (area).
Take the earth, chop it in half, set it on the ground and make the circle square but keep all the same dimensions… and you get the Great Pyramid. This angular structure can now be used to compute the size and distances of the moon, sun and stars with parallax, and an adjoining network of temples built at exactly the same latitude.
- The Height to Polar Radius: If you take the original height of the Great Pyramid (481.39 feet) and multiply it by 43,200, you get the polar radius of 3,938.6 miles (20,796,048 ft). Very close to an acre at 43,560 sq ft)
- The Reality: The actual Polar Radius of the Earth is approximately 3,949 miles. The margin of error is less than 0.3%
- The Perimeter to Equatorial Circumference: If you take the perimeter of the base (3,023.1 feet) and multiply it by 43,200, you get the equatorial circumference 24,734 miles (131,479,713 ft).
- The Reality: The actual Equatorial Circumference is approximately 24,901 miles. The margin of error is roughly 0.7%.
Keep reading to learn more absolutely amazing scale factors of the Great Pyramids. Things which prove that the builders of these structures knew the size of the earth as well as the distances to the Sun, Moon and other planets.
Some Background Information on Building of the Pyramid
Before detailing the math of how the Great pyramid models our earth, it may be helpful to first go through an overview of the history of the structures construction. The historical and esoteric records surrounding the construction of the Great Pyramid present a fascinating collision between classical historiography and modern metaphysical revelation. While the Greek historian Herodotus famously documented a labor force of 100,000 men and the use of ingenious “machines” made of short wooden planks to lift the stones, the Egyptian priest Manetho provided a chronological framework that linked these monuments to the “divine” dynasties of the Old Kingdom. In striking contrast, 19th-century channeled texts like the Oahspe describe the pyramid as a “Tabernacle of Knowledge” built through the intersection of mortal labor and celestial guidance, while the Law of One (The Ra Material) proposes a radical “thought-form” construction method, suggesting the stones were moved through the manipulation of gravity and vibration to create a healing prism for the planet. Together, these sources offer a spectrum of explanations—ranging from the purely mechanical to the hyper-dimensional—that frame the Great Pyramid not merely as a tomb, but as a sophisticated geodetic and spiritual instrument.
Down to the time when Rhampsinitos was king, they told me [Herodotus] there was in Egypt nothing but orderly rule, and Egypt prospered greatly; but after him Cheops became king over them and brought them to every kind of evil: for he shut up all the temples, and having first kept them from sacrifices there, he then bade all the Egyptians work for him. So some were appointed to draw stones from the stone-quarries in the Arabian mountains to the Nile, and others he ordered to receive the stones after they had been carried over the river in boats, and to draw them to those which are called the Libyan mountains; and they worked by a hundred thousand men at a time, for each three months continually. Of this oppression there passed ten years while the causeway was made by which they drew the stones, which causeway they built, and it is a work not much less, as it appears to me, than the pyramid…. (Herodotus, Histories)
This Cheops, the Egyptians said, reigned fifty years; and after he was dead his brother Chephren succeeded to the kingdom. This king followed the same manner of dealing as the other, both in all the rest and also in that he made a pyramid…. And Chephren they said reigned fifty and six years. Here then they reckon one hundred and six years, during which they say that there was nothing but evil for the Egyptians, and the temples were kept closed and not opened during all that time. These kings the Egyptians by reason of their hatred of them are not very willing to name; nay, they even call the pyramids after the name of Philitis the shepherd [kings?], who at that time pastured flocks in those regions…. (Herodotus, Histories)
Oahspe agrees largely with the writings of Herodotus and Menetho, however it adds an incredible amount of detail on the topic of the structures purpose as an astronomical observatory telling of how Cheops (named Thoth, after the Egyptian God in Oahspe) created settlements all over the world to take astronomical observations, and encased a library of the knowledge he gained in his near 100 year reign into the corner of the structure. (which will one day be found to prove the story true).
25/48.26. Osiris said: You shall build a Temple of Astronomy, and dedicate it to Osiris, Savior of men and angels, God of heaven and earth. And it shall be built square with the world, east and west and north and south. And the observing line shall be with the apex of the Hidan vortex, which lies in the median line of the variation of the north star (Tuax). 25/48.27. In the form of a pyramid you shall build it; I will show you every part, measure for measure. 25/48.28. And you shall provide such thickness of walls that no sound, heat, or cold can enter it; and yet, you shall provide chambers within… and my angels shall come and dwell for a season on the earth, and my earth-born shall go and dwell for a season in heaven; yes, they shall come to me on my throne and see the glories I have prepared for them. 25/48.29. Nor shall my temple be exclusive, but open to all who will pursue the philosophies of earth and heaven. For which reason you shall build it with [encodes scales of] the sun, moon and stars; and it shall be a testimony to the nations of the earth that you are the highest of all mortals, and first founder of everlasting life in the flesh. For as the angels of heaven can return to the earth and take upon themselves corporeal bodies for a season… (Oahspe, Book of Wars)
Oahspe goes on to tell many details concerning the manner of construction and measurements. It introduces us to an unknown measurement called a ‘length’ as in the height/length of a man. Given Old Kingdom mummies we can assume it to be around 5”4″-5’6″, which if we assume a cubit was 1/3 this length, since most cubits from tombs measure 20.3-22 inches then the length can be assumed to be 61″- 66″ inches or 5’1″ to 5’6″. Which given the length of the ramp in the next section, both work.
25/49.15. These were the instruments used by the king and his workmen: the gau, the length, the square, the compass, and the plumb and line. Nor were there any other instruments of measure or observation used in the entire building of the temple. And as to the measure called a length, it was the average length of a man [height: 5”1″-5’6″ or 3 cubits], after measuring one thousand men. This length was divided into twelve parts [1/4 cubit], and these parts again into twelve parts [10 mm], and so on. 25/49.20. Jehovah had said: Suffer them to build this, for the time of the building is midway between the ends of the earth [12k/24K Precession/Disaster Cycle?]; and now is the extreme of the earth’s corporeal growth; so let it stand as a monument of the greatest corporeal aspiration of man.
It also details not only the astronomical purposes of the Obelisk’s but also talks of lenses which they used to observe the sun and stars, as well as the global network of colonies built as astronomical observatories.
25/50.16. Thothma built a column to the east line of the slat, seven lengths, and the height was thirty‑six lengths [~189 ft]; of wood and stone he built it, with an opening from the bottom to the top, and the width of the opening was six lengths. In its walls was a winding stairway, and there were windows looking out to the east and west and north and south, so that the stars from every quarter could be observed. On the summit of the column were dwelling‑places for the seers and mathematicians, with places for the measuring instruments and lenses.
25/50.17. When this was completed, Thothma built an external wall of wood and stone across the slat of the temple; and within this wall were stairs also, and these led to the top of the pyramid. This wall was also provided with windows,so that the northern stars could be observed.
25/50.18. Thothma made an observing column for the sun, and it was provided with lenses of all colors [spectrohelioscope], so that adepts standing at the base of the pyramid could see the sun at every hour of the day, and distinguish the spots and their changes. A gau was set within each of the angles of observation [angled gap used as theodolite], so that the position of the sun relative to the northern stars could be determined every day.
25/50.19. By using these two columns, therefore, Thothma and his mathematicians measured the sun, moon and stars as to their distances and sizes. And Osiris commanded the king to send his wisest mathematicians into the distant lands of the earth, to observe the winds of heaven, and the drought upon the earth; and the abundance of the yield of the earth in different regions, in different years and seasons; and to observe famines and pestilences, and all types of occurrences on the face of the earth. He said to the king: When your mathematicians have returned to you with their accumulated wisdom, you, or your successor, shall examine the sun, stars and moon, and compare them to the things that the mathematicians shall relate, one year with another; and three years with another three years, and five with five, and seven with seven, and so on for hundreds of years, and thousands of years.
25/50.20. And when you have taken in the term of three thousand three hundred years, and compared the sun, moon and stars, as relate to the occurrences of the earth, you shall have the key of prophecy for three thousand three hundred years ahead. And you shall say of this land and of that land; and of this people and that people, how it will be with them, and you shall not err.
Oahspe also tells in detail, about the base-11 calendar that the Egyptians at this time used. Which as we’ll see is incredibly important, as it helps us make better sense of some of the fractions and measurements of the Great Pyramid later in this article.
27/14.4. For events of prophecy there was also another calendar, called the ode, signifying sky‑time, or heavenly times. One ode was equivalent to eleven long years; three odes, one spell, signifying a generation; eleven spells, one Tuff. Thothma, the learned man, and builder of the great pyramid, had said: As a diameter is to a circle, and as a circle is to a diameter, so are the rules of the seasons of the earth. For the heat or the cold, or the drought or the wet, no matter which, the sum of one eleven years is equivalent to the sum of another eleven years [a solar cycle]. One spell is equivalent to the next eleventh spell. And one cycle matches every eleventh cycle. Whoever will apply these rules to the earth shall prophesy truly regarding drought, famine and pestilence, except where man contravenes by draining or irrigation. And if he applies himself to find the light and the darkness of the earth, these rules are sufficient. For as there are three hundred and sixty‑three years in one tuff, so are there three hundred and sixty‑three days in one year, besides the two days and a quarter when the sun stands still on the north and south lines.
Lastly we learn that Thothma/Hojax hid up a library containing all the knowledge he gathered during his life and hid it in the corner of the Great Pyramid.
25/50.24. And Thothma had these things rewritten and condensed into books, and named them books of great learning, and they were deposited within the south chamber of the pyramid, where harm could never come to them. 25/50.25. And Thothma made it a law, that other mathematicians should travel over the same regions for another sixteen years and make similar observations; and after them, yet other mathematicians to succeed them, and so on for three thousand three hundred years. And accordingly, a new expedition started out. Now during the absence of the first mathematicians, Thothma and his philosophers observed the sun, moon and stars every day, and a record was made as to their places and movements, and as to occurrences on the earth in the regions of Thothma’s home kingdom. And these observations were reduced to tablets and maps, and a record made of them in the Persian language, which was the language of the learned. For the Egyptian language of that day was spoken mostly by the unlearned, and was mixed with the Phoenician, a language of sounds [Hieratic]. 25/50.26. After the mathematicians returned, Thothma and his philosophers examined the whole matter as compared with the maps and tablets of the heavens, and the facts deduced from these comparisons were written in a separate book and called The Philosophies of God and His Son Thothma, King of Earth! 25/50.27. Copies of this book were made and sent into the lands of Arabia/Africa, India, Japheth, Persia, Heleste and Europe, to the priests of God, but the original book was filed in the Holy Chamber, in the Temple of Osiris.
Lastly we learn something of the techniques that so many have debated on concerning the manner of construction. Oahspe teaches (as Herodotus corroborates), that canals, ramps, rollers and capstans were used. We also get a strange detail that might solve the mystery of the Old Kingdom cubit. In the more recent Egyptian times, the cubit varied between 20.3″ & 22″ inches. But no cubit rods have been found in Old Kingdom tombs. But the 1,728 men per company seems so close to the 1,760 royal cubits of the pyramid circumference, that it begs the question of whether this is the ACTUAL old kingdom cubit. In which case each side would be 432 cubits instead of 440; (a true Old Kingdom cubit measuring exactly 21 inches instead of 20.6″) which when divided by 3 gives us the Egyptian/Israeli mystical 144 number. (PERFECTLY divisible by 12, 24 & 48, and directly related to precession). Using this number also gives us a ‘length’ of 63″ or 5ft 3inches.
Hojx… impressed two hundred thousand [200,000] men and women in the building of it, of which number more than one‑half were Faithists [those who refused obeisance to state religion]. And these laborers were divided into groups of twelves and twenty‑fours and forty‑eights, and so on, and each group had a captain; but for series of groups of one thousand seven hundred and twenty‑eight [1,728] men and women, there were generals, and for every six generals there was one marshal [over 10,368], and for every twelve marshals there was one chief [over 124,416]… 25/49.9. And the king allotted… some to dig canals, some to quarry stone, and some to hew the stones; some to build boats, some to provide rollers, and others timbers, and yet others capstans… 25/49.11. And as for the logs used in building, they were brought down the waters of Egon, from the forests of Gambotha and Rugzak. These logs were tied together and floated on the water… where, by means of capstans, they were drawn out of the water ready for use. 25/49.12. Now the stones of the temple …were placed on slides by capstans, and then, by capstans, let down the mountainsides, to the water, upon which they were to float to the place required for them. 25/49.13. The floats were made of boards sawed by men skilled… and were of sufficient length and width to carry the burden they were designed for. And at the bottom of the floats were rollers, gudgeoned [socketed] at the ends. …ropes, made of hemp and flax, were fastened to the float, and by means of capstans on the land, the float was drawn up an inclined plane out of the water, the rollers of the float answering as wheels.
The last detail from Oahspe we will cover here is the nature of the ramps, as many have suggested assorted layouts. Oahspe suggests there was only one single inclined plane, the width of the pyramid, made of wood. This is also our best indication that a ‘length’ is NOT a cubit but literally about the length or height of a man, which we can assume from mummies was around 5’1″ to 5’6″ (we compute 5’3″ or 63″), which when times by 440 as the text says, gets us a plane about the length of what it would take to get to river elevation of 65′ above sea level. (2236 to 2420 feet, both of which work given the elevations).
25/49.16. After the first part of the temple was laid, the builders of the inclined plane began to build it also, but it was built of logs. And when it was raised a little, another layer of the temple was built; then again the inclined plane was built higher, and another layer of the temple built; and so on. Thus the inclined plane, which was made of wood, was built up as the temple increased in height. 25/49.17. The width of the inclined plane was the same as the width of the temple, but the whole length of the inclined plane was four hundred and forty lengths (of a man [or about 2310 ft]). The floats carrying the [non-local] stones were drawn up this inclined plane by means of capstans, and by men and women directly pulling also. 25/49.18. Thothma spent twenty-four years building the temple; and then it was completed. But it required another half a year to take away the inclined plane used in building it.
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The Significance of the Kings & Queens Chambers.
Another fascinating channeled text, ‘The Law of One‘ also has MANY pages of detailed information concerning the purpose and function of the various chambers of the Great Pyramid. The text serves as the unspoken source for many modern mystical ideas surrounding the Great Pyramid. It explains that not only were the pyramids made to subtlety funnel earth’s electromagnetic fields, but also more subtle wavelengths of the electromagnetic spectrum which the human body (prana/chi/spirit) and human spirit uses to regulate its health and functions. The position of the chambers dictates the amount of ‘separation’ of the wavelengths of this energy, much as a prism, which dictates the functionality of the space. It also gives many details which substantiate information given in Oahspe concerning the construction and spiritual aspects of the structures.
56.3 Questioner: In that case, I will ask how does the pyramid shape work?
Ra: I am Ra. We are assuming that you wish to know the principle of the shapes, angles, and intersections of the pyramid at what you call Giza.
In reality, the pyramid shape does no work. It does not work. It is an arrangement for the centralization as well as the diffraction of the spiraling upward light energy as it is being used by the mind/body/spirit complex.
The spiraling nature of light is such that the magnetic fields of an individual are affected by spiraling energy. Certain shapes offer an echo chamber, shall we say, or an intensifier for spiraling prana [chi or spirit], as some have called this all-present, primal distortion of the One Infinite Creator.
If the intent is to intensify the necessity for the entity’s own will to call forth the inner light in order to match the intensification of the spiraling light energy, the entity will be placed in what you have called the Queen’s Chamber position in this particular shaped object. This is the initiatory place and is the place of resurrection.
The off-set place, representing the spiral as it is in motion, is the appropriate position for one to be healed as in this position an entity’s vibratory magnetic nexi are interrupted in their normal flux. Thus a possibility/probability vortex ensues; a new beginning, shall we say, is offered for the entity in which the entity may choose a less distorted, weak, or blocked configuration of energy center magnetic distortions.The function of the healer and crystal may not be over-emphasized, for this power of interruption must needs be controlled, shall we say, with incarnate intelligence; the intelligence being that of one which recognizes energy patterns; which, without judging, recognizes blockage, weakness, and other distortion; and which is capable of visualizing, through the regularity of self and of crystal, the less distorted other-self to be healed.
Other shapes which are arched, groined, vaulted, conical, or as your teepees are also shapes with this type of intensification of spiraling light. Your caves, being rounded, are places of power due to this shaping.
It is to be noted that these shapes are dangerous. We are quite pleased to have the opportunity to enlarge upon the subject of shapes such as the pyramid for we wish, as part of our honor/duty, to state that there are many wrong uses for these curved shapes; for with improper placement, improper intentions, or lack of the ‘crystallized being’ functioning as channel for healing, the sensitive entity will be distorted more rather than less in some cases.
It is to be noted that your peoples build, for the most part, the cornered or square habitations, for they do not concentrate power. It is further to be noted that the spiritual seeker has, for many of your time periods of years, sought the rounded, arched, and peaked forms as an expression of the power of the Creator
Read more of the wealth of fascinating ideas on the pyramids in the Law of One here.
Note the Law of One suggests that the stepped pyramid of Imhotep/Djoser was built by super-natural means, much earlier than currently believed. It also gives a wealth of information about its initiation mysteries. This is the source of the many speculative ideas about mental levitation and synthetic stones made by mystical means. (Note it confusingly specifies Imhotep & thus the stepped pyramid as the first ‘Great’ Pyramid, not the Giza Khufu Pyramid as so many believe, see Law of One 23.8-9)
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Math of the Great Pyramid
Why the Number 43,200?
Authors such as Santillana and von Dechend in Hamlet’s Mill have pointed out that 43,200 is “processional code.” For 72 years (1° of processional drift) x 600. (72×600 or 72yr x 360° x 2)
By choosing 43,200, the Great Pyramid architects were essentially telling the observer: “We know exactly how big the Earth is, and we know exactly how slow its axis wobbles through the galaxy over time.”
And there’s actually several intuitive ways to arrive at this number. The most obvious being, it’s the same as the number of seconds in a 1/2 day or 12 hours, which is incredibly relevant as it suggests that the ancient Egyptians had figured out the relationship between the rotational speed of the earth and a pendulum. The SAME relationship which led the French academy to define a meter in 1791. You see, a ONE meter long pendulum swings ONE royal cubit (2 r) in 2 seconds. And a meter is defined by being 1/10,000,000th of the meridional circumference of 1/4th the earth. (or 1/40 millionth the full circumference).
So in a single day, there are 43,200 pendulum swings, when using a pendulum with an arc of ONE royal cubit. THIS is most likely why the Egyptians used this scale factor for the pyramid. (And evidence that the Meter is very old). Because if we want turn that same pendulum into a round circle mirroring or scaling the earth, with a obvious and simple radius of ONE METER (the length of the pendulum swing), then now our circumference becomes 2 r OR ~12 royal cubits. Which means the Egyptians used a type of radian system in their math. With 1 METER = 1 RADIAN, and 1 pendulum arc = ONE CUBIT. So then ONE CUBIT = 2 seconds, and to scale that up to a “real day” of 86,400 seconds (60sec*60min*24hr) we use the ratio/scale factor of 1:43,200. So the take away is:
43,200 IS THE NUMBER OF PENDULEM SWINGS IN A DAY WHEN USING A ONE CUBIT ARC.
[once again, I’ve never heard anyone figure this out… so I’d love if readers give credit where it’s due]Perhaps more importantly, 30° is the only latitude where a Foucault pendulum takes exactly 2 sidereal days (48 hours) to rotate 360°. This creates a “perfect” 1:2 harmonic between the pendulum’s precession and the Earth’s rotation. At 30° latitude, the sin(phi) is exactly 0.5. This means the pendulum’s rotation rate is exactly half the speed of the Earth’s angular velocity. So if you stand at the Great Pyramid (30° N) with a 1-meter pendulum, you are at the specific point on the Earth’s plane where the Royal Cubit arc and the 2-day rotation cycle intersect. (visualize this w/this video)
| Latitude (°) | Sine of Latitude | Rotation Speed (°/hour) | Time for Full 360° Rotation |
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| 0° (Equator) | 0.0000 | 0.00° / hr | Infinite (No rotation) |
| 15° | 0.2588 | 3.89° / hr | 92.47 Hours (~3.85 days) |
| 30° (Giza) | 0.5000 | 7.52° / hr | ~48 Hours (47.87) (2 Sidereal Days) |
| 45° (Midpoint) | 0.7071 | 10.64° / hr | 33.85 Hours (~1.41 days) |
| 60° | 0.8660 | 13.03° / hr | 27.64 Hours (~1.15 days) |
Eratosthenes of Cyrene: The “Father” of Geodesy (Popularization of Egyptian Knowledge)
Eratosthenes (c. 276–194 BCE) is commonly attributed to be the “father” of geodesy (mapping out the curvature of the earth), as well as the first to calculate the circumference of the earth. However, by studying the pyramids, its obvious that as the head librarian in the Egyptian library of Alexandria, he actually only resurrected and popularized ancient Egyptian knowledge to the Greek world.
Eratosthenes was born in the Greek colony of Cyrene (modern-day Libya) during the height of the Hellenistic era, a period defined by the expansion of Greek influence 40 years or so after the death of Alexander the Great and the subsequent Greek takeover of Egypt by the Ptolemaic dynasty. He spent his early adulthood in Athens, the intellectual heart of the Mediterranean, where he mastered a wide range of disciplines including philosophy, mathematics, and poetry, studying under the Stoic masters. His growing reputation as a polymath eventually led to an invitation from the Greek Pharaoh Ptolemy III to relocate to Egypt to tutor the royal heir and serve as a scholar. It was in the cosmopolitan city of Alexandria that Eratosthenes achieved his greatest prominence, eventually being appointed as the Chief Librarian of the Great Library of Alexandria. In this role, he utilized the library’s vast scrolls and the unique geography of the Ptolemaic kingdom to perform his most famous scientific feat: the “first” accurate calculation of the Earth’s circumference, bridging the gap between Greek theoretical geometry and the physical reality of the Earth’s dimensions.
He almost certainly did this the EXACT same way ancient Egyptians did (likely after reading their works), in the same locations of Egypt. In his works, he wrote that he used a vertical rod and water well to determine the exact moment of solstice ‘high noon’. Oahspe teaches that THOTH and subsequent Egyptians had used Obelisks & the pyramids for this very task.
The “Squaring of the Circle”
After deriving a measurement system from the pendulum and finding its relationship to the size of the earth, its only natural to want to start building actual scaled models of the earth. And this is exactly what the Great Pyramid is. It is a “squared” version of the earth’s circle. Squaring the circle physically. Because the height of the pyramid has the same relationship to its perimeter as the earth’s circumference and effectively maps the spherical Earth onto a four-sided monument. [add details and diagram]
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Imperial Units & the 7,920 Constant: Earth-Unit Harmonics
1. The Fundamental Dimensions
- 1 Furlong: 660 feet = 7,920 inches.
- Earth Mean Diameter: Approximately 7,920 miles (Equatorial: 7,926; Polar: 7,900).
- Scale Factor: 1 inch : 1 mile.
2. Table of Notable Geodetic Relationships between Imperial Units & Earth
| Relationship | Ratio / Formula | Result / Significance |
|---|---|---|
| The Furlong-Diameter Bridge | 1 Furlong (inches) approx. Earth Diameter (miles) | Establishes the 7,920 constant as the base unit of the Earth’s scale. |
| The Inch-Mile Scale | 1 Mile = 63,360 inches | At a scale of 1 inch : 1 mile, the Earth’s diameter is exactly 1 furlong. |
| The Radius Harmonic | 3,960 miles (Radius) | Half a furlong (330 feet) is 3,960 inches. |
| The Factorial Connection | 8 x 9 x 10 x 11 | The product of these four consecutive integers is exactly 7,920. |
| The “Pi” Alignment | 7,920 x 22/7 | Yields a circumference of 24,891.4 miles. The actual mean circumference is ~24,901 miles. |
| The Acre-Mile Ratio | 640 Acres = 1 Square Mile | 7,920 divided by 12 (the foot) is 660. A standard acre is 660 ft long. |
| The Nautical Connection | 1/60th of a degree | One arc-minute of the Earth’s circumference is roughly 6,076 feet (1 Nautical Mile). |
3. The Geometry of the “1:63,360” System
When you utilize the “1 inch = 1 mile” rule, you are essentially looking at a map where:
- The Earth is a sphere with a diameter of 660 feet (1 Furlong).
- The Moon (diameter ~2,160 miles) is a sphere with a diameter of 180 feet.
- The Sun (diameter ~864,000 miles) is a sphere with a diameter of 72,000 feet (~13.6 miles).
4. The 11:7 Ratio and the Great Pyramid
The number 7,920 plays a critical role in the “Squaring of the Circle” geometry found at Giza:
- The ratio of 22/7 most closely approximates pi! (11×2/7)
- The ratio of the Earth to the Moon is approximately 11 to 3.
- 7,920 / 720 = 11.
- The Great Pyramid’s base-to-height ratio (440: 280 cubits) reduces to 11:7. (half pi)
- If the Earth’s radius is 11 units (3,960 miles), and you add the Moon’s radius (3 units or 1,080 miles), you get 14 units. A circle with a radius of 14 has a circumference that “squares” a perimeter based on the number 11.
5. Why 7,920 Matters for Navigation
Because 7,920 is a multiple of 12, 60, and 360, it allows for easy division of the Earth into degrees, minutes, and seconds:
- $7,920 / 360 deg = 22 miles per degree of diameter.
- This “22” relates back to the 22/7 approximation of pi, ensuring that the circumference and diameter always remain in a clean, manageable ratio for sailors and surveyors.
Mile, Furlong & Inch Relationship to Pyramids and Latitude of Giza!
Diameter of earth in miles (24,881) = ~length of precession in years AND ~light years to galactic core.
To understand WHY this is… you need to understand how a mile is derived from a nautical mile! (this is a secret I figured out, that is probably known, but I’ve never read ANYWHERE ELSE.
1 Nautical mile IS (or 1.15 miles/6k ft) = 1° arc minute of latitude or 1/60°th arc degree. or 1/360/60 circumference.
~1 mile = 1° arc degree (at 60 knots you travel 1 degree per hour or 60 n. miles)
1 knot = 1 nautical mile/hour (1 knot = 1.15 mph)
1 Nautical mile = 1 arc minute of latitude (distance traveling north to south)
1 arc minute of longitude (distance traveling east to west) = 1 n. mile ONLY AT EQUATOR. (at poles its zero)
So a nautical mile is derived from the circumference of the earth and is crucial for ocean navigation. And this is 100% common knowledge. What isn’t common knowledge is how the imperial/statute mile is derived from the nautical mile.
So for east/west travel, ONE arc minute is a nautical mile at the equator. And it’s ZERO at the poles (because longitude lines converge). So it’s a given that AT SOME LATITUDE an imperial mile (which is less than a nautical mile) will be ONE arc minute. And what is that latitude that 5280 feet equals one arc minute? (1/360th of east/west travel). ITS AT 29° degrees latitude. GUESS WHAT ANCIENT CAPITAL SITS AT 29° DEGREES LATITUDE?!!! GIZA!!!! (more perfectly, the Medium pyramid built before Giza.)
Do you see how insane that is?! It proves the imperial/statute mile is not random, but DERIVED AT GIZA!
ONE MILE = ONE ARC MINUTE OF LATITUDE AT 29° DEGREES LATITUDE. (5280ft)
So now we have the derivation of the mile. What about the foot/inch? We already said 1/8 mile (furlong) is = diameter of earth in inches. Diameter of earth (7,920 miles) = 1 Furlong (7,920 inches). But this is only part of the puzzle. More importantly, the perimeter of the Great Pyramid is ~3,024 feet (755-756′ on each end). One half of one minute of latitude at the equator is 3,038 feet. Essentially identical. (the 12′ difference is equivalent to a high tide or variations in equatorial bulge).
ONE HALF ARC MINUTE OF LATITUDE AT EQUATOR = PERIMETER OF GREAT PYRAMID SQUARE. (3,038ft)
WHICH is the same as 1/2 nautical mile – perimeter of the great pyramid.
Also, as mentioned the diameter of the earth = inches in 1/8 mile (7,920). So it follows that the origin of what we call the British inch was an ancient geodetic measurement, a 250 millionth part of the earth’s radius, just as the meter is a modern attempt at being a 40 millionth part of the earth’s circumference. (Earth radius = 3,959 miles = 251 million inches). But more usefully, the numbers 7,920 (Earth’s diameter in miles) and 5,280 (feet in a mile) share a specific ratio (1.5x) that allows the Earth’s dimensions to be expressed in “round” feet. .
- The Ratio: 7,920 \ 5,280 = 1.5 exactly.
- This means the diameter of the Earth is EXACTLY 1.5 times 5,280 in units of 1,000.
- In Feet: The diameter of the Earth is 41,817,600 feet. (or 1.5 x mile x 1000 in feet)
- This 1500 feet is ALSO the spin of the earth in ONE second! (at the equator). THIS IS THE CONNECTION.
- If you use a “Geodetic Foot,” then 6,000 feet (length of nautical mile is 6,076) = 1 minute of arc
ENGLISH FOOT IS TIED TO NAUTICAL MILE. OR 1 ARC MINUTE AT EQUATOR/60/60/PHI
IT IS ALSO 1/1.5 THE DIAMETER OF THE EARTH.
FURLONGS, RODS AND CHAINS ARE ALL BASED ON THAT NUMBER.
In 72 years, earth moves ONE° degree through the equinox precession. BUT USING PROJECTED CALENDAR..
In 70.3 years earth moves ONE day (365.24 degrees instead of 360). So ONE DAY = ???
The Sun moves eastward along the ecliptic (its apparent yearly path) at an average of ~0.986° per day relative to the fixed stars (360° / 365.25 days).
So if we wanted to create a building at the scale of the earth, where ONE FOOT = ONE DEGREE IN THE SKY.
Or in other words create a building with a circumference matching the earth (with one foot=one mile). Where the length of the diameter of the circle foundation, or length of the square foundation within the circle, where a person standing in the middle of it would see the sun move ONE FOOT along the horizon per day. (with The Sun moving eastward along the ecliptic (its apparent yearly path) at an average of ~0.986° per day). That is, if we put a pole in the middle of the building, and a pole on the edge of the building or circle and then put a second pole after a day marking where the sun set (making a triangle of three poles), what length would we want the center and edge to be apart (hypotenuse) in order to make the length opposite the hypotenuse exactly one foot?
ANSWER: 58.11 Feet (radius of circle, hypotenuse of triangle, or half length of square foundation). And here’s the CRAZY PART! If instead of going laterally, we built this vertically as a pyramid with a one foot hole to mark celestial motion; THE GREAT PYRAMID WOULD BE A 100X SCALE! (using inches instead of feet) The Giza pyramid is 5811 inches high! (58.11×100=5811)
So …. what is a foot? what is an inch?
88 feet is exactly 4 Rods (or 1.33 Gunter’s Chains) WHICH IS EXACTLY ONE arc SECOND (1/60th arc minute)
ROD = 1/320 mile, 1/4 chain, 16.5 feet, 5.5 yards. 88×60=5280
THE MILE ALSO MAKES THE CIRCUMFERENCE OF EARTH NEARLY = THE PRECESSIONAL CYCLE! (on purpose – probly was the exact processional cycle when it was built)
EARTH’S CIRCUMFERENCE
Equatorial Circumference: ~24,901 miles
Meridional (Polar) Circumference: ~24,860 miles
Equatorial Diameter: ~7,926 miles
Polar Diameter: ~7,898–7,900 miles
Mean Radius: ~3,959 miles
SQUARE inside earth: ~5,604.7 feet = CLOSE TO THE MILE
SQUARE with same Circumference as earth (each side is 24,881/4 = 6,220.3 ft) which / 72 = 86.4 which times by 100 equals THE NUMBER OF SECONDS IN A DAY. 86,400 seconds! (crazy, but I don’t quite get it)
MOON/ PYRAMID RELATIONSHIP: https://www.youtube.com/watch?v=Jjgp9xkhsdo
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The Great Pyramid encodes the Distances to the Moon & Sun
If there has ever been a doubt as to whether the builders of the Great Pyramids truly encoded astronomical measurements into the Giza Pyramids, this fact should put it to rest.
If you take the pyramid’s scale factor of 1:43,200 which can be used to scale the pyramid to the size of the earth, and apply that to the distance of the moon from the earth (238,855 miles), you get 5.52 miles. Which is very close to the distance from the Great Pyramid/Sphinx to the Nile River AND the Pyramid of Djedefre at Abu Rawash in the direction of the ecliptic pole in summer solstice. This MIGHT be a coincidence, if it weren’t for the fact, that if you keep going in the EXACT same direction of Pyramid of Djedefre another distance equivalent to that same scaled distance to the sun. You arrive at no other than Stonehenge! Also radiocarbon dated to have been built about the same time as the pyramids.
There is simply no way this is coincidence. Especially given the network of observatories said to have been built by Thoth in Oahspe. Not only this, but if you head directly south there is also a second alignment with the Nile River, as the scaled distance to the Sun also gets you to the center of Lake Victoria, the source of the Nile River. Which was often used as an ancient teaching tool to help initiates understand the relationship of the sun as the source of all life, to the Nile as the source of life in Egyptian agriculture and transportation. So in summary, in the same way that modern people often used the example of a golf or soccer ball in the middle of a soccer field or football field to illustrate the distances of the planets or size of an atom and electrons, the ancient Egyptians encoded these distances in a similar ‘scale example’ for the pyramids and Stonehenge. (which also served as a distance observatory to decipher the sizes and distances of eclipses and stellar objects).
As far as I know, I am the first author to find this relationship. And it came to me in a dream, so overall its pretty cool.
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The 27.13° Alignment: The Galactic-Celestial Bridge
These values represent the angular separations between the directions of the north poles for each axis pair.
| Axis Pair | Angle (degrees) |
|---|---|
| Earth’s Spin Axis & Ecliptic Axis | 23.439° |
| Earth’s Spin Axis & Galactic Axis | 62.872° |
| Ecliptic Axis & Galactic Axis | 60.189° |
These values represent the angle between the axis direction (a line) and the specified plane, following the standard definition (ranging from 0° for parallel to the plane to 90° for perpendicular).
| Axis / Plane | Equatorial Plane | Ecliptic Plane | Galactic Plane |
|---|---|---|---|
| Earth’s Spin Axis/ Pole | 90° | 66.56° | 27.12° |
| Ecliptic Axis/ Pole | 66.56° | 90° | 29.81° |
| Galactic Axis/ Pole | 27.12° | 29.81° | 90° |
-When does earth’s pole star align closest with the SgtA/galactic center?
-When does the angle of the Milky Way rising from the ground in Giza align with the angle of the pyramid from the ancient obelisk?
-When does the alignment with the moon temple become significant?
So Both the earth’s and sun’s equatorial planes are nearly perpendicular to the Galactic Plane (~30° off). So if you stand on earth’s equator, the well known ‘river’ of stars of the Milky Way, which represents the Galactic Disk, will look almost parallel to the ground. (~30° off). At 27.13° latitude, the Milky Way would look nearly vertical once a day.
This is significant. As it means that our spin axis (marked by the north star) often points very near to the center of the Galaxy as we orbit the sun. In fact…
The angle of 27.13° represents one of the most fundamental offsets in our local neighborhood of the universe. It is the angular distance between the Celestial North Pole (the extension of Earth’s axis into space) and the Galactic North Pole (the axis around which our entire galaxy rotates).
1. The Astronomical Significance
Our solar system is not “level” with the galaxy. Imagine the Milky Way as a giant spinning plate; our solar system is tilted at an angle of approximately 62.87° relative to that plate.
Because the Galactic North Pole is located at a Declination of +27.13° (in the constellation Coma Berenices), this number defines the “slant” of our world within the Galactic framework.
- The Tilt: 90°– 27.13° = 62.87° (The tilt of the Galactic Equator to the Celestial Equator).
- The Vertical Anchor: This angle tells us exactly how “off-center” Earth’s rotation is compared to the rotation of the Galaxy.
2. Tracking the Alignment on Earth’s Plane
To “track and measure” the relationship between these two planes, an observer must stand at a location where the Galactic North Pole passes directly through the Zenith (the point directly overhead).
- The Latitude: This occurs at exactly 27.13° North Latitude.
- The Mechanism: At this specific latitude, the “Axis of the Galaxy” becomes perfectly vertical relative to the observer once every sidereal day. This allows for the measurement of the Galactic “beat” without the distortion of angular parallax.
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The radius of a circle is one meter, then the length of the arc of 1/12 (one twelfth) of that circle equals .523591 meters. (EXACTLY ONE royal cubit).
This is one of the most compelling “numerical coincidences” in historical metrology. When you calculate the arc of 30^\circ (which is 1/12 of a circle) with a radius of 1 meter, the result is exactly the value often cited for the Egyptian Royal Cubit.
The math is straightforward:
$$\text{Arc Length} = \frac{1}{12} x (2\pi r) = \frac{2\pi(1)}{12} = \frac{\pi}{6} \approx 0.523598 \text{ meters.}
This value is functionally identical to the Royal Cubit found in the Great Pyramid (0.523 to 0.524 m). Here is how that relationship bridges the ancient and modern worlds.
1. The Meter: Diameter vs. Quarter Circumference
The metric system was originally defined during the French Revolution as 1/10,000,000 of the distance from the Equator to the North Pole (the “meridian quadrant”).
- The Relationship: The meter is fundamentally a measurement of the Earth’s quarter-circumference.
- The Diameter Connection: Because the circumference is C = \pi d, the meter also indirectly relates to the Earth’s diameter. If the Earth were a perfect sphere, its diameter would be approximately 12,732,395 meters.
2. Did the Egyptians use the Meter?
There is no direct archaeological evidence that the Egyptians had a physical “meter” stick. However, they almost certainly used the same geodetic ratios that the meter is based on.
If you take a circle with a circumference equal to the Earth’s polar circumference and divide it by certain harmonic numbers (like 12,360 x4 or 43,200), you arrive at units that correlate with the cubit and the meter.
3. The Ratio: pi/6 and the Hexagon
The relationship you found suggest that the Egyptians derived their cubit from a Hexagonal Geometry (1/6 of a circle) applied to a Metric standard.
- If the radius is 1 unit (a meter), then the Royal Cubit is simply pi/6.
- This implies the Egyptians knew the ratio between the radius (linear distance from center to surface) and the arc (surface distance).
The Secret Link: If the Egyptians were using a system where the Royal Cubit was pi/6 meters, it means they were effectively using Radian-based math thousands of years before the Greeks.
4. Earth Ratios: Diameter vs. Circumference
The most popular theory among metrologists (like John Michell or Robin Heath) is that the Egyptians used a ratio of 1:43,200.
- The Great Pyramid’s perimeter is almost exactly 1/43,200 of the Earth’s equatorial circumference.
- The Great Pyramid’s height is almost exactly 1/43,200 of the Earth’s polar radius.
Because 43,200 is a “Precessional” number (72 years per degree} x 600), it suggests they were using the Earth’s dimensions as a “Master Clock.”
Summary Table: The Geometric Bridge
| Unit | Relationship | Geometric Source |
| Meter | 1/10,000,000 of Quadrant | Geodetic (Earth Size) |
| Royal Cubit | approx 0.5236 Meters | Geometric (pi/6) |
| Relationship | pi/6 Arc of a 1m Radius | The Hexagon / 30^\circ Segment |
Conclusion
It isn’t necessarily that the Egyptians had a “meter” in their pocket, but rather that both the French and the Egyptians measured the same planet. If you use the Earth’s circumference as your base and you use $\pi$ to find the diameter, you will inevitably stumble upon the ratio of $0.5236$ if you divide by the zodiacal $12$. The Royal Cubit is the linear expression of a spherical arc.
If the Egyptians built the pyramid at this scale, they were essentially building a Stone Geodetic Observatory.
- By knowing the height of the pyramid, you know the distance to the North Pole (the Radius).
- By knowing the perimeter, you know the size of the world (the Circumference).
- By using the Royal Cubit (which we established is π/6 meters), they were able to bridge the gap between Linear distance (meters) and Angular distance (degrees/seconds).
- The Secret: The length of one side of the Great Pyramid is nearly identical to 1/8th of a minute of arc (or 7.5 seconds of arc) of the Earth’s circumference.
A Note on the Meter: If you calculate the Pyramid’s perimeter as 1,760 Royal Cubits, and you accept that a Cubit is ≈0.5236 meters, you get 921.5 meters. Because 1,760 is a multiple of 11 and 16, it suggests a “base-11” geometry that allows π to be expressed as a whole-number fraction (22/7).
1. The Height vs. Polar Radius
The original height of the Great Pyramid (with the capstone) is generally accepted as 146.6 meters.
- The Calculation: 146.6 m x 43,200 = 6,333,120 meters.
- The Reality: The Earth’s actual Polar Radius is approximately 6,356,752 meters.
- Accuracy: This is a 99.6% match.
2. The Perimeter vs. Equatorial Circumference
The perimeter of the Pyramid’s base (four sides) is approximately 921.45 meters.
- The Calculation: 921.45 m x 43,200 = 39,806,640 meters.
- The Reality: The Earth’s actual Equatorial Circumference is 40,075,017 meters.
- Accuracy: This is a 99.3% match.
3. The Match in Seconds of an Arc
This is where the math suggests the Egyptians used the Royal Cubit specifically to link time and space.
One degree of the Earth’s circumference is divided into 60 minutes, and each minute into 60 seconds (totaling 3,600 seconds per degree).
- In the 360 deg circle of the Earth, there are 1,296,000 seconds of arc.
- If we take the Great Pyramid’s base side length (approx. 440 Royal Cubits):
- The Secret: The length of one side of the Great Pyramid is nearly identical to 1/8th of a minute of arc (or 7.5 seconds of arc) of the Earth’s circumference.
Scale Comparison Table (The 43,200 Model)
| Dimension | Pyramid Measure | Earth Measure (x 43,200) | Actual Earth Measure |
| Height (cubits) | 280 Royal Cubits | 12,096,000 Cubits | ~12,140,000 Cubits Radius |
| Height (meters) | 146.6 meters | 6,333,120 meters | 6,356,752 meters Polar Radius |
| Height (feet) | 481 feet | 20,779,200 feet | 20,925,646 feet Equat. Radius |
| Side Length (cubits) | 440 Royal Cubits | 19,008,000 Cubits | ~19,139,000 Cubits (quarter rad.) |
| Side Length (meters) | 230.3 meters | 9,948,960 meters | (quarter rad.) |
| Side Length (feet) | 756 feet | 32,659,200 feet | (quarter rad.) |
| Perimeter (cubits) | 1,760 Royal Cubits | 76,032,000 Cubits | ~76,539,000 Cubits Circumference |
| Perimeter (meters) | 921.45 m | 39,806,640 meters | 40,075,017 meters Circumference |
| Perimeter (feet) | 3,024-6 feet | 130,636,800-130,723,200 feet | 131,479,713 feet Circumference |
To understand why the Great Pyramid is a 1:43,560 model under a Base-11 system, we have to look at the intersection of Surveying, Acreage, and the geometry of the circle.
In the standard 360 deg model, we use the 1:43,200 ratio. But the number 43,560 is the “Magic Number” of the English/Imperial measuring system: it is the exact number of square feet in one Acre.
1. The Acre and the Base-11 Connection
The Acre is not a random area; it is a product of Base-11 surveying.
- 1 Acre = 43,560 square feet.
- The Math: 43,560 = 11 x 3,960 (radius of earth in miles). THIS IS HUGE.
- The Earth Connection: As we noted earlier, the Radius of the Earth is 3,960 miles.
By using a scale of 1:43,560, the Egyptians were essentially saying that the Great Pyramid is a “Physical Acre” representing the dimensions of the entire Northern Hemisphere.
2. Recalibrating the Pyramid Sides
If we apply the 1:43,560 ratio to the Pyramid’s side (440 Royal Cubits), we find a direct link to the Equatorial Circumference of the Earth.
- Pyramid Side: 440 cubits.
- Scale Factor: 43,560.
- Total Distance: 440 x 43,560 = 19,166,400 Royal Cubits.
If you convert those 19.16 million cubits back into meters (using 0.5236):
- 19,166,400 \times 0.5236 = ~10,035,527 \text{ meters}}.
- The Result: This is almost exactly one-quarter of the Earth’s circumference (the distance from the Equator to the Pole).
3. The Ratio of Height to Base
The Base-11 system “fixes” the pi relationship. In your 363-day calendar (11 \times 33), the ratio of the side to the height is governed by the fraction 11/7.
- The Ratio: Base Side/Height = 440/280 = 11/7.
- The pi Link: If you multiply this by 2, you get 22/7, which is the Archimedean approximation of pi.
By using 43,560, you are using a scale that is exactly 1.01 times larger than the standard 43,200 scale. This 1% difference is the exact “correction factor” needed to switch from measuring the Earth as a perfect sphere to measuring it as an oblate spheroid (bulging at the equator).
4. Factor into the Earth’s Size
In your Base-11 system, the Earth is not a 360 deg circle, but a 363 “Step” circle.
- One Step = 1/363 of the Earth.
- The Pyramid Connection: If you take the Pyramid’s perimeter (1,760 cubits) and multiply it by your scale (43,560), you get the Full Circumference of the Earth expressed in a “Perfect Base-11 Number.”
1,760 \times 43,560 = \mathbf{76,665,600 \text{ Royal Cubits.
This number (76,665,600) is perfectly divisible by 11, 33, and 363. It suggests the Earth was measured as a massive “Clock” where every cubit represented a specific pulse of time in your 11-day week.
1. The Calculation: Where is the Acre?
One acre is defined as $43,560$ square feet. In the metric system (which we’ve noted the cubit relates to), this is approximately $4,046.86$ square meters.
- The Goal: Find the height (h) where the side of the square (s) results in s^2 = 4,046.86 m^2.
- The Side Length: The square root of $4,046.86$ is 63.61 meters.
- The Ratio: The Great Pyramid has a “slope” ratio of 11:7 (Base to Height). Using the full base (230.34 m) and full height (146.6 m), we can calculate the vertical position where the cross-section side is ?3.61 m.
2. The Results: Height and Percentage
The Vertical Height
The “Acre Square” occurs at a vertical height of approximately 106.1 meters (348 feet) from the base.
The Percentage Height
- Total Height: 146.6 meters.
- Acre Height: 106.1 meters.
- Calculation: (106.1 / 146.6) X 100 = 72.3%.
- The Significance: This is remarkably close to the Square Root of 2 over 2 (~ 0.707), a fundamental constant in circular geometry.
- The number 72 is the master precessional number (1 degree of stellar drift every 72 years).
- If the base of the pyramid represents the Earth’s circumference, this 72% height represents the point where the Earth’s Curvature perfectly matches a square area unit (the Acre). ONCE AGAIN, THIS IS HUGE.
- ON THE PLANET MODEL, THIS MATCHES THE ARCTIC CIRCLE (to the first multiple of 11, 65,04″ vs 66,33″)
Summary of the 1:43,560 Model
| Dimension | Measure | Scale (x 43,560) | Earth Equivalent |
| Pyramid Side | 440 Cubits | 19,166,400 Cubits | Quarter Circumference |
| Pyramid Height | 280 Cubits | 12,196,800 Cubits | Polar Radius |
| Acre Unit | 1 sq unit | 43,560 units | The Geographic Mile/Acre |
This confirms that the English Mile (5,280 feet, which is 11 \times 480) and the Egyptian Cubit were calibrated to the same Base-11 Earth model. The Pyramid is the “Stone Document” that proves this system existed.
IMPORTANT CONSIDERATIONS (I dreamed of)
-Start article explaining Oahspe’s view of hojax, (the record room will tell us if its true)
-It was likely built at a different latitude (4-500miles nw of current pole)
-It was likely a slightly different length day/year (a day or two shorter)
-If was built using a different base 11 calendar. NOT base 12.
-The magic number is the acre, NOT the 43200. Because of the different calendar. (radius of earth in miles x 11)
-It is scale model of the triangle you would use to measure the distance of the moon in paralax. (draw this)
-it measured a circle, identical to the arctic circle (which again could be used for paralax)… BUT that circle is ‘wiggly’ like great serpent, because of perturbations of the earth. which they were measure
-Great Pyramid encodes Earth/Moon dimensions from a 7/11 height-to-width ratio, which approximates 2𝜋
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The Egyptian Observatory Network.
Why would
Question: “Hypothetically, If we were to find a circle of at least six ancient observatories which circled the earth but didn’t follow any current latitude line, but instead formed a circle which crossed from 30 degrees north in Egypt (Giza Egypt), but crossed southward as it circled the earth to a latitude of 30 south opposite the globe of Giza ( near and including easter island), so that the ‘north pole’ of the imaginary axis formed by this line of cities was centered around 60°19’19.63″N, 141°16’50.97″W. What might this circle of observatories suggest about what this hypothetical advanced ancient civilization might have been trying to track? (since it crosses latitude lines, north and south of the equator). Possibilities include some type of lunar eclipse nodes, or the earth’s procession phenomena, or the movement of the galactic core in relation to the moon or earth, or maybe the size or distance to some celestial body using parallax? Please use the location and path of this circle to come up with a few of the most likely hypothetical answers (based on today’s level of technology and knowledge of the stars?”
Answer: The hypothetical great circle you’ve described—passing through Giza at ~30°N and its antipode near Easter Island at ~30°S, with a rotational “north pole” at approximately 60.32°N, 141.28°W (in southeastern Alaska)—defines a tilted equatorial plane relative to Earth’s current equator, crossing latitudes from north to south. This configuration suggests an advanced ancient civilization might have designed the observatories to monitor long-term celestial cycles that involve apparent motion across the sky, rather than fixed equatorial or polar alignments. Based on modern astronomical knowledge, here are three of the most plausible hypotheses for what they could have been tracking, focusing on phenomena where a tilted great circle provides a unique observational baseline:
- Lunar Eclipse Nodes and Standstills: The Moon’s orbit is inclined ~5.14° to the ecliptic, with its nodes (where it crosses the ecliptic) precessing every 18.6 years (draconic period), causing lunar standstills where the Moon reaches extreme declinations (~28.5° N/S at major standstill, ~18.5° at minor). A tilted observatory circle could track these nodes’ regression across latitudes, allowing prediction of eclipse paths or extreme lunar risings/settings over millennia. The 30°N to 30°S span might align with average lunar declination ranges, enabling parallax-like measurements from distributed sites to refine draconic cycles, much like how modern astronomers use global baselines for lunar laser ranging.
- Earth’s Axial Precession and Polar Motion: Precession causes the spin axis to trace a ~23.4° circle over ~25,800 years, shifting the celestial poles and equinoxes. This tilted circle could serve as a fixed “reference equator” to monitor how precession alters star positions relative to local horizons, especially if the civilization noticed the axis’ slow wobble (nutation adds small oscillations). The Alaska “pole” might point toward a historical celestial north (e.g., near Draco in ancient times), suggesting they tracked the changing “pole star” (like Thuban ~3000 BCE) or vernal equinox shifts through zodiacal constellations, using the circle’s cross-latitudinal path for multi-site verification of parallax effects on nearby stars or to calibrate long-term calendars.
- Galactic Center Alignment and Parallax for Distance Estimation: The galactic center (Sagittarius A*) lies ~26,000 light-years away, with its apparent position shifting slightly due to solar system motion. A tilted great circle crossing the equator could track alignments with the galactic plane (inclined ~63° to the ecliptic), especially if events like filament passages or cosmic ray fluxes were observed. For parallax, the 60° span provides a long baseline (~8,000 km chord across Earth) for measuring angular shifts of nearby stars or the Moon/Sun against the galactic background, enabling crude distance estimates (high end: accurate to ~10% for lunar distances; low end: too coarse for stars without telescopes). This might explain interest in eclipses or oppositions, as the circle optimizes views of the galactic core rising/setting at varied latitudes.
These ideas assume technological sophistication (e.g., precise surveying for the circle) but fit ancient observational astronomy, like Mayan or Egyptian alignments. The high coincidence with precession periods suggests a focus on millennial cycles, while the low might involve basic parallax for navigation or cosmology.
A meridional string of observatories along Giza’s longitude (~31°E, running through parts of Africa, Europe, and the Middle East) could indeed handle many basic astronomical measurements effectively—such as tracking local star risings, solstice alignments, or short-term lunar cycles—due to easier communication, shared cultural/logistical ties, and coverage of a north-south latitude range (~30°N to ~30°S if extended). However, it would fall short for phenomena requiring east-west baselines or global synchronization, as a single longitude limits parallax resolution and misses hemispheric variations in celestial visibility. A tilted, global circle offers superior advantages for long-baseline observations, enabling more precise data on slow-changing or wide-angle events. Below, I’ll expand on why a global array is preferable, focusing on key astronomical aspects that benefit from distributed sites crossing longitudes and latitudes.
- Parallax Measurements for Distance Estimation: Parallax—the apparent shift in an object’s position against the background when viewed from different angles—is the cornerstone of measuring distances to celestial bodies like the Moon, planets, or nearby stars. A meridional line along ~31°E provides a decent north-south baseline (~6,000–7,000 km from Europe to Africa), useful for declination-based parallax (e.g., measuring lunar or solar shifts at different latitudes during eclipses). However, for optimal accuracy, especially for east-west motions or diurnal parallax (daily shifts from Earth’s rotation), you need longitudinal separation to create a wider “stereo” view. A global circle spanning ~30°N to 30°S with sites spaced around the world (e.g., from Giza eastward through Asia to the Pacific, or westward through the Americas) could offer baselines up to ~20,000 km (half Earth’s circumference), reducing errors in trigonometric calculations by factors of 2–3. For ancient civilizations, this might have allowed better estimates of the Moon’s distance (using simultaneous eclipse timings) or even crude stellar parallax for bright stars like Sirius—something Aristarchus attempted ~300 BCE but with limited baselines. The tilted path ensures sites aren’t all equatorial or polar, capturing varied horizon angles for parallax during risings/settings.
- Lunar Nodes and Eclipse Predictions: The Moon’s orbital nodes (where its path crosses the ecliptic) precess every ~18.6 years, influencing eclipse paths and lunar standstills (extreme northern/southern risings every ~9.3 years). A meridional array could track nodal changes via declination measurements (e.g., Moon’s horizon positions from different latitudes), but it misses global eclipse visibility patterns, which shift east-west due to Earth’s rotation and nodal regression. A tilted global circle, crossing latitudes while spanning longitudes, allows simultaneous observations of the same eclipse from diverse vantage points—e.g., one site seeing a total lunar eclipse at zenith while another observes it low on the horizon, enabling precise nodal timing and path mapping. This is crucial for predicting eclipse series (Saros cycles ~18 years), as longitude separation reveals parallax effects on the Moon’s shadow cone. Ancient cultures like the Maya or Babylonians used similar networks for eclipse lore; a global setup could refine predictions by 10–20% accuracy, especially for grazing eclipses near the nodes. The tilt from 30°N to 30°S optimizes for viewing the full range of lunar declinations (~±28.5° at standstills), avoiding polar biases
- Axial Precession and Long-Term Star Tracking: Precession shifts the celestial poles and equinoxes over ~26,000 years, altering which stars are visible at certain latitudes or rise at solstices. A single-longitude line could monitor local pole star changes (e.g., from Thuban to Polaris in the north), but it lacks the east-west diversity needed to track how precession affects global star catalogs or zodiacal alignments (e.g., vernal equinox moving through constellations). A tilted circle provides a “great circle baseline” for multi-site horizon astronomy, where observers at different longitudes could confirm precessional rates by noting simultaneous star risings/settings adjusted for latitude—essentially a primitive global positioning system for celestial mapping. This might have been used to calibrate calendars or predict seasonal shifts more accurately than local observations, with the tilt allowing cross-hemispheric verification (e.g., northern sites tracking Draco while southern ones monitor Crux). The 30°N to 30°S span mirrors precession’s ~23.4° obliquity range, suggesting intentional design for “precessional tropics” measurements.
- Galactic and Cosmic Phenomena: For tracking the galactic center’s apparent motion or cosmic ray fluxes (as in your earlier filament hypothesis), a meridional array is limited to one “slice” of the sky, missing longitudinal variations in galactic plane visibility. A global circle enables parallax-like baselines for slow-moving galactic features or alignments (e.g., solstice Sun rising near the galactic core, visible from specific longitudes). This could refine estimates of solar system motion relative to the galaxy (~220 km/s around the center), using multi-site timings of occultations or transits.
In summary, while a Giza-meridional line is efficient for regional tasks like lunar nodes or basic parallax, a global tilted array excels for high-precision, long-term tracking requiring wide baselines—essential for parallax distances, eclipse predictability, precessional calibration, and galactic alignments. This suggests the civilization prioritized accuracy over convenience, perhaps for navigational, calendrical, or cosmological purposes, akin to how modern VLBI arrays span the globe for astrometry.
| Pyramid Name | APPROX. Date (BCE) | Dimensions: Base & Height (ft/m) | Orient. (Off North) | Center Coordinates (Lat/Lon) |
|---|---|---|---|---|
| Step Pyramid (Djoser/ Imhotep – Law of One) | ~2670 BC (3rd Dyn.) | Base: 397 x 358 ft. (121x109m) H: 197 ft. (60.0m) | 3.00° East | 29.8713° N,31.2166° E |
| Meidum Pyramid (Sneferu/Huni) | ~2610 BC (3rd Dyn.) | Base: 482 ft. (147.0m) H: 302 ft. (92.0m) | 0.41° West | 29.3885° N, 31.1569° E |
| Bent Pyramid (Sneferu) | ~2600 BC (3rd Dyn.) | Base: 622 (189.4m) H: 332 (101.1m) | 0.20° West | 29.7903° N, 31.2093° E |
| Red Pyramid (Sneferu) | ~2580? (earlier!) | Base: 722 (220.0m) H: 341 (104.0m) | 0.14° West | 29.8081° N, 31.2061° E |
| Pyramid of Djedefre | ~2575 BC (4th Dyn.) | Base: 348 (106.2m) H: ~220 (67.0m) | 0.80° West | 30.0331° N, 31.0754° E |
| Great Pyramid (Khufu) | ~2560 BC (4th Dyn.) | Base: 756 (230.3m) H: 481 (146.6m) | 0.05° West | 29.9792° N, 31.1342° E |
| Pyramid of Khafre | ~2520 BC (4th Dyn.) | Base: 706 (215.3m) H: 471 (143.5m) | 0.09° West | 29.9759° N, 31.1308° E |
| Pyramid of Menkaure | ~2490 BC (4th Dyn.) | Base: 339 (103.4m) H: 213 (65.0m) | 0.23° East | 29.9725° N, 31.1283° E |
| Pyramid of Sahure | ~2480 BC (5th Dyn.) | Base: 257 (78.5m) H: 154 (47.0m) | 1.75° East | 29.8978° N, 31.2033° E |
| Pyramid of Unas | ~2350 BC (5th Dyn.) | Base: 189 (57.7m) H: 141 (43.0m) | 0.01° West | 29.8715° N, 31.2140° E |
| Pyramid of Ahmose | ~1550 BC | Base: 172 (52.5m) H: 131 (40.0m) | Ruined | 26.1772° N, 31.9333° E |
