Angkor Wat: Observatory of the Moon and Sun

above: Front side of the main complex by Kheng Vungvuthy for Wikipedia

In her book on Angkor Wat, the Cambodian Hindu-style temple complex, Eleanor Mannikka found an architectural unit in use, of 10/7 feet, a cubit of 20/21 feet (itself an outlier of the Roman module of 24/25 feet, at 125/126 of the 0.96 root Roman foot).

She began to find counted lengths of this unit, as symbols of the astronomical periods (such as 27 29 33) and of the great Yuga time periods proposed within Vedic mythology. Hence Mannikka’s title of Angkor Wat: Time, Space, and Kingship (1996). Whilst the temple was built by the Khymer’s greatest king, their foundation myth indicates the kingly line was adopted by a matriarchal goddess tradition.

Numerically Symbolic Monuments

Interpreting a monument using its metrology can be contentious. For example, in the megalithic period the established position has been that there was no metrological tradition and, to be found proposing one can cause your work to be ignored if not exiled from peer-reviewed journals, as was eventually the case with Prof. Alexander Thom.

At Teotihuacan, Japanese professor Saburo Sugiyama proposed an architectural unit of 83 centimeters was used, since the monumental complex would then clearly have numbers of these units corresponding to significant celestial periods, as if periods had been counted out within the City: the eclipse half year of 173 days at the Moon Pyramid, the Tzolkin of 260 days at the Sun Pyramid, and the Venus synod of 584 days at the Quetzalcoatl pyramid’s compound. More such day lengths and a well-known harmonic matrix were also seen in my Harmonic Origins of the World.

Astronomical counting within Teotihuacan (adapted from fig. 8.9)

Sugiyama did not reply to my message that his Teotihuacan Measuring Unit of 0.83 meters was the 2.72 foot length of Thom’s megalithic yard, implying some connection between Olmec/Maya Mexico and megalithic Europe. This was probably not welcome. Wikipedia’s editors of the “Megalithic Yard” page also objected to my mentioning this since it was I that had noticed this correspondence.

Over a 20 year period, Eleanor Mannikka found a numbers that were symbolic** or actual long counts of the solar and lunar years. In her thesis, these numbers were embodied as a ritual background for visiting pilgrims, whose steps corresponded to numbers – the megalithic yard being a metrological step of 2.5 feet. Her eventual counts emerged by a protocol that skipped thresholds, ran beyond, or started before a threshold, the counts were being human walkways but also excellent surfaces for doing accurate metrology.

**Her rule-based system that revealed numbers may well be a later function of the eventual monument, made to correspond with the numbers found in Hindu epic stories, since these are lavishly illustrated within extensive bas-reliefs, visible to pilgrims, depicting major Hindu myths. Statues of the gods punctuate the building’s many walkways to express the Indian practice of parikrama, of circumnavigating holy sites (such as around Mount Kailash or the great dome of Sanchi).

The Temple as AN Observatory

The symbolic use of numbers could only have become established through cosmic measurement in which astronomy (before our own) counted the actual numbers of days or months between repeating cycles of celestial alignment, and the differences and ratios between these. That is, ancient symbolic numbers originated in the Sky, where number-laden events measured in days or months generate whole numbers that were only then held to be sacred. One might think Angkor Wat too recent to have been constructed to suit this ancient sort of astronomical work. But the temple’s explicit orientation, to the west, was suited to just that. This made the temple perfect for observing and counting all sorts of time-counts, repeating measurements made millennia before using megalithic monuments.

That is, Angkor Wat is a current-era megalithic monument to the sky gods, these illustrated using the famous tableau of Vedic and later Indian myths.

The sun and moon set to the west**, each having a maximum range north or south of west. The sun at winter and summer solstice defines a fixed range within the solar year, depending on the latitude of a given site. In contrast, the Moon ranges over the horizon when setting over one orbital period of 27 1/3rd days. However, the moons orbit is skew to the sun’s path (ecliptic) so that the moon rises above and below, except at its nodes where eclipses can take place. These nodes move backwards so that the moon’s range on the horizon expands and contracts over 18.618 solar years.

**Looking west is very convenient since the sun or moon approach the horizon rather than suddenly appearing as they do in the east.

As a consequence, there are seven key points on the western horizon, the maximum standstill to north and south, the minimum standstill to north and south, the solstice extremes of the sun in summer (North) and winter (South), plus the equinox sunrise**. It is possible to calculate these alignments for the virtually flat terrain of Cambodia as in Figure 2.

**The Equinox sunset is a very exact point to measure since the sun appears to move rapidly on the horizon, between sunsets.

Figure 2 The alignments of Sun and Moon to the west (Left) around 1000 CE at the latitude of Angkor Wat using the Processing.org framework.

The notion of alignments seems to throw light upon the highly specific elements of Angkor Wat (see figure 3), if these alignments were viewed from the north eastern and south eastern corners of the raised temple enclosure.

Figure 3 Viewing the alignments of Sun and Moon, to the west (on Left), from the eastern corners.

There is a natural north-south symmetry, where the alignments to the solstice cross in the pream cruciform (see figure 4). The punctuation of the towers of the temple, seen from the eastern corners, would provide landmarks to calibrate the movement of (a) the sun in the year and (b) the moon within the lunar orbit, as the 18.6 year nodal movement expands and contracts the lunar range.

Figure 4 The Alignments seen within the plan of the temple complex.

The cruciform terrace outside the walls and nine fold cruciform within, could relate to the crossings of alignment and the periodicity of these cycles which would be countable in days using units of length.

The maximum moon alignments near 1000 BCE were 30 north and south or west, and one can plot those alignments over a flat Cambodia to the boundaries with Thailand which are, in contrast, significantly mountainous (see dark green areas at end of yellow alignments in Figure 5.

Figure 5 Google Earth view of the mountains at the end of both maximum moon alignments.

Parallels with the Megalithic near Carnac

The basic idea of such an observatory is a stone square instead of a stone circle. Alignments can be built-in, between back-sight observation points and fore-sight marker stones, marking the horizon location of an extreme event such as solstice. An observatory location can also look to an horizon event for which a distinct natural feature exists on the horizon, from that location. The stone perimeters of Carnac, called cromlechs, are various shapes but at Kerlescan, the cromlech is a rounded square, where the western perimeter is concave towards the east. That is, it faced rising events on the eastern horizon instead of setting events to the west.

Figure 6 Alexander Thom’s survey of the Kerlescan cromlech.

Otherwise, the “setup” is conducive to the observation of the sun and moon possible at Angkor Wat. Below I show how the observatory could work for the epoch 4000 BCE. The red lines are solar extremes and green lines are lunar maximum and minimum extremes. Equinoctial events at Spring and Autumn complete the inherently seven-fold nature of such phenomena.

Figure 7 Possible use of the Kerlescan cromlech, as an observatory facing east rather than west (at Angkor Wat).

Introduction to my book Sacred Number and the Lords of Time

Modern mathematical science deals in precise measurements accurate to many decimal places. Simple integers rarely appear. the trend has recently been toward reforming our units of measure to get away from specific objects of reference and base them on universal physical properties. in ancient times people tried much the same thing, but, not having an arithmetical system, they used whole numbers of the same length (the inch) to measure astronomical time (the day). then, using geometry, they created their first objective measure, a megalithic yard, which expressed the difference between the solar and lunar year.

Their idea of sticking to whole numbers remains part of our number theory and, as Leopold Kronecker famously said, “God created the natural numbers, all else is the work of man.” The natural numbers or integers carry with them a sense of unity and design as to how they interact with one another. As symbols these number relationships affect the physical world and this suggests they provided a fundamental creative fabric for the universe. the constructions made by megalithic people present such a view. The monuments could only reflect a “heavenly pattern” (“as above, so below”) because the fabric of abstract whole number relationships appears to have been employed in a later weaving of planetary time cycles, which were then seen as the work of some god or gods (the demiurge) who surrounded the earth with numerical time ratios.

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Sacred Number and the Lords of Time

Back Cover

ANCIENT MYSTERIES

“Heath has done a superb job of collating his own work on the subject of megaliths with the objective views of many other researchers in the field. I therefore do not merely recommend reading this book but can state unequivocally it is a must read.”
–John Neal, British metrologist and researcher and author of Measuring the Megaliths and The Structure of Metrology

“In Sacred Number and the Lords of Time we have an important explanation of how megalithic science was developed. This book is a long-overdue wakeup call to a modern culture that has abandoned this fully developed and astonishingly rich prehistoric model of the physical world. The truth is now out.”
–Robin Heath, coauthor of The Lost Science of Measuring the Earth and author of Sun, Moon and Earth

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St Pierre 1: Jupiter and the Moon

The egg-shaped stone circles of the megalithic, in Brittany by c. 4000 BC and in Britain by 2500 BC, seem to express two different astronomical time lengths, beside each other as (a) a circumference and then (b) a longer, egg-shaped extension of that circle. It was Alexander Thom who analysed stone circles in the 20th century as a hobby, surveying most of the surviving stone circles in Britain and finding geometrical patterns within irregular circles. He speculated the egg-shaped and flattened circles were manipulating pi so as to equal three (not 3.1416) between an initial radius and subsequent perimeter, so making them commensurate in integer units. For example, the irregular circle would have perimeter 12 and a radius of 4 (a flattened circle).

However, when the forming circle and perimeter are compared, these can compare the two lengths of a right-triangle while adding a recurring nature: where the end is a new beginning. Each cycle is a new beginning because the whole geocentric sky is rotational and the planetary system orbital. The counting of time periods was more than symbolic since the two astronomical time periods became, by artifice, related to one another as two integer perimeters that is, commensurate to one another, as is seen at St Pierre (fig.3).

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Similarities between Le Menec and Erdevan Alignments

In a previous article, the 7,500 foot-long Erdevan alignments were seen to have been a long count of the Saros period of 19 eclipse years versus the distance to Mane Groh dolmen of 19 solar years, this probably conceptualized as an 18-19-6 near-Pythagorean triangle, whose inner angle is the bearing from east of Mané Groh. However, the path directly east caused the actual alignments, counting the Saros, to veer south to miss the hill of Mané Bras.

It has been remarked that the form of the northern alignments of Edeven were similar to those starting at Le Menec’s egg-shaped stone circle 4.25 miles away, at a bearing 45 degrees southeast. Whilst huge gaps have been caused in those of Edeven by agriculture, the iconic Le Menec alignments seem to have fared better than the alignments of Kermario, Kerlescan and Petit Menec which follow it east, these being known as the Carnac Alignments above the town of that name.

One similarity between alignments is the idea of starting and terminating them with ancillary structures such as cromlechs (stone kerb monuments), such as the Le Menec egg and, despite road incursion, a3-4-5 structure similar to Crucuno, aligned to the midsummer sunset by a length 235 feet long. This is the number of lunar months in the 19 year Metonic period and is factored 5 times 47. Another similarity may be seen in Cambray’s 1805 drawing of these Kerzerho alignments, at the head of ten stone rows marching east (figure 1).

Figure 1 Cambrey’s 1805 engraving of Kerzerho’s western extremity of the Erdeven alignments showing the stone rows now lost to agriculture.
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Kerherzo Rectangle near Erdeven & Crucuno

first published in March 2018

In 1973, Alexander Thom found the Crucuno rectangle to have been “accurately placed east and west” by its megalithic builders, and “built round a rectangle 30 MY [megalithic yards] by 40 MY” and that “only at the latitude of Crucuno could the diagonals of a 3, 4, 5 rectangle indicate at both solstices the azimuth of the sun rising and setting when it appears to rest on the horizon.” In a recent article I found metrology was used between the Crucuno dolmen (within Crucuno) and the rectangle in the east to count 47 lunar months, since this closely approximates 4 eclipse years (of 346.62 days) which is the shortest eclipse prediction period available to early astronomers.


Figure 1 Two key features of Crucuno’s Rectangle

About 1.22 miles northwest lie the alignments sometimes called Erdeven, on the present D781 before the hamlet Kerzerho – after which hamlet they were named by Archaeology. These stone rows are a major complex monument but here we consider only the section beside the road to the east. Unlike the Le Manec Kermario and Kerlestan alignments which start north of Carnac, Erdevan’s alignments are, like the Crucuno rectangle accurately placed east and west. 


Figure 2 Two stones, angled to the diagonal of a 3-4-5 triangle 235 feet from north west stone and setting sun at summer solstice
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