Witzel claims to arrive at his conclusions on the basis of a combination of a geographical grid and a chronological grid, but, as we have seen, he does not prepare a chronological grid at all: else, he would never place MaNDala II before MaNDala VI (when the very eponymous RSi of MaNDala II is a descendant of a composer, Sunahotra BhAradvAja, in MaNDala VI) or MaNDala VIII before MaNDala III (when the very eponymous RSi of MaNDala VIII is a descendant of a composer, Ghora ANgiras, in MaNDala III).

If we impose on a map of the earth a 'world grid' with Giza (not Greenwich) as its prime meridian, then hidden relationships become immediately apparent between sites that previously seemed to be on a random, unrelated longitudes. On such a grid, as we've just seen, Tiruvannamalai stands on longitude 48 degrees east, Angkor stands on longitude 72 degrees east and Sao Pa stands out like a sore thumb on longitude 90 degrees east — all numbers that are significant in ancient myths, significant in astronomy (through the study of precession), and closely interrelated through the base-3 system.
So the 'outrageous hypothesis' which is being proposed here is that the world was mapped repeatedly over a long period at the end of the Ice Age — to the standards of accuracy that would not again be achieved until the end of the eighteenth century. It is proposed that the same people who made the maps also established their grid materially, on the ground, by consecrating a physical network of sites around the world on longitudes that were significant to them. And it is proposed that this happened a very long time ago, before history began, but that later cultures put new monuments on top of the ancient sites which they continued to venerate as sacred, perhaps also inheriting some of the knowledge and religious ideas of the original navigators and builders.

“What you require is not old interpolation-theories, but a new EXTRAPOLATION theory to explain just why those Mandalas which I have designated as Early contain no references to western rivers, places and animals; to later technological innovations like ‘spokes’; to composer-personalities from those Mandalas which I have designated as later ones, etc. etc. Perhaps, some OIT conspirator, in the eighteenth or nineteenth century AD managed to delete all such references from the collective memories of reciters all over India, and from every existing manuscript, even going ‘to each Pandit’s house, in the jungles of Orissa, etc’ and ‘forging their palm leaves???’. It is you who will find yourself in need of ‘conspiracy theories’ in order to counter my analysis”.

If you want the exact moment in time, it was conceived mentally on 8th March in this year one thousand six hundred and eighteen, but submitted to calculation in an unlucky way, and therefore rejected as false, and finally returning on the 15th of May and adopting a new line of attack, stormed the darkness of my mind. So strong was the support from the combination of my labour of seventeen years on the observations of Brahe and the present study, which conspired together, that at first I believed I was dreaming, and assuming my conclusion among my basic premises. But it is absolutely certain and exact that "the proportion between the periodic times of any two planets is precisely the sesquialterate proportion of their mean distances..."

What Witzel actually does is as follows: he draws up a geographical picture for each MaNDala of the Rigveda; and then, on the principle “the more western the geography of a MaNDala, the older the MaNDala”, he prepares a chronological grid arranging the MaNDalas in such a way as to show a movement from west to east. “Pedigrees of chiefs and poets” play no role at all in this chronological grid!... What is more, even the geographical picture for each MaNDala, as drawn up by Witzel, is based on the manipulation and misinterpretation of geographical data, manipulated to show this movement.

That Hindu astronomical lore about ancient times cannot be based on later back-calculation, was also argued by Playfair’s contemporary, the French astronomer jean-Sylvain Bailly: “The motions of the stars calculated by the Hindus before some 4500 years vary not even a single minute from the [modem] tables of Cassini and Meyer. The Indian tables give the same annual variation of the moon as that discovered by Tycho Brahe - a variation unknown to the school of Alexandria and also the Arabs.”

Perhaps the best-known mandala-cum-plotting device in the Tantric universe is the Sri Cakra and Sri Yantra of Hindu Tantric practice, a perfectly balanced three-dimensional geometric diagram of a series of eleven interlocking and embedded triangles (also called Cakras) radiating downward and outward from a central point and enclosed by a circle and a square. The mandalas of Buddhist and Jain Tantric practice follow similar structural and dynamic principles.

According to the astronomical calculations of the Hindus, the present period of the world, Kaliyug, commenced 3,102 years before the birth of Christ, on the 20th of February, at 2 hours 27 minutes and 30 seconds, the time being thus calculated of the planets that took place, and their tables show this conjunction. Bailly states that Jupiter and Mercury were then in the same degree of the ecliptic, Mars at a distance of only eight, and Saturn of seven degrees; whence it follows, that at the point of time given by the Brahmins as the commencement of Kaliyug, the four planets above-mentioned must have been successively concealed by the rays of the sun (first Saturn, then Mars, afterwards Jupiter and lastly Mercury)....The calculation of the Brahmins is so exactly confirmed by or own astronomical tables, that nothing but an actual observation could have given so correspondent a result." The learned Count continues: "He (Bailly) further informs us that Laubere, who was sent by Louis XIV as ambassador to the King of Siam, brought home, in the year 1687, astronomical tables of solar eclipses and that other similar tables were sent to Euorpe by Patouillet (a missionary in the Carnatic - India), and by Gentil, which later were obtained from the Brahmins in Tirvalore, and that they all perfectly agree in their calcuations although received from different persons, at different times, and from places in India remote from each other. On these tables Bailly, makes the following observation. The motion calculated by the Brahmins during the long space of 4,385 years (the period eclipsed between these calculations and Bailly's), varies not a single minute from the tables of Cassini and Meyer; and as the tables brought to Europe by Laubere in 1687, under Louis XIV, are older than those of Cassini and Meyer, the accordance between them must be the result of mutual and exact astronomical observations." Then again, "Indian tables give the same annual variation of the moon as that discovered by Tycho Brahe, a variation unknown to the school of Alexandria, and also to the Arabs, who followed the calculation of this school."

Anachronistic as this labyrinthine mythology may appear to the foreign mind, many of India's ancient theories about the universe are startlingly modem in scope and worthy of a people who are credited with the invention of the zero, as well as algebra and its application of astronomy and geometry; a people who so carefully observed the heavens that, in the opinion of Monier- Williams, they determined the moon's synodical revolution much more correctly than the Greeks." This notion of the sleeping and waking, or contracting and expanding, of the Life Force, so long a part of Hindu cosmology, has recently been expressed in relevant terms in an article written for a British scientific journal by Professor Fred Hoyle, Britain's foremost astronomer. " "Plainly, contemporary Western science's description of an astronomical universe of such vast magnitude that distances must be measured in terms as abstract as light-years is not new to Hinduism whose wise men, millennia ago, came up with the term kalpa to signify the inconceivable duration of the period elapsing between the beginning and end of a world system." "It is clear that Indian religious cosmology is sharply at variance with that inherited by Western peoples from the Semites. On the highest level, when stripped of mythological embroidery, Hinduism's conceptions of space, time and multiple universes approximate in range and abstraction the most advanced scientific thought."
"Hinduism created such arresting icons as the divine two-in-one embrace of Shiva and Shakti; or Shiva alone, half male, half female, or the two-sided figure of Hari-Hara, an expression of the seemingly "opposite" creative-destructive forces of Vishnu and Shiva embodied in one being

By examining the evidence in the Shatapatha Brahmana, we now know that Indian geometry predates Greek geometry by centuries. For example, the earth was represented by a circular altar and the heavens were represented by a square altar and the ritual consisted of converting the circle into a square of an identical area. There we see the beginnings of geometry! Two aspects of the 'Pythagoras' theorem are described in the Vedic literature. One aspect is purely algebraic that presents numbers a, b, c for which the sum of the squares of the first two equals the square of the third. The second is the geometric, according to which the sum of the areas of two square areas of different size is equal to another square. The Babylonians knew the algebraic aspect of this theorem as early as 1700 BCE, but they did not seem to know the geometric aspect. The Shatapatha Brahmana, which precedes the age of Pythagoras, knows both aspects. Therefore, the Indians could not have learnt it from the Old-Babylonians or the Greeks, who claim to have rediscovered the result only with Pythagoras. India is thus the cradle of the knowledge of geometry and mathematics.

[G]lory has been reserved to our era and to the English people, who since the instauration of the sciences have made such advances... And passing over the immense labours undergone by the most fruitful astronomers of our people... [H]ow easy and how exact... how geometrical, astronomy has been left to us by that most acute geometer... or astronomer, the Right Reverend Dr Seth sometime Bishop of Salisbury, who while he was among men adorned this chair. How geometrically and acutely he determined the positions and species of the orbit and other related matters, following Kepler and substituting as mean motion the angle at the other focus (which he accordingly called that of the mean motion) in place of the areas to the sun that the radius vector describes and as it were sweeps out. Content with this artifice he did not detain himself over the solution of Kepler’s problem, in which the division of the area of an ellipse in a given ratio by a straight line through a focus is required. But, being a most perspicacious man, he was conscious of what delays arose hence in the construction of tables, and, in order to show the world that astronomy was to be advanced by the help of geometry whatever hypotheses it depended upon, he accomplished the same astronomical problems geometrically from the circular hypothesis.

Whether the stars were all at the same distance, or whether they were scattered throughout infinite space, or whether they formed a finite system of vast but limited depth, were questions that could not be answered until towards the end of the eighteenth century. Until then, stellar astronomy was a field left to the unaided imagination.

Long before Rome or Greece or Israel was even heard of, the mountains of India point back to an age, of learning beyond, and still beyond. From the astronomical calculations that the figures in the Ir temples represent, it has been estimated that the Hindu understood the Precession of the Equinoxes centuries before the Christian era.

It appears that Aryabhatta affirmed the diurnal revolution of the earth on its axis, and that he accounted for it by a wind or current of aerial fluid, the extent of which, according to the orbit assigned to it by him, corresponds to an elevation of little more than a hundred miles from the surface of the earth : that he possessed the true theory of the causes of lunar and solar eclipses, and disregarded the imaginary dark planets of the mycologists and astrologers, affirming the moon and primary planets (and even the stars) to be essentially dark, and only illumined by the sun: that he noticed the motion of the solstitial and equinoctial points, but restricted it to a regular oscillation, of which he assigned the limit and the period : that he ascribed to the epicycles, by which the motion of a planet is represented, a form varying from the circle and nearly elliptic : that he recognized a motion of the nodes and apsides of all the primary planets, as well as of the moon j though in this instance, as in some others, his censurer imputes to him variance of doctrine.