**Please enjoy the text below which is ©2023 Richard Heath: all rights reserved. **

The image above is Kurma avatara of Vishnu, below Mount Mandara, with Vasuki wrapped around it, during Samudra Manthana, the churning of the ocean of milk. ca 1870. Wikipedia.

It is impossible to talk of a creation outside of the time and space of Existence, though from it, other dimensions can be inferred such as an “Eternity” visible in the invariances of numbers and structures. It is this higher dimensionality that leads to

- The recurrence of celestial time periods,
- The mental powers to recognise manifested patterns,
- The use of spatial geometries of alignment,
- The numerate counting of time,
- A phenomenology which is neither factual nor imaginary.

The quantification and qualification of Existence, adequately conducted, reveals harmonious structures within time and space, especially in the spacetime of our planetary system, when this system is as seen from our planet. The harmonious nature of our planetary system helped the late stone age to develop a large numerical and geometrical model of the world through counting astronomical recurrences. This model, which shaped ancient texts, implies that solar systems may have an inherent intelligence which makes them harmonious.

Harmony in a planetary system must therefore employ invariances already present in the number field, by exploiting the recurrent orbital interactions between planets and large Moons, this in a connected set of three-body problems. Before our exact sciences and instruments, prehistoric naked-eye astronomers could understand the planetary world by counting the duration of planetary time cycles: the subject my books explore. Through counted lengths of time, the megalithic age came to understand the invariances of the number field and so evolve an early and distinct type of numeracy. This numeracy lived on as the basis for the ancient Mysteries of the early civilizations, embodied in their Temples and in the Pythagorean approach to ordinal numbers and geometries, expressing the “number field” in two or three dimensions, areas and volumes. (see Sacred Geometry: Language of the Angels for an introduction to this)

That is, this early human numeracy naturally manifests within the maths governing rotational systems, this involving key transcendental* constants such as π, these regulating what is *actually possible*, mathematically, within dynamic planetary systems that are gravitational attractors of each other: these constants include pior π: The constant ratio of a circle's circumference to its diameter, approximately equal to 3.14159, in ancient times approximated by rational approximations such as 22/7. {π}, √-1 {*i*}, e, and phi {φ}. The first three { π, √-1, e} are surprisingly well-organized **rotational frameworks** making the behaviour of vectors relatively simple using geometry. For example, the two gas giants Jupiter and Saturn have become strongly resonant with the lunar year of twelve lunar months. The Golden MeanThe Golden Mean is that unique ratio {1.618034}, relative to ONE {1}, in which its square and reciprocal share the same fractional part {.618034}. It is associated with the synodic period of the planet Venus, which is 8/5 {1.6} of the practical year {365 days}, by approximation. It is a key proportion found in Greco-Roman and later "classical" architecture, and commonly encountered in the forms living bodies take. (or Phi {φ})^{1} can be approximated by orbital ratios between planets through exploiting the Fibonacci number series^{2}, most visibly in the orbital recurrence of Venus and the Earth, seen in the 8/5 {1.6} relationship of its synod* to the solar yearFrom Earth: the time in which the sun moves once around the Zodiac, now known to be caused by the orbital period of the Earth around the Sun.. Phi φ is also expressed in living forms of growth, since growth is often based upon the present size of a living body and what it has *previously* eaten. Fibonacci ratios are suitable for creating the “strange attractors” which create stable patterns out of otherwise chaotic interactions.

1 My use of curly braces is borrowed from a stricter world of set notation. It offers an ability to place groups of numbers, symbols and other non-grammatical element next to their grammatical context.

2 The series reinvented by Fibonacci uses addition of two previous number to create the next number. His version of that algorithm is {0 1 1 2 3 5 8 13 21 34 55 and so on}. These numbers are found within natural form of life, where such numbers can be generated from two previous states or when two counter rotating spirals of seeds will fill the surface of an egg shape with maximum packing. More on this later.

Through universal mathematical laws and constants, rotational and recurrent systems will effectively provide numerical **shortcuts* (null-vectors)** expressing Musical or Fibonacci ratios, as without those ratios being available, relationships within existence would be more complex, less synchronous, and seemingly accidental. Harmonic shortcuts have therefore given the planetary world a simplified mathematics when viewed from the surface of the earth, within a *geocentric *pattern of time. This synchronicity which provided the stone age with a path to the * direct understanding of time through phenomena *(that is, a direct visual and countable phenomenology).

Megalithic cultures of prehistory found that the geocentric planetary system expressed numerical invariances (already within the number field itself) thus making the time world of the sky *unusually harmonious and intelligible*. This contrasts with the now-popular modern notion that, while the solar system is a large and impressive structure, its origins come only from the mathematical laws of nature, forever operating in a mechanical way. That is, the modern way heliocentric and causal way of seeing the world has hidden the past view gained through the megalithic study of the phenomena in the sky, employing the large instrumentality of megalithsStructures built out of large little-altered stones in the new stone age or neolithic between 5,000-2,500 (bronze age), in the pursuit of astronomical knowledge., sightlines to the horizon, simple counting of time-as-length and, a very basic numeracy based upon numerical lengths and geometry.

Before the creation of analytical geometry, megalithic methods already employed the properties of circles, ellipses, squares, rectangles, and right triangles without the analytical geometry of Euclid, Greek maths, or ancient near-eastern arithmetic. This was only possible because key parts of the mathematics of complex numbers, for example, are directly visible in the form of the right triangle and unit circle; as the natural form of two vectors: a length at a given angle (or direction) and another length at different angle. A right triangle can therefore express two vectors of different length and differential angle, and this applies to a pair of *average* angular rates in the sky, without knowing the maths or physics behind it all. If the two vectors are day-counts of time, then the right triangle can study their relationship in a very exact way. Such a triangle may also have been seen as the rectangle that encloses it, making the diagonal (vector), the hypotenuse.

The properties of the imaginary constant *i* (√-1) represents, through its properties, the rotation of a vector through 90 degrees. It is this that gives the right-angled triangle its trigonometric capacity to represent the relativity of two vector lengths. My early schoolroom discoveries concerning vectors in applied math classes, that right triangles can represent vectors of speed for example, was without any knowledge of the mathematical theory of vectors. This geometry enabled prehistorical astronomy to study the average planetary periods as vectors. That is, rotational vectors enabled the sky to be directly “read”, from the surface of the third planet, through simple day-counting, comparing counts with right triangles, and forming circular geometries of alignment to astronomical events found on the horizon; all without any of our later astronomical instrumentation, maths, or knowledge of physics.

Physics has not yet explained how the time constants between the planets came into a harmonious configuration, because it is unaware that this is the case. The mathematization of Nature, since the Renaissance, has hidden the harmonious view of geocentric planets and all preceding myths, cosmologies and beliefs were swept aside by the heliocentric world view (see Tragic Loss of Geocentric Arts and Sciences, also C.S. Lewis *The Discarded Image*).

The modern approach then emerged, of blind forces, physical laws and dynamic calculations. That is, while the simplifying power of universal constants is fully recognized by modern science (these having made maths simpler) the idea that these simplifications came to be directly reflected in the sky implies some kind of design and hence an intelligence associated with planetary formation.

Furthermore, modern way of seeing things *cannot imagine* that the megalithic could conducted *an* *astronomy of vectors* (using geometrical methods) but not understanding why they worked and that this empowered *a simple but effective type of astronomy* (without any mathematical or technical knowledge). This is an anachronistic procedural heresy for the history of Science and for the present historical model where science is the only science possible, that evolved out of near-eastern civilization, after the stone age ended.

Foundational myths concerning the history and beliefs of modern civilization, and its progress and growth, are threatened by the notion that the world is somewhat designed by a higher intelligence. Until these scientific conflicts of interest are overcome, prehistory will remain the prisoner of modernity where mysteries remain mysteries because we don’t want something to be true.

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