**above: **a diagram of Thomas Kuhn’s 5-stage cycle of paradigm shifing in science *from *simplypsychology.org **A work in progress, first draft**

## Table of Contents

- Introduction

# Introduction

**Organizing ideas** are the super-category of Meaning in that, once they are grasped, whatever you do is informed by that Idea. This is different to the standard model of science where such biases are glossed over even though every scientists has organizing ideas but they are often only visible in what a person * cannot see*, because of the organizing ideas are at work in the background, in what we

**choose to see**.

As I mentioned in my last post, science has sort of caught up with this in the work of Thomas Kuhn who coined the term paradigm to describe the process whereby scientists might change their organizing ideas but do this subject to a due process, much argument and finally, a **paradigm shift** (see above graphic)

This explains how waves of new **worldviews **that have swept over science. However, my own work cannot yet join with science because many of my organizing ideas are absent from both the standard model of science, and that of history.

Most of my work is about the megalithic, a prehistoric movement of near worldwide manifestations of large stone monuments. And the organizing ideas in this **working list** will be according to how my work has developed in time, since 1992. Because the megalithic people were astronomers, I am concerned with what they found in the sky that our own astronomy **cannot see**.

I had many previous organizing ideas, such as the teachings of Gurdjieff and Bennett, the precessional lore of Hamlet’s Mill, the astronomy of star groups and star names, the significance of etymology and comparative religion and degrees in electrical engineering, system science and computing.

You can read my Introduction to Matrix of Creation (2002 & 2004.

### 1. **The Geometry of the Right Triangle** (1992)

In 1992, my brother shared an astronomical geometry which he called the Lunation TriangleThe right-angled triangle within which the lengths of the two longer sides are the relative proportions of the solar and lunar years., which for him was the {**5 12 13**}, found as the Station Stone rectangle at Stonehenge, having sides **5 **and **12 **of a unit length **8** megalithic yards, all rectangles being made up of two identical contraflow triangles with a common hypotenuse. He noticed the** 5** side could be divided into **3 parts** below and 2 left-over, above. If an intermediate hypotenuse was formed to the base of **12**, from the **3:2** point, it would be **12.368 **units long. This is the number of lunar months in a **solar **year whilst **12 **is the number of months in a **lunar **year. The fractional part of **0.368** is **7/19** months, so that in **19 **years (the MetonicGreek: The continuous 19 year recurrence of the moon's phase and location amongst the stars. period), there are a whole number of **235 **lunar months, bringing the sun and moon into a complex (in the mathematical sense) yet near-deterministic ensemble of repeated manifestations which are then tantamount to a calendar of their joint behavior **as a whole** – all linked to the illumination, by the sun, of the moon, seen as its phases during a lunar month. And of course I now see the significance of this in the light of all my organizing ideas, such that the harmonization of two or more things is a manifestation of wholeness, when phenomena are viewed as to their holistic nature.

Search for “lunation triangle“

### 2. The Normalization of Right Triangles (1994)

If one takes the excess of 0.368 (7/19) lunar months and divides this into the two longer lengths, the base of 12 and the diagonal above it of 12.368, then the triangle reveals its invariance structure, its “normal” form of 32.6: 33.6. The excess of 0.368 has been divided by itself to become the number one, that is 1 unit that is the natural unit. Every right triangle has a single normalised form of N:N+1, and in this case N = 32.6. Because the megalithic was forced to attend to numbers as lengths, then the difference in the two lengths led naturally to the notion of metrologyThe application of units of length to problems of measurement, design, comparison or calculation.. At Le Manio, where inches were used to count days over three years, the excess was 32.625 (32 + 5/8th”) inches and there was as yet no foot of 12 inches. By using the excess to then count lunar months, over three years, the excess was (what we now call) a yard of 36 inches so that, one foot of 12 inches was then the excess per 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.. From this foot, the later metrology based upon variations of the English footThe standard prehistoric foot (of 12 inches) representing a unity from which all other foot measures came to be formed, as rational fractions of the foot, a fact hidden within our historical metrology [Neal, 2000]. was used, enabling simultaneous division and multiplication of any measurement in order to create rationality of measurements whilst also recognizing that specific numbers and ratios between time counts were regulating planetary time. see *Ancient Metrology *below .

Search: “N:N+1“.

### 3. The Numbers of the Planetary Matrix (1999)

The organizing idea of normalized Right Triangles, with sides whose counted lengths were the years of the sun and the moon, could also be applied to the geocentric cycles of the planets upon the stellar tapestry of the sky, and the visual phenomena of both the inner planets that move with the sun, and outer planets which loop when opposite the sun, with the earth in-between. The units of measure used to count time evolved from counting the sun and moon but now the eclipticThe path of the Sun through the sky along which eclipses of sun and moon can occur, traditionally divided into the 365¼ parts of the solar year, each part then a DAY in angle rather than time. path of the planets became the focus rather than the horizon. However both of these were seen as circular so that these years of planetary motion (called synodicThe recurring time cycle of a given celestial phenomenon seen from the Earth.) were soon found to have integer low-number resonances, or to express Fibonacci (Golden Mean) or musical ratios. The most telling are Venus which is locked into having five synods in eight solar years, Jupiter having two synods in 27 lunar months (a tone of 9/8) and Saturn having five synods in 64 lunar months (a semitone of 16/15).

Search = “planetary“

### 4. World Myths based upon Astronomy (2001)

At this point it became clear that this work on the megalithic was revealing the detail behind what Hamlet’s Mill had only glimpsed:

“Over many years I searched for where myth and science join. … Number gave the key. Way back in time, before writing was even invented, it was measures and counting that provided the armature, the frame on which the rich texture of real myth was to grow.”

Professor Giorgio de Santillana. Hamlet’s Mill, 1978.

Ancient texts have a peculiar association with numbers and with heavenly characters such as gods. Stories were the means for an oral society to store their knowledge about the sky amongst other things. The myth of Hephaistos (the smith) and Aphrodite are proto typical in that both were born through parthenogenesis (unnaturally) ways as a virgin birth to Hera, or Aphrodite from Zeus’s head. The megalithic work with the numbers of astronomical time seemed to provide a new key, from original findings appearing to have framed ancient stories in one way or another, in wonderful, creative allusions.

Search = “myth”.

## before Sacred Number and the Origins of Civilization (2007)

### 5. Ancient Metrology as post-Megalithic (2004)

Metrology has, in the last centuries, had a checkered career since academics have not been expecting the megalithic to have invented what became a single world-wide tradition for the civilizations of the ancient world. John Michell communicated the ancientness of it (AM 1983) by showing longer and shorter versions of ancient foot modules (of many geographic attributions) whilst his co-worker John Neal saw that the ratios between these micro-variations (of 176/175Ratio crucial to maintaining integers (see geometry lesson 2) between radii and circumference of a circle, and crucial to the micro-variation of foot modules in ancient metrology. and 441/440) were all linked into modules that, at their root, were feet linked to the Greek module (of one foot) through small rational fractions such as 10/9 Assyrian, 32/35 Iberian, 24/25 Roman, 21/20 Persian, 8/7 Royal, 7/6 Russian – to name but a few. As usual, the ability to interrogate monuments and the celestial time periods in a new way, ancient metrology can be seen as an evolving reality – this best put in Heath 2021, in chapter 1 and appendix 2.

Search = “ancient metrology”.

### 2009: Counting Time in day-inches (2009)

It may seem obvious that my brother and I had seen time as lengths since the lunation triangle had numeric lengths of its longer sides (and 3rd sides) but, for some reason, we had not unified the notion of metrology and astronomical time except in that monuments symbolized time through number. In different ways, we both came to realize the practical import of monuments, that their representation of time as length was part of the counting of time. We had been “finding the cheese but failing to recognize the milk that made it”. I began looking for monuments that were counting time with units rather than as symbols, while my brother accidentally came across a monument we had bother seen in 2007, where the angle shown by a theodolite from a “sun gate” to a far stone edge was that of the lunation triangle relative to a kerb of stones: the Le Manio Quadrilateral. A simple survey using a long tapes revealed the length of the solar year in three inch units. It later became obvious that an actual count in the day-inches I was looking for, had been found, rather than a numerical symbol of the sun and moon. The inch appears to have been the first unit of length, deployed to count in this way.

Search = “counting time”.

### 2010: Reentrant Circles to Simulate the Ecliptic

Search = “simulation”.

Text to follow.

### 2011: Sidereal Tracking the Circumpolar Sky

Search = “circumpolar”.

Text to follow.

## before Precessional Time published in 2011

### 2012?: Ring Composition

Search = “ring composition”.

See my third Book Precessional Time and the Evolution of Consciousness

Text to follow.

2014: