Geometry of Resonance in Natural Numbers

Intro

The ‘natural number logic’ in geometry and arithmetic I present here is an aesthetic and vivid picture of the inter-relationships of ‘early’ prime numbers at the roots of reality. What counts in this geometry is not the shortest distance as a measure, but the natural number that is at hand. The convincing proof of this rule is that our new natural number system never differs more than some thousandth or less, from the conventional values you calculate with your usual parameters, the system is also intriguingly complementary, which makes ignoring what the numbers themselves cry out, namely : ‘we are of the utmost importance!’  is will-full negligence.
The system is such a natural complement and always with precision differences of thousandths, only. And see what precision you get back, natural numbers galore.

Because the principle of resonance is based on natural number ratios and relationships it is evident that this natural number interrelation at the basis of geometry must play a role in the wider geometry of space, which defines the parameters of the phenomenal world. We must find our way from the quantum dimension to the cosmic dimension in one-go to unite our yet inconsistent scientific pictures of reality. What better light to guide us than our knowledge of ‘numbers’.

I have been and still am rather excited by a combination of numbers I found that makes the irrationality of sqrt(2) ‘almost disappear’ and provides several interesting standard key numbers of this calculus. Here 7, 8, 9, 10, 11. (2x2x2; 3×3; 2×5)
19601 is 9801 + 9800 and these are 99^2 and twice 70^2 (4900) , these ‘early’-prime settings underpin the geometry of space is the idea.
It is shown in this model, that by revealing the wave-function of specific basic numbers,  11 : 7  and  10 : 9, particularly,  a whole set of ratios comes to the fore that are moulding the resonances. The solar system reveals many striking resonance relationships, especially in (moon-) orbitals and, even more enigmatic, as I have found out, in mathematical progressions in the masses of the planets, whereby these seem to grow and decline by resonances
From quantum jump to planetary gravity in one comprehensive logical and mathematical picture, that is what we are looking for; for a century now.

19601 x sqrt(2) = 27720.0000360…

Here is the strongest proof of how close we can get to the conventional with our unconventional number-logic. Now see this number as 2772, this is twice 1386 which is a conspicuous product of early primes, 2, 3, 7, 11, but it is also de denominator to our rational approximation of sqrt(2). So the sum of 2 (3) different squares (99^2+2×70^2 =9801+4900+4900= 19601) results in a number that is a real cleavage in scales of precision. It shows that our 19601/13860 is a powerful approximation of V2, it is 1.414 21356 4 213564 21….., and thus correct to eight digits. These slight differences are considered ‘immaterial’ in the real world, it is what fits a resonance, not some number without solid reference, it is permanent fine-tuning of similar vibrations at this level. Nature’s sensitivity starts here, with the resonances, the perceived signals of the environment, the interaction, the interconnection, communication, …… the reality.

The natural number geometry that I have found is not only mathematical but would also have physical implications as shown in data-adaptations. Such adaptation can occur in the standing waves of Saturn’s rings as well as some striking approximations of the universal constants. This goes to the heart of the really big unknowns of physics, the framework of universal constants’. Maybe my work opens a door against the massive resistance and ridicule this model will evoke with professionals . When the connection I propose between this basic geometry and real world processes can be established by data, from quantum to cosmos, then a valuable tool is created to analyse and influence, maybe even re-balance, natural processes. This would mean a revolution in Resonance (and science)

In a very striking way ‘squaring the circle by compass and ruler’ is here actually realized in two dimensions, by circumference (1-D) and by surface-area (2-D). Squaring the circle by area is the notorious ‘impossible’ one, but squaring to an equal perimeter is mathematically more interesting, because revealing intricacy and law/rule. (So circumference 40 = perimeter 40 is 4 times side 10 square)
The discovery that the length of a circle over the side of its inscribed square is practically 10:9 has changed my life when I was 50.
For over 25 years now I have pursued the consequences of the above postulate, in direct connection with the ratio of 11:7 for a half circle spanning its diameter. These are the absolute core and inner incompatible resonances of this system. It rises from the logic of these first 6 primes.
The ratio 10 : 9 is the key to the peculiar resonances that develop from the entanglement of 2 circles in a toroid(al) setting.
The square of the number Qute (3.14269680) =  9.87654321  this is the rational number 800 / 81. This deeply layered number from which the factors 7 and 11 have disappeared is the hallmark of the ‘torus’ geometry, with two circles involved, one with the Pi of 22/7, but also one Pi  with an 11 denominator this is  (800/81) /  (22/7)  to be  2800/891 
(4 x 7 x 10^2 / 11 x 9^2  =
The Pi’s of 22/7 and 2800/891 disappear in the rational Qute-squared of 9.87654321 = 800/81 (Q^2), the 10:9 ratio here is evident again, even squared.
Here we pass on to the geometry of the square and its encompassing circle.
The mathematical friction maybe just what powers the system, it can never come to rest. This is my metaphysics of mathematics.

This whole presentation is very pictorial which places it square in our idea of what geometry should be like, but actually what I propose here is as a parallel ‘universe’. This upends all we learned about the rigorousness of mathematics. Here beauty rules supreme and ‘exactness’ is sacrificed for the sake of the integrity of the natural numbers and their relations (= ratios = resonances). (Is anything more exact than a natural number?)

It is the total consistency and complementarity which are the most impressive characteristics of this approach with ‘whole numbers only’ and then the ease of practical implantation as is shown in the international standards on A4 paper (3x99=297; 3×70=210mm, 594/420=sqrt.2), size based on a square root 2 ratio as cutting parameter (Lichtenberg,1870). (A0=1189 x 841; 1189/99=12, 99 is our pivotal number).

This universal standard is precisely the materialization of the theoretical prescription from the number logic I describe here, with the relatively large, 198,  numbers, like we also find in Giza and Orkney.

So the core logic of these specific numbers and combinations is known since mathematician and aphorist Lichtenberg suggested it, but the mathematical and geometrical implications were never pursued maybe, because what I present here would then be common knowledge, like 22/7 for Pi was to engineers and architects before the calculator came into use, since Archimedes.

It is of some importance to realize before we set out to explore these ultimate regions of reality that both ‘quantum’ and ‘cosmic’ are states of our being, body and mind, we create concepts to express our control of inner and outer worlds and their unity.

How can we compare a solid human brain, dead or alive, with a star. The star, which comes with the majesticity of the whole cosmos, is absolutely ‘infantile’ compared to the complexity of the human brain. So what are we whimpering at our insignificance compared to a star? Because it is big?. Or old? What is old when nothing is alive? What is big when beyond imagination. And so what? It is of an alien order we cannot be measured by.
It is the Quality that counts in this comparison. The definite reason was to intimidate with the celestial, but our quality is the Mind we’re exponents of. All life is of a different order than the cosmic mechanics they sprout from, continuously.

Life is where creative intelligence sprouts from the immeasurable amount of possibilities and resonances that find a fertile ground for outside resonances to bind together and then multiply.  In this maths we discover the complementarity in resonances of basic and natural orders.
Resonance is the glue that binds reality together, it is an interaction and probably the most basic one for any evolution. It is creative.

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