## ***Geometry of Resonance in Natural Numbers

Intro

The natural number logic in geometry I present here is an aesthetic and vivid picture of the inter-relationships of early prime numbers (2, 3, 5, ….) at the roots of reality. What counts in this geometry is not the shortest distance as a measure, but the suitable natural number that is closest at hand. The convincing proof of this rule is that our new natural number system never differs more than a few thousandth’s from the conventional values you calculate usually.

So in most practical cases the differences are inconsequential and our substitutes enhance the transparancy.

Because the principle of resonance is based on **natural number **ratios and relationships it is evident that this natural number interrelation at the basics 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 sqrt2 ‘almost disappear’ and provides several interesting standard key numbers.

The number 19601 is 9801 + 9800 and these are the squares of** 99** and** 70** (3^2×11 and 7x2x5), these ‘early’ prime products underpin the geometry of space is the postulate. It is shown in this model that by revealing the wave-function of specific basic number ratios, 11:7 and 10:9, 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, in mathematical progressions in the masses of the planets, whereby these can grow and decline.

**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 27720, as twice 13860, which is a conspicuous product of early primes, 2, 3, 5, 7, 11, but it is also de denominator to our rational approximation of sqrt.2. (19601/13860)

So the sum of 2 (3) different pivotal squares (**99^2 **+ 2 x **70^2** =9801+9800)= **19601**, results in a number that is a real improvement in scales of precision. It shows that our 19601/13860 is a powerful rational approx of V2, it is 1.414**213564** **213564** 21….., and thus correct to eight digits and thus very close (period 213564 = 2 x 2 x 3 x 13 x** 37^2).** These slight differences are considered immaterial in the everyday 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, in short, reality as a whole, as the One.

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 in 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 in the massive resistance this model will evoke. 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 a very striking way here ‘squaring the circle by compass and ruler’ is actually realized in two dimensions, by circumference (first) and by surface-area (second). Squaring the circle by area is the notorious ‘impossible’ one, but squaring a circle to an equal perimeter is mathematically more interesting, because revealing intricacy in 3-D, and it is more straightforward.

The discovery that the length of a circle over the side of its inscribed square is practically 10:9 (exact: 9.00316…) has changed my life. For 25 years I have pursued the consequences of the above assumption, in direct connection with the ratio of 11:7 for a half circle spanning its diameter. This is the absolute core and inner incompatibility of this * definitely intrinsically complementary *system. The mathematical friction in the geometry might be what powers the system; it could never come to rest.

This is my metaphysics.

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 rigourousness of math. Here beauty rules supreme and ‘exactness’ is sacrificed for the ‘integrity’ of the *natural* numbers themselves and their mutual relations.

It is the total consistency and complementarity which are the most impressive characteristics of this model and then the ease of practical implantation as is shown in the international standards on A4 paper (3×99=297; 3×70=210mm, 594/420=sqrt.2), sizes based on a square root2 ratio as cutting parameter. (biggest: A0 = 1189×841; 1189/99=12, ** 99** is pivotal number also here. 1189/840= 1.4**15**4… 1189/841= 1.4**13**7…).

This** universal standard** is precisely the **practical materialization** of the **theoretical prescriptions** from the **number logic** I describe here.

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

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, we create concepts to express our awareness and control of inner and outer worlds.

How can we compare a solid human brain, dead or alive, with a star. The star which comes with the majesticity of the whole universe is absolutely overwhelming by phantasy, but ‘infantile’ compared to the complexity of the human brain. So what are we whimpering at our ‘insignificance’ compared to a star or even the universe? Because it is big?. Or old? What is old when nothing is alive? What is big when beyond imagination, like infinity. The universe has no physical boundary, no volume, it’s a mental thing, our mind is the integrated inner boundary.

We will always ‘win’ comparison on quality, on Mind, with any other creature alive or of boiling or dead mass.

Abstract mathematics can rule reality because the latter is based on Mind, Logic and on Number (as is claimed here).

Since Mind is logical, it is mathematical, it reflects the intelligence of Nature, It extracts the numbers and uses them to predict, control, plan. Our brains have great potential which can be unlocked by science and medicine.

A greater collective awareness is needed to postpone or even deflect the greatest coming disasters. I don’t see any urgency in politics yet and it won’t come until the next big disaster strikes whatever it be. We cannot imagine geological or climatic time scales, we can though calculate on them and make predictions.

One of the big obstacles to human solidarity is the huge inequalities in and between countries around the world even in the most ‘advanced’ nations. We condemn the gladiator fights as cruel and barbaric, the Romans didn’t. It was ‘normal’. In our rich societies poverty is also seen as inevitable

I hope in 2000 years mankind will find a future which is ethically beyond what we are capable of today in our own societies.

The good society is the one in which everyone is sure of good living conditions, free of stress, if you choose.

The Holy Grail of ‘Property’ , the Totem that cannot be touched, it is the best security in a hazardous rivallous world. This is why its immunity to scrutiny is withstood. The redistribution of wealth is inextrically intertwined with vested interests, economic and cultural power.

This can easily get into a dirty business, unless the public support is overwhelming; even if that were the case there is no way the public would be aware of a choice, they are not informed by the media that are in the hands of the ‘Haves’.