Resonances Solar System Deep-field july 16

Resonances of Solar System Deep-field. July ‘16
This is an important piece because I consider my presentation of the resonances in the Solar System as the proof of the validity of my method and my specific mathematics as put forward on this website.
This presentation of the solar system resonances is different from the usual because it employs a mathematical natural number logic which is not (yet?) accepted in established mathematics. What this logic does is bring to the surface all manner of hidden mathematical relations between several aspects of the different planets which could imply that some base-pattern was already in existence according to which the free floating ‘material’ in the solar plane was proportioned during its formation. At least that is the only way I can explain for one thing the progressive ratios in the masses of the planets. It is hard to deny the regularities that come to the surface and there seem to be even more hidden resonances than what I give here, but only these here can be sufficiently argued.

What follows is probably the most solid scientific proof so far of the validity of the peculiar rational number arithmetic and its accompanying geometry as set out on this website. What at first only seemed a peculiar and simple way of doing geometry, now turns out to lie at the heart of the dynamics of the solar system, which proves at least two things: a) that the mathematics, however unusual, is valid for physics (i.a. gravity) and b) that it uncovers underlying relations in ratios and resonances which no other system can bring to bear.
I show how by making small systematic alterations to the official data (most up to less than 3%) these can be reshaped to fit a mathematical framework (progressions) and dynamic which serve compelling evidence for this underlying 10/9 rational number order. This adaptation of data is justified because we deal with an ever changing dynamical system where accidental (catastrophic) occurrences may influence (disturb) the overall interactions throughout the system for long periods of time. By virtue of the dynamics of the system we will have data that deviate from the theoretical and they should.
The most enigmatic fact to come forward from these new data arrangements is that the masses of the planets can be seen to relate in specific mathematical whole number ratios, again based on the number 9-fold. This would seem to imply that a mathematical resonance pattern was already in place before the actual planet-formation took place, this pattern then would have to have emanated from the Sun’s body proper and most probably be caused by the differential in rotation speeds of the core and the equatorial rim (the sun’s poles and probably its core axis rotate in 36 (=6²) days, the equatorial rim rather faster in 25 (=5²) days, so this will produce a layered vibration in its mass and consequently in its inertial deep-field, the ambient space it moulds around itself, its gravity area.

Rational number geometry logo
The 9-fold order in this mathematics is to do with the horn-torus-formula (4.π².r²), here called corus-formula, [corus = core/compact-torus = torus with core-point=horn-torus) and its specific π²-value as the rational number 800/81 [8 x (10/9)²] or 9.87654321 (=π²), this is the absolute ‘core’ value of our system based on toroidal integer mathematics. (canonical π²= 9.8696…., diff 0.0069..).
The 10:9 ratio is expressed in our core-logo for natural number-geometry (see pictogram below, orange is a square perimeter 9, symbolized in the yellow grid of 9 squares, blue is a circle circumference 10, symbolized in the decimal zero, a circle), where the circumference of the circle and the perimeter of the square relate as 10 : 9 exactly (consequently also ratio -> quarter-circle: square side = 10 :9).

The data that sustain a 9-fold order are overwhelming and this makes a very strong case for my approach, however unclear at this moment all this theoretically may be, the numbers themselves lead the way again, as they always do in this system. Remember that resonance is a ‘not-precise phenomenon’, but functions within margins of tolerance which is the reason why this unusual but beautiful approximation system proves to be valid in reality. It is flexible resonance math, not rigid Euclidean.
As we will see the majority of ratios has the number 18 (2×9) as prominent characteristic factor.
Look to begin with at the following progression in ratios of selected masses (mind you, the bodies) of some of the planets and the Sun and the deviation from the official data in percentages, which we will work out later.

Mercury   Earth     Neptune      Jupiter      Sun
1            18            18²            18³         180³
diff.:       0.5%         4.5%          1.4%       4.5%

Coincidence? Maybe if this were all, but there is so much more and much more intricate, look at this:
the Moon has a mass 1/81 (1/9²) that of Earth, while Mars has a mass 1/9 that of Earth, Mercury 1/18 and Venus 81/100 (9² /10²) the mass of Earth. It all fits the resonance pattern of the torus geometry with 10:9 order.

Why this is so important is because it shows so clearly that there is more to gravity than Newton’s and Einstein’s insights reveal, it means gravity is not really understood at all still and here we thus have a very ‘familiar’ example where the 9-fold resonances of the toroidal geometry are expressed in the experiential field data. We are talking about the masses here, don’t forget how extra-ordinary that is! So how did it come about?
Possibly computers can do the job when this system is made fully operational in a program.

What this all means is that the mathematical part seems the decisive influence and that, by itself again, is why this mathematics is so interesting and important, because if it is possible to analyse the ‘mathematical creation’ of the solar system, then it’s origin may consequently have more transparent data to build a theory upon.
Following is the ‘translation’/adaptation of the rest of the mass-data into a ‘form’ fitting our system

Jupiter:       18²        =    324      (318 + 1,85%),
Saturn:      16×6      =      96      (95)   (or 11×9)
Uranus:  0,81 x 18   =   14,58    (14,52 + 0,41 %)
Neptune:   1 x 18      =     18        (17,15 + 4,72%)

Also here we see rather small real deviations from the theoretical data, all still under 5% and often much less. It all depends on how you imagine the solar system has developed; where it got its geometry from, and all its resonances.
I come with the double star option, because I don’t want to resort to the usual ‘catastrophe’ (the supernova) as a cause.
The point is that my method shows there was much more ‘mathematical engineering’ than probably sceptical scientists are prepared to accept; I see the ‘miraculous’ in the mathematical, but most of them, sadly, ‘don’t see no miracle at all’, -anywhere-, it seems.
The universe as I see it is unique and cannot be otherwise because it is based on the intrinsic logic of natural numbers as representatives of basic vibrations, so ours is not ‘the best of all possible worlds’ as Leibniz had it, but ‘the only possible world’.

We see this also in the ‘dimensionless universal constants’ as I pointed out elsewhere, they are mathematical necessities in this system. This is the miracle, that it numerically really makes sense and works perfectly in the field. For instance: what I found in the archaeology of Orkney and then compared with the pyramids of Giza cannot be explained rationally, but neither can it be properly labeled as ‘coincidence’ given the mathematical character of it all, and the fact it occurred at about the same time in history, so it all retains something of the enigmatic, the miraculous, the supernatural (and then, is there anything wrong with that?).

Hidden networks
Here for the first time emerges the scientific value of the ‘9-fold system of rational number-geometry’, these mathematics bring the deeper lying connections, the ratios and resonances to the surface. In my view it are these ‘hidden mathematical networks’ which are the backbone of the solar system’s long term stability, a stability which has always been and still is questioned and probed by scientists.
Sure is that scientists have great difficulty in making calculations in gravity systems where more than two bodies are involved, let alone nine. Maybe these, now revealed, deep-field resonances and the concept of pressure-gravity can help to clarify the picture. Without the here employed analytical number system scientists miss out on a whole range of resonances which may govern the internal coherence of the solar system as a whole, as is shown in the data below. It are these ratios and resonances which probably function as an elastic glue and keep the system ‘organically’ together; they are a safeguard against disintegration, they even-out irregularities in deep space, the aether (that is: deep-field-transformation).

Mathematical order

So that is what this piece is about, how there is definite mathematical order in unexpected aspects, yes, even in the relative masses of the planets, as said and shown, and that Earth, Venus, Mars and Mercury were part of the original core of the destroyed twin star of the Sun.
[The astronomical term ‘cannibalism’ is used when one way or another a star/galaxy absorbs parts or most of an adjoining star/galaxy, it is an unpleasant name for processes of absorption that can also be seen as ‘growth’ and  sometimes ‘rejuvenation’. (It is just not attractive to base one’s -spiritual- cosmology on ‘cannibalism’).
It has recently been found that our own galaxy probably absorbed another much smaller galaxy a long time ago. So these processes of accumulation are on-going and are an intrinsic property of the cosmic system, it is the conditio sine qua non of gravity.
My approach is more mythical because it sees the proces of absorption as a way of getting to the core of the star with all its riches in metals, so as to create a spread of metals in large and small clumps that could sustain creation of life.
I see the cosmos as organic but don’t believe is higher life elsewhere.
If there is life elsewhere it will be of the Pre Cambrian order. The mystery of the Cambrian explosion is solved when it could be proven that until that time the earth was mostly covered in ever thinner clouds and that with sun breaking through the clouds permanently, the bombardment of light and heat together with rain started to leach the crust of our star core and unleashed the colours.
What makes the earth unique is that it has been able to hold on to its water and keep a temperate temperature in most places. This is a unique and fragile situation once we contemplate it.

Star systems
Stars also cluster in larger groups. Many stars the size and category of the sun are involved in binary or even multiple star systems. Many of the stars we see with the naked eye are on closer look, close-knit multiple star systems seen as one star, so it is quite common for stars to group in multiples, so why not our Sun.
Another aspect of our planetary system is the possible influence on recurring Ice Ages. At the moment the influence of the sun and its activity is thought to be predominant in the succession of Ice Ages, but in my view the activity of the sun itself is greatly influenced by several ‘players’ in the solar plane with its far-out ‘heavy weights’ which even have a significant stabilizing effect on the rotation of the sun itself (it would wobble much more, like Earth would without the Moon). Such far-out ‘masses’ have thus an enormous leverage over the whole system and affect the Sun’s innards by tidal churning, traceable in the Sun’s ‘dance’ around the barycenter of the system resulting in more or in less radiation and corresponding (climatic) environments. The barycenter or center of gravity of the solar system moves in and out of the sun but it is the culmination of the gravity-stresses that exist in the system as a whole, so its geometry must inevitably have impact on the ‘activity’ of the Sun as a molten ‘plastic’ mass. The Sun’s 11 year cycle has no doubt to do with these system-influences where Jupiter, by far the biggest player, has an orbit of 11.86 years.

This picture of the movement of the barycenter is misleading in the sense that it is not the barycenter which moves around the Sun, but the other way round, the Sun and all its planets actually revolve around the barycenter (center of gravity). It turns out that the Sun’s movement around this center is mainly influenced by the mass of Jupiter as can be seen in striking animations of the influences of the individual planets on the behavior of the Sun. Below is the actual movement of the sun around the barycenter mainly due to Jupiter’s influence. (see link)( ).

Given that Jupiter’s mass is only 1/1000 that of the Sun it is remarkable how much influence Jupiter still has on the Sun and consequently on the whole system. Also the influence of Saturn is substantial, whereas Uranus stands out as being the planet of which the period around the barycenter exactly matches that of the Sun. Neptune although only some 20% heavier than Uranus and twice as far away (!) has a bigger impact on the Sun. It is tempting to suppose that the awkward tilt of Uranus – its axis is nearly horizontal with respect to the solar plane- is actually due to the strain Neptune exerts on the whole system and the Sun, but more importantly it might show that the gravitational impact of Uranus on the sun is much less because of its axis aligning the solar plane which would imply that gravitational effects are larger through the plane of rotation than over the axis; this in turn explains why all planets are in the solar plane and Pluto is an outsider but possibly still moving towards the plane of rotation, because of the pull of the plane.
[There is another important field where the solar system may have underlying influence, with Jupiter in the leading role, and that is the world-economy. At least I was capable of predicting the top of the (Western?) economic cycle around 2007, already in 1999, as I predict now a further deterioration of the (again Western?) economy until around 2030; there will be no upturn (or it must be very soon and will be shallow and short-lived, 2016-17) but a further downturn will occur from around 2017-2019 all the way until around 2030. It will be pretty tough, I think, but it may lighten the burden on the natural environment and slow climate change. I hope to publish my version of the ‘true’ economic Kondratieff-wave in due time]

The Data
After this broad introduction into the several aspects of the solar system we will turn to the data and to how the data get shaped into the mold of our number-logic. We find here the radii of the orbits as follows:
first the progression of theoretical gaps in the top line, then official data in bold, with theoretical values and progressions beneath and finally the theoretical gap doubling;

M         V         E          M         Ast.       J           S          U       N
0           45       90       180      360     720      1440    2880   4500
58      108      149      228                778      1427    2870  4497
60*       105      150      240    420    780      1440    2880    4500
0    45       45        90        180      360     660*      1440     1620

*note here the shrink of 60 from 720 (780) to 660 between Jupiter and Saturn, where the ‘push-out’ (60*) by the sun, starting with Mercury, disappears.

What we see here is not only that the outer three planets data are very close to the theoretical prediction but that there is this whole mathematical grid clearly within margins that are scientifically acceptable. It would be odd to ignore this.
Only Mars is 5% off the mark, so what? It is a very small planet without much consequence (gravitationally) but possibly vulnerable to disturbances of the rather ‘messy’ asteroid belt (which has itself a strict 45m grid though). So given the dynamics of an ‘organic’ system, which, so to speak, ‘must’ be irregular, that is, flexible, to be ‘real’ at all, the fit is remarkably good, so good it is a kind of proof of high probability for the effectiveness of the natural number logic itself.
The orbits of the outer planets show they form a progressive geometry, without substantial center in principle, (0, 45, 90, 180, 360, 720, 1440, 2880, 4500 is the basic progression) but this grid is ‘de-formed’ by the mass of the Sun regarding the interior orbits, even including Jupiter, which have been pushed-out by a shift of some 60 million km  (60, 105, 150, 240, 420, 780), but retaining the successive doubling of the 45 million gap-factor, it’s ironcast.
The grid of the even numbers is still visible in the orbits of Neptune 4500, Uranus 2880, Saturn 1440, respectively  100, 64 and 32 times 45 (million kms), an intriguing progression. This unit of 45 million turns out to be the factor which decides the spacing in the orbits of the planets. Since Neptune is the outer orbit at 4500 (million km) it seems the factor has to do with the overall diameter of the system and is in any case 1/100 of the radius of the Neptune orbit in our system, measured from the heart of the sun.
This is of course a significant fact, because it confirms a  mathematical standing wave order in progressions in the orbits and the emergence of the factor 10; all the other orbits are a doubling of the power of 2 and again we see that the orbits follow a factor 9 cycle. Our model just fits perfectly.

I have to remind you that what I present is the basic geometry, but since it is a system which is not immune to some catastrophic impacts, such calamities can breach the balance of the system and reverberate over many, many centuries having an impact on the wider environment. In general the system will be built in a way that is capable of absorbing local catastrophes, which certainly do exist. It is only on the scale of  Saturn, Uranus and Neptune, where the distance to the Sun is so vast and the initial pressure of the sun does not reach, that we see the basic geometrical grid coming into its own.
Our Solar system presents itself mathematically very orderly to its own wider environment (notwithstanding its slightly ‘chaotic’ innards) and it may be even partly shaped by that wider environment as well.


Another earlier exploration of solar system data with striking corroborations of the used model.




9- fold resonances in solar system

Here follows a text from 2003 slightly modified and improved, about the number-9 patterns of order in the solar system. We have to realize that the data are averages of elliptical orbits which are not completely in the same plane (co-planar), so it all moves according to geometries with some real systemic frictions that can be theoretically ironed out by our simple whole number relations, which would represent the underlying long term resonances and logic.

Solar system resonances
The first 6 inner orbits ( asteroid belt included) of the solar system are pushed out by the tremendous radiation and deep-field pressure of the sun’s presence, but, remarkably, as mathematical progression they keep centring on Mercury’s orbit in traceable concentric circles of progressive multiples of 45 million km gap widths, this shows dramatically in the asteroid belt where concentrations of debris neatly follow this 45million km grid
In a sense the inner concentric order is pushed out of center by the distance of  Mercury to the Sun (58, but taken as 60 million in our theoretical model) and it is only starting from Mercury that the concentric circles are observable in the range of 45 million km gaps: 45, 45, 90, 180, 360, 720 (660), 1440 , (1620).

perihelion Mercury
Venus as the first distance at 50 million km from Mercury, pushed-out of order not by 45 or 60,  but by 50 million km to 108 million km (3% off t-value 105) from the Sun, Earth at 90 pushed-out to 150 (data 149,6; 0.25% off), Mars from 180 to 240 (data 228, 5%), the asteroid giants from 360 +60 to 420, pretty spot on and conspicuously then in the rest of the asteroid belt in neat bands of 45million gaps (see below); finally Jupiter from 720 + 60 to 780 (data 778, 0.3%), so there is an ‘original’ pattern of progressive doubling by a factor of 45 million, this is disturbed by the presence of the sun which triggers the initial push out of about 60 million  (58 million, Mercury) and this push-out of 60m extends all the way up to Jupiter, the major influence in the stability of the system, so it seems as if a complete pattern is homogeneously expanded with one factor ( of about 60 million) over the inner solar plane including Jupiter, excluding Saturn etc. This push-out must be due to the radiation of the Sun, but there is more to it one suspects.

The sun has a diameter of 1.3927m km, divided by 45000= 30.94888… , which we turn into 31.111 = 22V2, would this be the key to the resonance field of the sun at unit 45000km, which is evident.

1,400,000  :  45,000  =  31.1111..   (280/9)  or  22V2.  We see here a radius of 700,000km for the sun, we must find a rationale for a standing wave of 45000Km emanating from the body vibration of the sun. To what extent does the a-synchronous rotation of  poles and equator of the sun form a source for the standing wave . This is the more complicated because of the first 60,000km push-out, only after which the progression regularity sets in, so for some reason the 45 grid survives the ‘violent’ (radiation?) push of 60,000. This may be due to the disparity of the sun body internal rotation which must give a lot of stress in its own right.

There is suddenly more to these data then there was before, that is the main point.

Asteroid belt
Especially the asteroid belt reveals the concentrations of matter between gaps of about 45 million km, which supports the here supposed overall standing wave pattern of the solar system; the main concentration of asteroids is at about 420 million km, then another major concentration at about 465 million km and smaller rings at 510, 600, 645, all in the 45 million pattern, possibly coming from an excess of the initial 60 million from the sun (420+45 = 465 +45 = 510 +90 = 600 etc). or more directly related to vibration of the inner Sun.
The interesting thing here is that the orbit of Saturn lies about where it should, so without the outward pressure of the sun, it should theoretically be at 1440 , it is (now) at 1427, less than 1% off the t-value, and Uranus makes good by being near perfect at 2870 instead of 2880 (0.3%), Neptune completes the ring-system as ninth orbit and as eighth planet at the enigmatic, but very precise, 4500 million km mark (4497, 0.0%), which is 100 times our initial unit of  45 million.
Who can deny there is a transparent order here once we slightly adapt our numbers?

So the sequence is the following

Me        Ve       Ea       Ma     Aster.      J            S          U         N
0           45       90       180      360      720      1440    2880   4500
58      108      149      228                778      1427    2870    4497
60        105      150      240      420      780      1440    2880    4500
00    45       45        90        180      360     660      1440     1620
00          1          2           4          8        16         32        64       100
00           1²       √2²       2²       2³        4²      2².2³       8²       10²
00           1        √2         2        2√2      4         4√2       8         10

What we see on the first number row is the scientific orbit radii data in millions of kms, with Mercury’s orbit as 0.
The second row gives the ideal proportions on theoretical geometric  and wave grounds, but because we deal with a dynamic system you can kind of feel the stress in the data, once you can discern the progression, but still we see that the differences are small, not exceeding 13 million (Saturn, less than 1%), and sometimes nearly spot on, so the logic is in place, the model fits. We have to keep in mind that these radii numbers are averages of elliptical orbits not exactly in the same plane.
The third row gives the actual progression of doubling, so that regards the standing wave of gravity I like to mention. We see that the 60 million outward push reaches unto 778 mil but does not go beyond Jupiter and with Saturn we are truly back in the original logic of the geometrical frame (720-60=660). So the solar system’s outward appearance in the outer three orbits is orderly and gives the keys to its inner mathematical order.
The fourth row for 0 – 45 – 45 shows the perfect doubling of the gaps and note the anomalies of 660 and 1620, which relate as 11 : 27.  The one is in between Jupiter and Saturn, the other between Uranus and Neptune: 660 = 11 x 60 and  1620 = 27 x 60. So we see that the 60,000 occurs also repeatedly as basic resonance.
The 1, 2 , 4 , 8, 16 row is the intrinsic mathematical order and we see how that works out in the squaring of roots and square root relations, in the next row, whatever that may mean.(the square root ratio often occurs in these systems)
You see that at the orbits it all regards doubling except for what is the outside orbit of the system, the closing geometry, so it is as if you have a 11 : 7 doubling mechanism in the inner orbits, and then 10:9 resonance mechanism at the outer orbit as the closing ratio; this also fits the 11:27 ratio. Computers must be able to make some pretty interesting dynamics out of that.

The solar system is an inertial standing wave out of which even the planet masses have been proportioned along mathematical rules and ratios as I have ‘published’  in the Theory of Resonance over 12 years ago now.


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