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Horn Torus - 'Geometry Of Everything'  by Wolfgang Daeumler

a small selection of short excerpts from DornTorus (German)

1.  The Elimination Of Emptiness - a short creation story

2.  How did Emptiness count numbers? - quintessence of idleness

3.  Mental leaps - time is redundant

4.  Has time a direction? - what means time reversal?

5.  Real or imaginary world? - imagination and decision made easy

6.  Engrams - impediment to comprehension

7.  Dynamic geometry - renunciation of dimensionality

8.  Spatial point - without dimensions - what in the world is that?

9.  Analogies - dynamic geometry versus physical entities

10. Identifications - unrolling lines versus reference objects of physicists

11. Examples - a sneak peek as teaser

12. Dimensionality - not a physical term!

13. Gravitation and forces - intrinsic times and matter of rotation

14. Patterns and strings - of winding lines and tiny snippets

 15. Metric - when dynamic processes induce discrete values   Several times I used the term 'self-metrisation', but didn't explain it sufficiently. I will do it now: To undertake measurements within a space, be it spanned by coordinates or only a range of numbers, we need a unit to establish relations between occurring values. In a static continuous space formed by linearly independent coordinates no element can be distinguished as particularly eligible for that purpose. We have to choose units arbitrarily and artificially. Different with dynamic horn tori! They can relate revolutions to rotations and vice versa. Their cycloids produce patterns, self-contained curves, Lissajous figures on their surfaces, and they show significant dynamic properties: number of rotations per revolution and number of revolutions per rotation.   There is exactly one situation, where the turns are symmetric, namely when rotations per revolution is the same as revolutions per rotation. With this special case, i.e. revolution : rotation = 1:1, we have an unit, which all other situations and sizes can be related to. Coming from both sides of the numerically obvious symmetry we now have a smallest possible unit for revolution and for rotation: 1 (one) each.   After doing a couple of mental leaps and perhaps mathematical formulations nothing and nobody can inhibit myself to associate one full rotation with reduced Planck's constant ħ and one full revolution with Planck time or - because time is redundant - with the quotient Plank length / speed of light, LP/c. Speed of light c, as mentioned already, is represented by the circumferential speed of revolution. No matter what value one chooses for c, the geometric situation and all relations persist in a self-similar way, c always seems to stay constant, seen from inside the set of horn tori. And the well known relations between the mentioned physical objects and quantities achieve imaginable meaning.   Consequently fractions of one full rotation and fractions of one full revolution are not defined, don't occur in the dynamic processes. But that doesn't restrict the variability of the image. The opposite is true! And the analogies to other known and accepted models increase. Example: the electron resp. every horn torus with half-integral ratio of turns (fermion) needs two steps of rotation, two full turns, to match the original shape.   As already explained the complete unrolling line or cycloid forms one entity, starting with size zero (resp. minimum size), then along many 'blades', formed by very fast torus bulge revolutions, then passing striking resonances, especially as 3- and 2-blade horn tori, which we have identified as quarks and nucleons, continuing to the electron (two windings or rotations per bulge revolution) and farther to bigger horn tori with many windings, identified as photon. Every part of the entity, always emerging as horn torus, can be compared with the unit, the standard dynamical horn torus with ratio 1:1 for 'measurements': one rotation per one revolution and one revolution per one rotation. With constant circumferential speed c size of the tori is small for ratio revolution : rotation > 1:1 and big for < 1:1. All existing entities, perhaps an infinite number, have this ('conical') shape, all exactly the same, plus the respective mirror images. Every horn torus of an entity with a specific size has its defined place within the entity. And in every spatial point all entities are represented by one horntorus each, most of them with different sizes.   close

16. Grand unification - in plain common speech

17. .....

all texts in one file as   docx   or as   pdf
Note:
The horn torus, we discuss here, shall not be seen as something like a three-dimensional solid figure!
Horn tori are not embedded in our three-dimensional world, but span a dynamic space of their own.
In the pure analogous model they only symbolise manifold intrinsic properties of complex numbers:
as dynamised entities they bear highest symmetry, creative capabilities and incredible complexity,
so the good old Riemann sphere better should be replaced by the much more universal horn torus!

Remark:
The horn torus model is not a consistent physical or mathematical theory.
Regard it as suggestion to leave fixed habits of conventional mainstream thinking now and then.
Playfully, just for fun! - Sometimes crackpot ideas inspire ...
The matter is intended to be an exciting game, to exercise imaginative power
and ability to think in abstract terms (helpful for understanding physics ;-)

Motif:
mathematical rules exist 'all the time' since there is more than nothing
in other words: mathematical rules are involved in creating the universe
or: emerging of a mathematical rule is equivalent to well-known Big Bang

nature is mathematical, one mathematical code rules our world

that code and mathematics in itself definitely are not inventions of humans -
we only have developed a complex language to describe simple preexisting laws!
we still are far away from seeing the simplicity in natural laws, but we know:

all really fundamental physical laws are pure mathematics

and it's impossible to comprehend laws of nature without playing the math game
mystic, spiritual and all esoteric reflections do not lead to true knowledge -
like it or lump it - so clear away the space-occupying rubbish in the brains!