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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   Today, after Emptiness has retired more than 13 billions years ago, when She could not cope with the rotating (spinning) number circles, a conscious observer sits in the center of the now rather compact system of interlaced horn tori, measuring the world around him. Together with the horn tori he and all particles assembling him perform the revolution ('torsion') of all torus bulges respectively the rolling along the imaginary common axis of all tori, like a three-dimensional symmetric yo-yo or Diabolo toy.   Additionally he and all his particles perform the rotation. Rotation means spinning around the axis of symmetry through the center of the horn tori. Revolution is the rolling of the torus bulge along this axis, combined with the locomotion on the axis.   (German artist Jochen Valett invented a toy that demonstrates this combination of movements. See this demonstration, and/or this one.)   Every observer sits in such a center of interlaced horn tori, with slightly different set of tori. When rolling along the imaginary axis, the horn tori change their sizes, they become bigger or smaller, determined by rotation and revolution. To bring two observers to a common point (same center), they have to adjust the size of their respective tori to finally being identic.   It is not very difficult for imagination - anticipating later interpretations -, to identify every single horn torus as the actual effect of one particular elementary particle, the size representing its 'distance', the rotation (spin!) perhaps something like 'energy', 'mass', 'frequency' etc. The imaginary axis is our real time, but you easily recognize, that time then is redundant, what means: not necessary as own dimension. Horns of all very big tori, equivalent to big distances of particles, do the same as time can do. So, flow of time - keeping time as auxiliary variable - is a kind of rolling.   And it is obvious - equally as anticipation -, that speed of rolling along the axis can be identified with velocity of light! Whatever speed you choose for locomotion, the geometric and dynamic situations always remain exactly the same, even when you make it infinitesimal small. A very simple but anyway sophisticated mechanism equals this speed immediately by changing the reference scale, what from inside the system cannot be recognized. It is the genial self-metrisation of horn tori that perform both turns, revolution and rotation.   In this image with all the interlaced, nested horn tori - local effects of all existing particles - the whole universe is represented in every single spatial point. And every observer being a rather compact set of spinning bulging horned tori. A nice, cute, horny mental image, isn't it?   close

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

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!