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(explanatory video)

Horn Torus - 'Geometry Of Everything'  by Wolfgang Daeumler

a small selection of short excerpts from DornTorus (German)
manuscript 7/1988, printed 1996-98, translation provisional

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?   The mental image of nested (interlaced) horn tori gives evident answers to various fundamental questions, the first concerning time:   In the horn torus image the mode of interaction between particles in our surrounding and all other particles of the universe, the huge number of the very distant as well, implicates a property that we identify as time. We will see that the time axis can be replaced by the horns of big tori and that makes an additional dimension, representing time, completely redundant.   So, as time seems to be an auxiliary psychological construct and obviously is artificially introduced into physical equations to describe natural laws, the arrow of time doesn't exist a priori.   Consequently it doesn't make sense to raise questions about reversal of time. One can reflect about meaning of interaction in the 'opposite' direction and, maybe, you will come to this conclusion: reversal revolution of a horn torus annihilates this 'particle' and a corresponding one, removes both from 'time' axis and leaves behind only the difference of rotations. And, maybe, you will associate this process with antiparticle annihilation. Accordingly, when using time as auxiliary dimension, you will describe antimatter as moving backwards in time. And in our system time-reversal has no relation to the law of cause and effect.   Are different times thinkable, distinct from our experienced time?   Easily! The direction of revolution - time axis of our explorable universe - is haphazard. In a superordinated space there are many, perhaps infinite different directions. Imagine our time axis fixed in the analogon to our three-dimensional space. Imagine a second time axis, tilted a bit, and you see, its horn tori cannot interact with ours - they don't have the same tangent as ours. Perhaps they are part of a different universe. Perhaps there are many, perhaps a infinite number of universes outside our time axis. And we cannot recognize them. Or can we? What happens, when all time axes change their directions in the superordinated space? Perhaps in a way like precession? - Thrilling reflections ...   Many more exciting interpretations concerning time arise from the complex horn tori properties, e.g. interesting 'intrinsic' times. Disclosure will follow ...   close

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!