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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?   It doesn't make any difference whether She lets flow the imaginary numbers through Herself, attending an infinitesimal short moment to every single number, or to run along the unlimited number line with infinite velocity. But the way of counting by The Emptiness is quintessence of idleness:   She remains in one spot. She has bended down the line to every number to a circle, the original number line being tangent in Her position, every size of circle corresponding to the quantity of a particular number. Then She pushes all circumferences only an infinitesimal little bit to roll along the number line, every circle with identic circumferential speed.   Now She can count all numbers without need of leaving Her bed! She only registers the angular velocity of a circle to recognize the number. She can do that at her position, where all circles touch the number line. The smaller the number the higher this velocity. The bigger the number the smaller the speed, approaching zero for very big numbers.   It doesn't make any difference whether She counts the number itself or the reciprocal value, provided that She always does it the same way.   When The Emptiness counted that infamous real number, She prior accidentally had performed an infinitesimal spin away from all circle's direction, equivalent the rotation of the whole system of circles around the number line axis. When the system of circles had performed one full rotation*, so that She could continue counting, the single real - and natural - number '1' had appeared, immediately starting that battle of eradication.   Real numbers with their infinite decimal length nowadays are not all realized in nature. Most have disappeared already during that big battle, shortly after counting wrong by The Emptiness. Our real numbers bear their name wrongfully. Reality exists of discrete values - continuum is illusionary mathematical construct - and the disappearance of most numbers (without any trace?!) has left wide gaps in the range of real numbers. (- Some call that 'inflationary scenario'! -)   *Note: One full rotation of a circle around a tangent forms a horn torus.   closebackground

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

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!