a small selection of short excerpts from

manuscript 7/1988, printed 1996-98, translation provisional

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!Ok, I admit, one has difficulties to imagine and to visualise the dynamic horn torus system as basis for constructing an universe. But can we be really happy with our three- or four-dimensional idea? Is, conversely, the perhaps infinite extension of space, universe or multiverse better conceivable? - Hold a human hair with extended arm against night sky to cover a far afield celestial object. In case it is a galaxy, the distance will be some 1 billion light-years, and it takes 100 000 years for light, to travel from left edge of your hair to the right. Is even this very simple example really imaginable? - Every proof of three-dimensional space as optimum for the existing physical laws and hence for the evolution of an universe and for development of life is evidence for efficiency of ineradicable fixated engrams! That's a really weird fact. The variables used in such 'proofs' always are partly deduced from the dimensional description. Three-dimensional space in mathematical sense is not as self-evident as it is in our engrams. In actual fact it is already a mighty, most complex and complicated mathematical construct with more than 20 necessary axioms to form it. This realization and postulations of linearity, continuity and continuum as set of punctiform elements let our space of perception appear not to be very fundamental, so not to exist in nature a priori. And - important - it has no
natural metric to be measured. Methods of measurement, defined strictly within the rich
system of axioms, follow very complex rules and are even not possible in a logically consistent
way when we reveal and avoid all engrams. Furthermore in all spaces without a possibility of
self-metrisation the origin and values of dimensionless physical constants will stay secretly
and unexplainable till doomsday.Well aware that every explanation of natural laws is a describing image, a rough copy, a
simplifying model, and after every model so far doesn't answer all important questions, we make
another try, not with three dimensions (Newtonian physics) nor four (relativity), not five
(Kaluza-Klein) nor eleven (standard model) and not 26 or so (strings) - no, we do not use the
term dimension at all! We banish dimensions totally from our horn torus game, which provides us
another crutch to hobble around the never reachable and imaginable truth, only to enjoy the
short moments of supposed close contact.To handle dynamic horn tori we need some basic requirements: just this conceptual suppression of dimensions or at least abandonment of their linearly independence (what means the same) and negation of continuum respectively continuity and additionally of locality. Linearity of the mathematical frame in which all is embedded, is not required, since linear properties of variables are possible in non-linear spaces too (after all quantum-mechanical formalism shall be allowed to persist!). With these conditions we are equipped with much more complex properties than our linear three-dimensional space, inclusive all extended and curved versions, ever can provide. The dynamically nested horn tori resp. their cycloids not only supply us with all the required properties, they also create the mathematical embedding frame without need of further axioms, i.e. they generate their space themselves, whose natural self-metrisation
gives us the possibility to evaluate constants, and the lines within one entity simultaneously
show patterns, which can emerge as various physical objects.Isn't it that, what we are looking for? close |

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

The horn torus, we discuss here, shall

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

as

so the good old Riemann sphere better should be replaced by the much more universal horn torus!

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 ;-)

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

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:

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!

mathematics?

it from bit?

... secrets!