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 comprehensionpreliminary note: the word 'engram' is used here in a neuroscientific and psychological sense, has nothing to do with the meaning given by a certain organisation. The horn torus way of looking at things does not leave room for sectarian doctrines of salvation or any other mystical and spiritual interpretation - like it or lump it! Equally no doubt will be raised regarding validity of widely accepted major theories, and neither the wheel shall be reinvented nor a perpetuum mobile is planned ... Physical description of macro- and microcosm is formulated as quantum field theory. Theoretical and experimental successes let this method appear the right one, but many physicists feel discontent due to epistemological gaps and discrepancies or when confronted with consequences that contradict our common sense. The most important part of common sense is the imagination of space and time, probably rooted in properties and function of the brain. Everybody has the same or similar associations to words like point, distance, direction, volume, space, flow of time, locomotion, velocity etc. Such natural associations are self-evident, don't need explanation, are engrams. Every action of man and beast is related to engrams and the list of all our engrams probably would go beyond the capacity of my computer's memory. (edit: this was written in times of first personal computers :-) Three-dimensional space is the most persistent engram - inviolably given, ineradicable fixated. Even physicists, despite having learned abstraction, always refer to it, in all dimensional enhancements, all dynamic geometries, all topological sophistications and - likewise - in quantum field theories. Physical variables there always can be projected someway into the three-dimensional space, which is ever embedded in the comprehensive system as base or parameter for alteration of values. Three-dimensional space matches our consciousness, is congruent with our engrams, seems to be simple. But just this simplicity, which ideally enables us to cope with the challenges of daily life, comes at a price: an enormous complex formalism is required to formulate laws of nature and to describe physical reality - and just this simplicity makes comprehension of some aspects of reality so difficult or even impossible, and perhaps it is the reason why we have to introduce presumptions, arbitrary parameters and gauge mechanisms. ... The original text tells much more about engrams. Here we content ourselves with internalising this last mentioned point about the price for simplicity of imagination. This price I endeavour not to pay. I prefer a simple formalism for - not surprising - the price of a much more complex imagination, that does not perfectly match human consciousness. It is indeed a matter of personal preference and subject to the pleasure when playing mental games, pleasure and fun being main impetuses. I promise: game is fun! close |

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

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!