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Subject:  Mathematics and physics of the decision and perception (recognition) process; conclusions
Some keywords:  Discrete mathematics, finite past, finite calculus, discrete physics, quantum physics, relativity, proper time, decision, random walk, binomial distribution, pascal triangle, graph theory, recombination, measurement, recognition, perception, information theory, combinatorics 

The Recombination Principle:
Mathematics of decision and perception

Abstract
The information paths from our decisions to our perceptions are finite, they branch finitely many times within the framework of a combinatorial law. Intention of this publication is to show concepts and also to propose mathematical approaches to this topic.
 

Foundations

Strict argumentations: The information, which we perceive resp. measure from (past) physical reality, influences our decisions. But obviously also (our) decisions influence (future) physical reality. Every decision and every measurement implies the choice of one from several possibilities. This choice contains information which must be transferred. Therefore it isn't free of charge, it needs time and free energy. If this is completely ignored in mathematical physics, i.e. if the axiom of choice and as consequence continuous number sets (together with traditional differential and integral calculus) are used, there is a problem in the foundations - for these models cannot exist an equivalent in physical reality.

After illustration of the problem initial suggestions for consequent discrete mathematical approaches are made in the descriptive  text . The "probability to come back" of own information plays a central role. Proper time proves to be proportional to the sum of probabilities for return to the starting point (symmetry center) of a Bernoulli random walk. The formulae indicate that all (in form of free energy) by us sent information will be later perceived by us again in recombined form, and that the probability for this goes to 1 (in the course of proper time).
 

The text also can be viewed off-line. After the download process unpack the file "wqh.zip" into an empty directory. You will get most files of this site. Then start viewing by opening the file index.htm  with your browser. Among others I tested it with internet explorer.
 
 

Additional:
If you are interested: The combinatorics of real (discrete) physics can soon become so complicated that Software and computer emulations are necessary for us to get some insight.
If you have enough time: There are also some older texts  (in german language).
If you like it: There is also some music.