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The Recombination Principle: The decision and perception (recognition) process as cause and consequence of multiple recombinations, happening from moment to moment

Preliminary note and hint for reading

1      Infinity resp. infinite diversity is permanently emerging (because of differentiation and decision) and not a priori (before present, in past) existing

2      To the usage of infinite sets in mathematical physics

2.1      The perceptible (physical) reality as that, what is (exactly) conceivable within finite time

3      Model concepts like infinite continuous sets, Hilbert spaces and the axiom of choice permit the disregard of the natural (temporal) order

3.1      In principle restricted validity of the used models

3.2      Task: Finite approach the existing, physical reality

3.3      Finite approach by combinatorial inspection of information paths

4      Geometric appearance as (statistical) result of a discrete combination law

4.1      No isolatedly definable metric units, no "smallest particles" resp. "building blocks" of matter

4.2      Special functions as dimensionless conversion factors

4.2.1      Discrete considerations to nonlinear relativistic relations can lead to a bridging from relativity theory to quantum physics

4.3      Correlation (of sizes) and flow of information

4.4      Combinatorial considerations to the ways of information (Q0 triangle) (***)

4.5      The middle column as the vertical symmetry axis, the column of the central meeting probabilities of pattern and counter-pattern

4.5.1      Correlation of decision resp. perception (orthogonality as information theoretical concept)

4.5.2      Proper time proportional to the sum of the central meeting probabilities; input is descended from former output

4.5.2.1    Proper time without reference system changes; row number n and distance covered during constant acceleration

4.6      The introduced model (Q0 triangle) needs additions

4.7      Directed flow of information, centrally "flowing out" probabilities: Q1 triangle

4.7.1      Orthogonal change of direction in recombination points (multidimensional approach); Separation (of inside/outside, past/future) due to perception (of something separable), due to differentiation

4.7.2      Quantitative considerations, symmetries

4.7.3      Differentiation of the Q0 triangle, solutions of the quantum mechanical oscillator, Hermite polynomials

4.7.4      Possible further (open) combination possibilities

4.7.4.1    Strength of interactions

4.7.5      Neg. sum of central "outflowing probabilities" multiplied by the sum of the central meeting probabilities yields 1

4.7.6      An information theoretical interpretation of the Planck effect quantum h

4.8      Many (arithmetical) coherences

4.8.1      The mean deviation in the Q1 triangle is constant

4.8.2      Q1 as finite difference of Q0

5      Some further bridges to current concepts of quantum physics

5.1      Probabilities and probability amplitudes

5.2      Example of a (discrete) scalar product

5.3      Deduce of Heisenberg's uncertainty (indeterminateness) relation using Q0(n,k) as discrete state function (***)

5.3.1      Interpretation: Operator works on all way possibilities

5.3.2      Perceptible equivalent of information

5.4      Information theoretical interpretation with simple example

5.4.1      Example for an operator on a discrete state function

5.4.2      Remark: Results of physical experiments as vectors

5.5      Combinatorial considerations to entangled quantum mechanical states

5.6      Discrete representations (***)

5.6.1      Discrete representation of sine, cosine, rotations (***)

5.6.2      Discrete representation of the exponential function

5.6.3      Discrete representations of matrix exponential functions (SU(N)...)

5.7      Pauli matrices, quantal bits

5.8      Lie algebras

5.8.1      Cartan matrices

6      Bridges to theory of relativity

6.1      Bridges to special relativity

6.2      Bridges to general relativity

6.2.1      Gravitation as result of (small) correlation

6.2.1.1    Gravitating mass

6.2.1.2    Inert mass

6.2.2      (Dynamic length scale)

7      Recommended graph theoretical research

8      At important considerations more consequence is necessary

9      Addendum

9.1      Maxwell equations

9.1.1      Anti-symmetry of the combinatoric ways through magnetic dipole

9.1.2      Characteristic of temporally differentiated perception

9.1.3      First steps beyond the flat model

9.2      Initial elementary considerations

9.2.1      Construction of an axiomatic system

9.2.2      Creation of new information by decision for an order within time-unsharpness (indefiniteness) (***)

9.2.3      Possible initial situation in the Q1 triangle (attempt of a first outline)

9.2.3.1    Past

9.2.4      Creation of free energy resp. proper time (by a decision) as basic prerequisite for information transfer - a quantitative consideration

9.2.4.1    Transferable information quantity in dependence of available free energy, time and number of information channels

9.2.5      Potential for information acquisition and information creation as essential feature of consciousness

9.2.5.1    Consciousness in computersystems???

9.2.5.2    Definition of determinism resp. "determined development"

9.3      The concept "probability" in relation to the measuring proper time

9.3.1      The proper time unit

9.3.2      Unity of consciousness and contradiction liberty

9.3.2.1    To the principle of the excluded third

9.4      No alternative to primary (initial) symmetry

9.4.1      Presence as center of the horizontal ("left-right") symmetry

9.4.2      No vertical ("before"-"afterward") symmetry, no conservation but increase of information quantity

9.4.2.1    Vertically reflected scalar product (point symmetry?)

9.5      Elementary particles as defined constellations relative to the origin

9.6      Cause and consequence – hen and egg

9.7      Thoughts to extreme astrophysical extrapolations

9.8      No contradictions because of (simultaneous) perception of multiplicity

9.9      Some supplementary philosophical aspects

9.9.1      After recombination the own given information pattern returns

9.9.2      Faster than (Darwin's) selection principle: First parallel approximative foresight within small units, then large-scale experiment

9.9.2.1    In the long run the good memory is decisive

9.9.2.2    Objective reasons for confidence

9.9.3      No exact anticipation of future

9.9.4      Quantity of the own long-term influence on the surroundings

9.9.4.1    Huge differences of the orders of magnitude

9.9.5      Perception in favor of the prettier alternative

9.9.6      Good reasons for gratitude

10      Bibliography

 

Concise formulary