to home

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 existing as constant entity (completed in past)

1.1 A large number, which is much smaller than ...

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 to the existing, physical reality

3.3 Finite approach by combinatorial inspection of information paths

4 Geometric appearance as (statistical) result of a discrete combinatorial 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 In the two-dimensional model the total number of steps resp. central meeting points is proportional to t^2

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

4.5.3 In case x=E0/E the symmetry center k=0 corresponds to v=0

4.5.3.1 At this the mean value of k/n is proportional to the quotient wave number/frequency of matter waves

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 QW (x) corresponds to the expectation value of |k/n|

4.7.7 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 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 Inertial mass

6.2.2 (Dynamic length scale)

7 Recommended graph theoretical research

7.1 Widely ramified graph - nonlocal seeming effects

7.2 General guidelines for reality conform algorithms

8 Bibliography

9 Addendum

9.1 Maxwell equations

9.1.1 Anti-symmetry of the combinatorial ways through magnetic dipole

9.1.2 Characteristic of temporally differentiated perception

9.1.3 First steps beyond the flat model

9.1.4 A discrete approach to the vacuum Maxwell equations and the fine structure constant

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 to make an initial outline)

9.2.3.1 Past

9.2.4 Creation of free energy and 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 necessity of non-contradiction

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 - asymmetry as precondition of all geometrical appearances

9.6 Thoughts to extreme astrophysical extrapolations

9.6.1 Extrapolation of approximative models leads to errors

9.6.2 Perhaps discrete extrapolation can give hints

9.7 No contradictions because of (simultaneous) perception of multiplicity

9.8 Some supplementary philosophical aspects

9.8.1 At important considerations more consequence is necessary

9.8.2 Uncertainty (lack of information or free energy) multiplied by proper time

9.8.3 After recombination the own given information pattern returns

9.8.4 Free energy and responsibility

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

9.8.5.1 In the long run the good memory is decisive

9.8.5.2 Objective reasons for confidence

9.8.5.3 Inevitability of conscious existence

9.8.5.4 Perfect equitableness

9.8.6 Cause and consequence – hen and egg

9.8.7 No exact anticipation of future

9.8.8 Quantity of the own long-term effect

9.8.8.1 Long-term importance of the "own" non-contradictory contribution (despite huge differences of the orders of magnitude)

9.8.9 Perception in favor of the prettier alternative

9.8.9.1 We can be valuable

9.8.10 Good reasons for gratitude

 

Concise formulary