Universal Concept of Complexity by the Dynamic Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the Ultimate Unification of Knowledge |
Contents
Extended Abstract 13 | 9 |
To the Reader | 19 |
The End | 29 |
Dynamical chaos and complexity in Hamiltonian | 37 |
Quantum chaos in Hamiltonian systems with periodic perturbation | 58 |
Dynamic uncertainty and fractal structure of quantum chaos | 76 |
Discussion | 82 |
Fundamental multivaluedness nonintegrability completeness | 92 |
Particle coordinate measurement | 131 |
A scheme of the complete causal wave | 146 |
Quantum field mechanics as the unified complexdynamical extension | 157 |
Conclusion | 266 |
Universal Science of Complexity | 275 |
Fundamental arborescence of complexity | 330 |
Conclusion | 510 |
Revolution of complexity and possible ways of development | 517 |
Auxiliaries for the effective dynamical function formalism | 101 |
Incompleteness of quantum mechanics and its involvement with chaos | 107 |
Causal indeterminism | 114 |
The Beginning | 531 |
Common terms and phrases
actually analysis approach basic Broglie canonical causally random chaotic characteristic classical classical mechanics cognition complex behaviour complex dynamics complex system concept conservation law correspondence principle corresponding decoherence definition degrees of freedom described dynamic complexity dynamic redundance dynamic uncertainty effective eigenvalues elementary field elementary particles energy entropy existence extended fermionic field-particle FMDF formalism fractal function fundamental dynamic generalised global gravitational Hamilton-Jacobi Hamilton-Jacobi equation Hamiltonian hierarchy interaction interpretation intrinsic involved level of complexity linear science linear-science manifestations measurement multilevel multiple realisations multivaluedness natural nonlinear notion objects observed obtained ordinary paradigm particular perturbation photons physical probabilistic problem properties qualitative quantization quantum beat quantum chaos quantum field mechanics quantum indeterminacy quantum measurement quantum mechanics realisations reality reduction regime regular Schrödinger equation science of complexity simulation solution space spatial specific subsection symmetry theory trajectories transformation transition virtual soliton wave wavefunction