Double Solution with Chaos: Completion of de Broglie's Nonlinear Wave Mechanics and Its Intrinsic Unification with the Causally Extended Relativity
Feb, 1999Citations per year
Abstract: (arXiv)
A system of two interacting protofields with generic parameters is unstable with respect to unceasing cycles of nonlinear squeeze (reduction) to randomly chosen centres and reverse extension which form the causally probabilistic process of quantum beat observed as elementary particle (quant-ph/9902015). Here we show that the emerging wave-particle duality, space, and time lead to the equations of special relativity and quantum mechanics thus providing their causal extension and unification. Relativistic inertial mass (energy) is universally defined as the temporal rate (frequency) of the chaotic quantum beat process(es). The same complex dynamical processes and mass account for universal gravitation, since any reduction event in the electromagnetic protofield involves also the (directly unobservable) gravitational protofield thus increasing its tension and influencing quantum beat frequencies of other particles. This complex dynamical mechanism of universal gravitation provides causal extension of general relativity intrinsically unified with causal quantum mechanics and special relativity, as well as physical origin and unification of all the four 'fundamental forces' (also gr-qc/9906077). The dynamic origin of the Dirac quantization rules is also revealed and used for the first-principles derivation of the Dirac and Schroedinger equations describing the same irreducibly complex, internally nonlinear interaction processes within field-particles and their simplest systems (quant-ph/9511034 - quant-ph/9511038). The classical, dynamically localised behaviour naturally emerges as a higher level of complexity appearing as formation of elementary bound systems (like atoms).Note:
- 36 pages, PostScript 3.0; Dedicated to Louis de Broglie, the leader of the causal science of the twentieth century (see also quant-ph/9911107); contains material from the author's book "Universal Concept of Complexity by the Dynamic Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the Ultimate Unification of Knowledge" (Kiev, Naukova Dumka, 1997; in English), see physics/9806002; explanation of the observed wave properties of many-particle systems is added in the revised version (section 2, p. 30-32) •
- Concentrated presentation of the corresponding chapters of author's book 'Universal Concept of Complexity by the Dynamic Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the Ultimate Unification of Knowledge' (Kiev, Naukova Dumka, 1997, 550p., in English)
- quantum mechanics: nonlinear
- electromagnetic field
- chaos
- causality
- duality
- relativity theory
- quantization: Dirac
- unified field theory
- hierarchy
- bound state
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