dorsal/arxiv
View SchemaDouble Solution with Chaos: Completion of de Broglie's Nonlinear Wave Mechanics and Its Intrinsic Unification with the Causally Extended Relativity
| Authors | Andrei P. Kirilyuk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9902016 |
| URL | https://arxiv.org/abs/quant-ph/9902016 |
Abstract
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).
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"abstract": "A system of two interacting protofields with generic parameters is unstable\nwith respect to unceasing cycles of nonlinear squeeze (reduction) to randomly\nchosen centres and reverse extension which form the causally probabilistic\nprocess of quantum beat observed as elementary particle (quant-ph/9902015).\nHere we show that the emerging wave-particle duality, space, and time lead to\nthe equations of special relativity and quantum mechanics thus providing their\ncausal extension and unification. Relativistic inertial mass (energy) is\nuniversally defined as the temporal rate (frequency) of the chaotic quantum\nbeat process(es). The same complex dynamical processes and mass account for\nuniversal gravitation, since any reduction event in the electromagnetic\nprotofield involves also the (directly unobservable) gravitational protofield\nthus increasing its tension and influencing quantum beat frequencies of other\nparticles. This complex dynamical mechanism of universal gravitation provides\ncausal extension of general relativity intrinsically unified with causal\nquantum mechanics and special relativity, as well as physical origin and\nunification of all the four \u0027fundamental forces\u0027 (also gr-qc/9906077). The\ndynamic origin of the Dirac quantization rules is also revealed and used for\nthe first-principles derivation of the Dirac and Schroedinger equations\ndescribing the same irreducibly complex, internally nonlinear interaction\nprocesses within field-particles and their simplest systems (quant-ph/9511034 -\nquant-ph/9511038). The classical, dynamically localised behaviour naturally\nemerges as a higher level of complexity appearing as formation of elementary\nbound systems (like atoms).",
"arxiv_id": "quant-ph/9902016",
"authors": [
"Andrei P. Kirilyuk"
],
"categories": [
"quant-ph",
"chao-dyn",
"gr-qc",
"nlin.CD"
],
"title": "Double Solution with Chaos: Completion of de Broglie\u0027s Nonlinear Wave Mechanics and Its Intrinsic Unification with the Causally Extended Relativity",
"url": "https://arxiv.org/abs/quant-ph/9902016"
},
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