dorsal/arxiv
View SchemaQuantum Cybernetics: A New Perspective for Nelson's Stochastic Theory, Nonlocality, and the Klein-Gordon Equation
| Authors | Gerhard Groessing |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201035 |
| URL | https://arxiv.org/abs/quant-ph/0201035 |
| DOI | 10.1016/S0375-9601(02)00071-3 |
Abstract
The Klein-Gordon equation is shown to be equivalent to coupled partial differential equations for a sub-quantum Brownian movement of a ''particle'', which is both passively affected by, and actively affecting, a diffusion process of its generally nonlocal environment. This indicates circularly causal, or ''cybernetic'', relationships between ''particles'' and their surroundings. Moreover, in the relativistic domain, the original stochastic theory of Nelson is shown to hold as a limiting case only, i.e., for a vanishing quantum potential.
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"abstract": "The Klein-Gordon equation is shown to be equivalent to coupled partial\ndifferential equations for a sub-quantum Brownian movement of a \u0027\u0027particle\u0027\u0027,\nwhich is both passively affected by, and actively affecting, a diffusion\nprocess of its generally nonlocal environment. This indicates circularly\ncausal, or \u0027\u0027cybernetic\u0027\u0027, relationships between \u0027\u0027particles\u0027\u0027 and their\nsurroundings. Moreover, in the relativistic domain, the original stochastic\ntheory of Nelson is shown to hold as a limiting case only, i.e., for a\nvanishing quantum potential.",
"arxiv_id": "quant-ph/0201035",
"authors": [
"Gerhard Groessing"
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"categories": [
"quant-ph"
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"doi": "10.1016/S0375-9601(02)00071-3",
"title": "Quantum Cybernetics: A New Perspective for Nelson\u0027s Stochastic Theory, Nonlocality, and the Klein-Gordon Equation",
"url": "https://arxiv.org/abs/quant-ph/0201035"
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