dorsal/arxiv
View SchemaDualist interpretation of quantum mechanics
| Authors | Guy Potvin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9908019 |
| URL | https://arxiv.org/abs/quant-ph/9908019 |
Abstract
An interpretation of quantum mechanics is proposed which augments the stochastic pilot-wave model, introduced by Nelson [E. Nelson, Phys. Rev., 150, 1079 (1966)], with a dual guidance condition. Namely, in addition to the stochastic guidance condition which describes how the wave controls the particle (wave-to-particle guidance condition), we introduce another stochastic guidance condition describing how the particle guides the wave (particle-to-wave guidance condition). We therefore introduce an action-reaction principle in the pilot-wave formulation of quantum mechanics. The particle-to-wave guidance condition takes the form of spontaneous transitions of the wavefunction that are Poisson distributed in time. The wavefunction selected by the transition is influenced by its likelyhood with respect to the particle position, as well as certain conservation constraints. It is shown that the stochastic particle-to-wave guidance condition reproduces certain aspects of the spontaneous localization model of Ghirardi, Rimini and Weber [G. C. Ghirardi, A. Rimini and T. Weber, Phys. Rev. D, 34, 470 (1986)], and of Milburn's intrinsic decoherence model [G. J. Milburn, Phys. Rev. A, 44, 5401 (1991)], while avoiding some of the difficulties associated with them. The macroscopic limit of the dualist interpretation is analyzed for the case of a free body. Possible improvements of this interpretation are discussed.
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"abstract": "An interpretation of quantum mechanics is proposed which augments the\nstochastic pilot-wave model, introduced by Nelson [E. Nelson, Phys. Rev., 150,\n1079 (1966)], with a dual guidance condition. Namely, in addition to the\nstochastic guidance condition which describes how the wave controls the\nparticle (wave-to-particle guidance condition), we introduce another stochastic\nguidance condition describing how the particle guides the wave\n(particle-to-wave guidance condition). We therefore introduce an\naction-reaction principle in the pilot-wave formulation of quantum mechanics.\nThe particle-to-wave guidance condition takes the form of spontaneous\ntransitions of the wavefunction that are Poisson distributed in time. The\nwavefunction selected by the transition is influenced by its likelyhood with\nrespect to the particle position, as well as certain conservation constraints.\nIt is shown that the stochastic particle-to-wave guidance condition reproduces\ncertain aspects of the spontaneous localization model of Ghirardi, Rimini and\nWeber [G. C. Ghirardi, A. Rimini and T. Weber, Phys. Rev. D, 34, 470 (1986)],\nand of Milburn\u0027s intrinsic decoherence model [G. J. Milburn, Phys. Rev. A, 44,\n5401 (1991)], while avoiding some of the difficulties associated with them. The\nmacroscopic limit of the dualist interpretation is analyzed for the case of a\nfree body. Possible improvements of this interpretation are discussed.",
"arxiv_id": "quant-ph/9908019",
"authors": [
"Guy Potvin"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"title": "Dualist interpretation of quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/9908019"
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