dorsal/arxiv
View SchemaA Newtonian Hidden Variable Theory
| Authors | Bruno Galvan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406134 |
| URL | https://arxiv.org/abs/quant-ph/0406134 |
Abstract
A new hidden variable theory is proposed, according to which particles follows definite trajectories, as in Bohmian Mechanics or Nelson's stochastic mechanics; in the new theory, however, the trajectories are classical, i.e. Newtonian. This result is obtained by developing the following concepts: (i) the essential elements of a hidden variable theory are a set of trajectories and a measure defined on it; the Newtonian HCT will be defined by giving these two elements. (ii) The universal wave function has a tree structure, whose branches are generated by the measurement processes and are spatially disjoined. (iii) The branches have a classical structure, i.e. classical paths go along them; this property derives from the fact that the paths close to the classical ones give the main contribution to the Feynman propagator. (iv) Classical trajectories can give rise to quantum phenomena, like for instance the interference phenomena of the two-slit experiment, by violating the so called Independence Assumption, which is always implicitely made in the conceptual analysis of these phenomena.
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"abstract": "A new hidden variable theory is proposed, according to which particles\nfollows definite trajectories, as in Bohmian Mechanics or Nelson\u0027s stochastic\nmechanics; in the new theory, however, the trajectories are classical, i.e.\nNewtonian. This result is obtained by developing the following concepts: (i)\nthe essential elements of a hidden variable theory are a set of trajectories\nand a measure defined on it; the Newtonian HCT will be defined by giving these\ntwo elements. (ii) The universal wave function has a tree structure, whose\nbranches are generated by the measurement processes and are spatially\ndisjoined. (iii) The branches have a classical structure, i.e. classical paths\ngo along them; this property derives from the fact that the paths close to the\nclassical ones give the main contribution to the Feynman propagator. (iv)\nClassical trajectories can give rise to quantum phenomena, like for instance\nthe interference phenomena of the two-slit experiment, by violating the so\ncalled Independence Assumption, which is always implicitely made in the\nconceptual analysis of these phenomena.",
"arxiv_id": "quant-ph/0406134",
"authors": [
"Bruno Galvan"
],
"categories": [
"quant-ph"
],
"title": "A Newtonian Hidden Variable Theory",
"url": "https://arxiv.org/abs/quant-ph/0406134"
},
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