dorsal/arxiv
View SchemaThe Logic of Quantum Mechanics Derived from Classical General Relativity
| Authors | Mark J. Hadley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9706018 |
| URL | https://arxiv.org/abs/quant-ph/9706018 |
| DOI | 10.1007/BF02764119 |
| Journal | Found.Phys.Lett. 10 (1997) 43-60 |
Abstract
For the first time it is shown that the logic of quantum mechanics can be derived from Classical Physics. An orthomodular lattice of propositions, characteristic of quantum logic, is constructed for manifolds in Einstein's theory of general relativity. A particle is modelled by a topologically non-trivial 4-manifold with closed timelike curves - a 4-geon, rather than as an evolving 3-manifold. It is then possible for both the state preparation and measurement apparatus to constrain the results of experiments. It is shown that propositions about the results of measurements can satisfy a non-distributive logic rather than the Boolean logic of classical systems. Reasonable assumptions about the role of the measurement apparatus leads to an orthomodular lattice of propositions characteristic of quantum logic.
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"abstract": "For the first time it is shown that the logic of quantum mechanics can be\nderived from Classical Physics. An orthomodular lattice of propositions,\ncharacteristic of quantum logic, is constructed for manifolds in Einstein\u0027s\ntheory of general relativity. A particle is modelled by a topologically\nnon-trivial 4-manifold with closed timelike curves - a 4-geon, rather than as\nan evolving 3-manifold. It is then possible for both the state preparation and\nmeasurement apparatus to constrain the results of experiments. It is shown that\npropositions about the results of measurements can satisfy a non-distributive\nlogic rather than the Boolean logic of classical systems. Reasonable\nassumptions about the role of the measurement apparatus leads to an\northomodular lattice of propositions characteristic of quantum logic.",
"arxiv_id": "quant-ph/9706018",
"authors": [
"Mark J. Hadley"
],
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"quant-ph",
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],
"doi": "10.1007/BF02764119",
"journal_ref": "Found.Phys.Lett. 10 (1997) 43-60",
"title": "The Logic of Quantum Mechanics Derived from Classical General Relativity",
"url": "https://arxiv.org/abs/quant-ph/9706018"
},
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