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A gravitational theory of quantum mechanics
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Hadley, Mark J. (1996) A gravitational theory of quantum mechanics. PhD thesis, University of Warwick.
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WRAP_THESIS_Hadley_1996.pdf - Submitted Version Download (6Mb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b1402892~S1
Abstract
An explanation for quantum mechanics is given in terms of a classical theory (general relativity) for the first time. Specifically, it is shown that certain structures in classical general relativity can give rise to the non-classical logic normally associated with quantum mechanics. An artificial classical model of quantum logic is constructed to show how the Hilbert space structure of quantum mechanics is a natural way to describe a measurement-dependent stochastic process. A 4-geon model of an elementary particle is proposed which is asymptotically flat, particle-like and has a non-trivial causal structure. The usual Cauchy data are no longer sufficient to determine a unique evolution; the measurement apparatus itself can impose further non-redundant boundary conditions. When measurements of an object provide additional non-redundant boundary conditions, the associated propositions would fail to satisfy the distributive law of classical physics. Using the 4-geon model, an orthomodular lattice of propositions, characteristic of quantum mechanics, is formally constructed within the framework of classical general relativity. The model described provides a classical gravitational basis for quantum mechanics, obviating the need for quantum gravity. The equations of quantum mechanics are unmodified, but quantum behaviour is not universal; classical particles and waves could exist and there is no graviton.
| Item Type: | Thesis or Dissertation (PhD) |
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| Subjects: | Q Science > QC Physics |
| Library of Congress Subject Headings (LCSH): | Quantum theory, General relativity (Physics), Quantum logic -- Mathematical models |
| Date: | December 1996 |
| Institution: | University of Warwick |
| Theses Department: | Department of Physics |
| Thesis Type: | PhD |
| Publication Status: | Unpublished |
| Supervisor(s)/Advisor: | Hyland, G. J. (Gerard Joseph) |
| Sponsors: | University of Warwick ; University of Warwick. Dept. of Physics |
| Extent: | 118 p. |
| Language: | eng |
| URI: | http://wrap.warwick.ac.uk/id/eprint/50787 |
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