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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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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 nonclassical 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 measurementdependent stochastic process. A 4geon model of an elementary particle is proposed which is asymptotically flat, particlelike and has a nontrivial causal structure. The usual Cauchy data are no longer sufficient to determine a unique evolution; the measurement apparatus itself can impose further nonredundant boundary conditions. When measurements of an object provide additional nonredundant boundary conditions, the associated propositions would fail to satisfy the distributive law of classical physics. Using the 4geon 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) 

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Publication Status:  Unpublished 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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