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The logic of quantum mechanics derived from classical general relativity
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Hadley, Mark J. (1997) The logic of quantum mechanics derived from classical general relativity. Foundations of Physics Letters, Volume 10 (Number 1). pp. 43-60. ISSN 0894-9875.
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Official URL: http://dx.doi.org/10.1007/BF02764119
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.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QC Physics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | ||||||
Library of Congress Subject Headings (LCSH): | Quantum theory, General relativity (Physics), Particles -- Mathematical models | ||||||
Journal or Publication Title: | Foundations of Physics Letters | ||||||
Publisher: | Springer | ||||||
ISSN: | 0894-9875 | ||||||
Official Date: | February 1997 | ||||||
Dates: |
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Volume: | Volume 10 | ||||||
Number: | Number 1 | ||||||
Page Range: | pp. 43-60 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 27 December 2015 | ||||||
Date of first compliant Open Access: | 27 December 2015 | ||||||
Funder: | University of Warwick |
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