The Library

Topology change and context dependence

Tools

Hadley, Mark J.. (1999) Topology change and context dependence. International Journal of Theoretical Physics, Volume 38 (Number 5). pp. 1481-1492. ISSN 0020-7748

Preview

PDF
WRAP_Hadley_9905061v1.pdf - Accepted Version - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (313Kb) | Preview

Official URL: http://dx.doi.org/10.1023/A:1026697201033

Abstract

The nonclassical features of quantum mechanics are reproduced using models constructed with a classical theory-general relativity. The inability to define complete initial data consistently and independently of future measurements, nonlocality, and the non-Boolean logical structure are reproduced by these examples. The key feature of the models is the role of topology change. It is the breakdown of causal structure associated with topology change that leads to the apparently nonclassical behavior. For geons, topology change is required to describe the interaction of particles. It is therefore natural to regard topology change as ar essential part of the measurement process. This leads to models in which the measurement imposes additional nonredundant boundary conditions. The initial state cannot be described independently of the measurement and there is a causal connection between the measurement and the initial state.

Item Type:

Journal Article

Subjects:

Q Science > QC Physics

Divisions:

Faculty of Science > Physics

Library of Congress Subject Headings (LCSH):

Quantum theory, General relativity (Physics), Topology

Journal or Publication Title:

International Journal of Theoretical Physics

Publisher:

Springer

ISSN:

0020-7748

Official Date:

1 May 1999

Dates:

Date	Date Type
1 May 1999	Published

Volume:

Volume 38

Number:

Number 5

Number of Pages:

Page Range:

pp. 1481-1492

Identification Number:

10.1023/A:1026697201033

Status:

Peer Reviewed

Publication Status:

Published

Access rights to Published version:

Restricted or Subscription Access

References:

Ballentine, L. E. (1989), Quantum Mechanics, Prentice Hall.
Belinfante, F. J. (1973), A Survey of Hidden-Variables Theories, Pergamon Press.
Beltrametti, E. G. & Cassinelli, G. (1981), The Logic of Quantum Mechanics,
Vol. 15 of Encyclopedia of Mathematics and its Applications, Addison-
Wesley Publishing Company.
Borde, A. (1997), ‘How impossible is topology change?’, Bull. Astr.Soc. India
(eprint gr-qc/9406053) 25, 571–577.
Dowker, H. F. & Garcia, R. S. (1997), ‘A handlebody calculus for topology
change’, gr-qc/9711042.
Fivel, D. I. (1994), ‘How interference effects in mixtures determine the rules of
quantum mechanics’, Physical Review A 50(3), 2108–2119.
Geroch, R. P. (1967), ‘Topology in general relativity’, Journal of Mathematical
Physics 8, 782–786.
Hadley, M. J. (1997), ‘The logic of quantum mechanics derived from classical
general relativity’, Foundations of Physics Letters (eprint quant-ph/9706018)
10(1), 43–60.
Isham, C. J. (1968), Quantum Theory- Mathematical and Structural Foundations,
Imperial College Press.
Krasnikov, S. V. (1995), ‘Topology change without pathology’, General Relativity
and Gravitation 27(5), 529–536.
Mackey, G. W. (1963), The Mathematical Foundations of Quantum Mechanics,
W A Benjamin Inc.
Reinhart, B. L. (1963), ‘Cobordism and the euler number’, Topology 2, 173–177.
Sciama, D. W. (1957), Determinism and the cosmos, in S. Hook, ed., ‘Determinism
and Freedom in the Age of Modern Science’, Collier-Macmillan.
Sorkin, R. D. (1997), ‘Forks in the road, on the way to quantum gravity’, grqc/
9706002.
Weinberg, S. (1995), The quantum theory of fields, Cambridge University Press.
Yodzis, P. (1972), ‘Lorentz cobordism’, Communications in Mathematical
Physics 26, 39–52.