The Library

Spin-1/2 in classical general relativity

Tools

Hadley, Mark J.. (2000) Spin-1/2 in classical general relativity. Classical and Quantum Gravity, Volume 17 (Number 20). pp. 4187-4194. ISSN 0264-9381

Preview

PDF
WRAP_Hadley_0004029v2.pdf - Accepted Version - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (313Kb) | Preview

Official URL: http://dx.doi.org/10.1088/0264-9381/17/20/303

Abstract

It is shown that models of elementary particles in classical general relativity (geons) will naturally have the transformation properties of a spinor if the spacetime manifold is not time orientable. From a purely pragmatic interpretation of quantum theory this explains why spinor fields are needed to represent particles. The models are based entirely on classical general relativity and are motivated by the suggestion that the lack of a time-orientation could be the origin of quantum phenomena.

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), Particles -- Mathematical models, Spinor analysis, Space and time

Journal or Publication Title:

Classical and Quantum Gravity

Publisher:

IOP Publishing Inc.

ISSN:

0264-9381

Official Date:

21 October 2000

Dates:

Date	Event
21 October 2000	Published

Volume:

Volume 17

Number:

Number 20

Number of Pages:

Page Range:

pp. 4187-4194

Identification Number:

10.1088/0264-9381/17/20/303

Status:

Peer Reviewed

Publication Status:

Published

Access rights to Published version:

Restricted or Subscription Access

References:

[1] Geroch R 1968 J. Math. Phys. 9 1739–1744
[2] Ballentine L E 1989 Quantum Mechanics. Prentice Hall, New York
[3] Isham C J 1995 Lectures on Quantum Theory - Mathematical and Structural Foundations.
Imperial College Press, London.
[4] Einstein A and Rosen N 1935 Phys. Rev. 48 73–77
[5] Misner C W and Wheeler J A 1957 Ann. Phys. 2 525–603
[6] Misner C W, Thorne K S, and Wheeler J A 1973 Gravitation. W H Freedman and Sons
[7] Hartung R W 1979 Am. J. Phys. 47 900–910
[8] Hadley M J 1997 Found. Phys. Lett. 10 43–60
[9] Hadley M J 1999 Int. J. Theor. Phys. 38 1481–1492
[10] Diemer T and Hadley M J 1999 Class. Quantum Grav. 16 3567–3577
[11] Feynman R P and Weinberg S 1987 Elementary Particles and the Laws of Physics. Cambridge
University Press
[12] Penrose R and Rindler W 1984 Spinors and Space-time Cambridge University Press
[13] Newman M H A 1942 J. Lond. Math. Soc. 17 173–177
[14] Friedman J L and Sorkin R D 1982 Gen. Rel. Grav. 14 615–620
[15] Hendriks H 1977 Bull. Soc. Math. de France Mem 53 81–96