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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/926771

Title

A five-dimensional extension of general relativity and quantum theory

Author/Creator

Smrz, P. K.

Institution

The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences

Description

The torsion-free de Sitter reducible metric linear connection on a five-dimensional manifold is studied in conjunction with a method of constructing spacetime via a partially restricted reference cross section of the bundle of linear frames described in earlier publications. It leads to the equation Rαβ = (1/l)gαβ where l is a fundamental length, assumed to be the Planck length. It also yields the Einstein vacuum equations on the constructed spacetime. Using the Feynman formulation of quantum mechanics together with a dimension reduction by unrestricted transformation of the reference cross section, a geometrical model for quantum non-locality is described. The dimension reduction is then applied to the Schwarzschild solution of Einstein's equations which is found to contain the quantum plane rotation associated with a particle at rest.

Relation

Journal of Physics A: Mathematical and Theoretical Vol. 40, Issue 32, p. F805-F816

Publisher Link

http://dx.doi.org/10.1088/1751-8113/40/32/F03

Date

2007

Publisher

Institute of Physics Publishing

Keyword(s)

five-dimensional manifolds;  quantum mechanics;  general relativity;  quantum theory;  spacetime

Resource Type

journal article

Identifier

http://hdl.handle.net/1959.13/926771

Identifier

ISSN:1751-8113

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Subject

"Journal of Physics A: Mathematical and Theoretical"

 

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