- Title
- A five-dimensional extension of general relativity and quantum theory
- Creator
- Smrz, P. K.
- 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
- Publisher
- Institute of Physics Publishing
- Resource Type
- journal article
- Date
- 2007
- 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.
- Subject
- five-dimensional manifolds; quantum mechanics; general relativity; quantum theory; spacetime
- Identifier
- http://hdl.handle.net/1959.13/926771
- Identifier
- uon:9936
- Identifier
- ISSN:1751-8113
- Language
- eng
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