Geometry of Kaluza-Klein theory. I. Basic setting

Details Geometry of Kaluza-Klein theory. I. Basic setting Geometry of Kaluza-Klein theory. I. Basic setting

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31..262m&link_type=abstract

Physical Review D (Particles and Fields), Volume 31, Issue 2, 15 January 1985, pp.262-267

Physics

11

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

Kaluza-Klein space theory is derived from the hypothesis that the four-dimensional space-time is locally and isometrically embedded in a high-dimensional space which presumably originated at the big bang. For mathematical simplicity the high-dimensional space is taken to be a flat, Minkowski space with 14 dimensions assumed to be the ground state of the theory. The resulting metric is more general than the usual zero-mode metric ansatz but it reduces to the latter in the low-energy sector of the theory. The compactification of the internal space results from the existence of the second quadratic form of the embedded V4. A simple model of spherical compact space is considered as a working example, where the spontaneous compactification is a hyperbolic function of the strength of the gravitational field. The symmetry group of the embedding is a combined symmetry which breaks into P4×SO(10) in the flat limit of the space-time.

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