Two-time physics with gravitational and gauge field backgrounds

Itzhak Bars
Phys. Rev. D 62, 085015 – Published 26 September 2000
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Abstract

It is shown that all possible gravitational, gauge and other interactions experienced by particles in ordinary d dimensions (one time) can be described in the language of two-time physics in a spacetime with d+2 dimensions. This is obtained by generalizing the world line formulation of two-time physics by including background fields. A given two-time model, with a fixed set of background fields, can be gauged fixed from d+2 dimensions to (d1)+1 dimensions to produce diverse one-time dynamical models, all of which are dually related to each other under the underlying gauge symmetry of the unified two-time theory. To satisfy the gauge symmetry of the two-time theory the background fields must obey certain coupled differential equations that are generally covariant and gauge invariant in the target (d+2)-dimensional spacetime. The gravitational background obeys a closed homothety condition while the gauge field obeys a differential equation that generalizes a similar equation derived by Dirac in 1936. Explicit solutions to these coupled equations show that the usual gravitational, gauge, and other interactions in d dimensions may be viewed as embedded in the higher (d+2)-dimensional space, thus displaying higher spacetime symmetries that otherwise remain hidden.

  • Received 22 February 2000

DOI:https://doi.org/10.1103/PhysRevD.62.085015

©2000 American Physical Society

Authors & Affiliations

Itzhak Bars

  • Department of Physics and Astronomy and CIT-USC Center for Theoretical Physics, University of Southern California, Los Angeles, California 90089-0484

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Issue

Vol. 62, Iss. 8 — 15 October 2000

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