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Article
The Existence of Time
International Journal of Geometric Methods in Modern Physics
  • J. A. Spencer
  • James Thomas Wheeler, Utah State University
Document Type
Article
Publication Date
1-1-2011
DOI
10.1142/S0219887811005130
Arxiv Identifier
arXiv:0811.0112v3
Disciplines
Abstract
Of those gauge theories of gravity known to be equivalent to general relativity, only the biconformal gauging introduces new structures — the quotient of the conformal group of any pseudo-Euclidean space by its Weyl subgroup always has natural symplectic and metric structures. Using this metric and symplectic form, we show that there exist canonically conjugate, orthogonal, metric submanifolds if and only if the original gauged space is Euclidean or signature 0. In the Euclidean cases, the resultant configuration space must be Lorentzian. Therefore, in this context, time may be viewed as a derived property of general relativity.
Comments

Author post print is deposited in arXiv and is available through link above.

http://arxiv.org/abs/0811.0112
Citation Information
Spencer, J. A. and Wheeler, James T., The existence of time, International Journal of Geometric Methods in Modern Physics, Vol. 8 No. 2 (2011) 273-301.