THE EXISTENCE OF TIME

Citation data:

International Journal of Geometric Methods in Modern Physics, ISSN: 0219-8878, Vol: 08, Issue: 02, Page: 273-301

Publication Year:
2011
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arXiv Id:
0811.0112
DOI:
10.1142/s0219887811005130
Repository URL:
https://digitalcommons.usu.edu/physics_facpub/479; https://works.bepress.com/james_wheeler/99; https://works.bepress.com/james_wheeler/75
Author(s):
JOSEPH A. SPENCER ; JAMES T. WHEELER
Publisher(s):
World Scientific Pub Co Pte Lt; World Scientific Publishing Company
Tags:
Physics and Astronomy; General relativity; time; conformal; biconformal; gauge theory; signature; Physics
article description
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. © 2011 World Scientific Publishing Company.