Small-Scale Structure of Spacetime: Bounds and Conjectures

Details Small-Scale Structure of Spacetime: Bounds and Conjectures Small-Scale Structure of Spacetime: Bounds and Conjectures

2007-10-16

arxiv.org/abs/0710.3075v3

AIPConf.Proc.977:181-201,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages; invited talk at the Third Mexican Meeting on Mathematical and Experimental Physics, September 10-14, 2007, El Colegi

Scientific paper

10.1063/1.2902784

This review consists of two parts. The first part establishes certain astrophysical bounds on the smoothness of classical spacetime. Some of the best bounds to date are based on the absence of vacuum Cherenkov radiation in ultrahigh-energy cosmic rays. The second part discusses possible implications of these bounds for the quantum structure of spacetime. One conjecture is that the fundamental length scale of quantum spacetime may be different from the Planck length.

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