Publication: Minimal length and small scale structure of spacetime
Date
22-11-2013
Authors
Dawood Kothawala
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Abstract
Many generic arguments support the existence of a minimum spacetime interval L0. Such a "zero-point" length can be naturally introduced in a locally Lorentz invariant manner via Synge's world function biscalar Ω(p,P) which measures squared geodesic interval between spacetime events p and P. I show that there exists a nonlocal deformation of spacetime geometry given by a disformal coupling of metric to the biscalar Ω(p,P), which yields a geodesic interval of L0 in the limit p→P. Locality is recovered when Ω(p,P) L02/2. I discuss several conceptual implications of the resultant small-scale structure of spacetime for QFT propagators as well as spacetime singularities. © 2013 American Physical Society.