Research PapersNo Access

UMBRAL DEFORMATIONS ON DISCRETE SPACE–TIME

COSMAS K. ZACHOS

High Energy Physics Division, Argonne National Laboratory, Argonne, IL 60439-4815, USA

https://doi.org/10.1142/S0217751X08040548Cited by:4 (Source: Crossref)

Abstract

Given a minimum measurable length underlying space–time, the latter may be effectively regarded as discrete, at scales of order of the Planck length. A systematic discretization of continuum physics may be effected most efficiently through the umbral deformation. General functionals yielding such deformations at the level of solutions are furnished and illustrated, and broad features of discrete oscillations and wave propagation are outlined.

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