Umbral Deformations on Discrete SPACE TIME
Abstract
Given a minimum measurable length underlying spacetime, the latter may be effectively regarded as discrete, at scales of order 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.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 2008
 DOI:
 10.1142/S0217751X08040548
 arXiv:
 arXiv:0710.2306
 Bibcode:
 2008IJMPA..23.2005Z
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 Latex2e 9 pages