## International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS $p$-ADICS.2015, 07-12.09.2015, Belgrade, Serbia

﻿ David Weisbart

### Elementary Particles in Non-Archimedian Spacetime

Abstract

Our previous work extended the method of L. Schwartz to classify elementary scalar particles in $p$-adic spacetime. We introduced a natural notion of temperedness similar to one introduced by Harish-Chandra in the $p$-adic case and showed that the invariant measures corresponding to the elementary particles are tempered. We now investigate extensions of these results to the more general non-Archimedean setting.