Static Space-Times Naturally Lead to Quasi-Pseudometrics

Authors

Hans-Peter A. Kuenzi
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

8-2007

Comments

Technical Report: UTEP-CS-07-29c

Published in Theoretical Computer Science, 2008, Vol. 405, No. 1-2, pp. 64-72.

Abstract

The standard 4-dimensional Minkowski space-time of special relativity is based on the 3-dimensional Euclidean metric. In 1967, H.~Busemann showed that similar static space-time models can be based on an arbitrary metric space. In this paper, we search for the broadest possible generalization of a metric under which a construction of a static space-time leads to a physically reasonable space-time model. It turns out that this broadest possible generalization is related to the known notion of a quasi-pseudometric.