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Static Space-Times Naturally Lead To Quasi-Pseudometrics, Hans-Peter A. Kuenzi, Vladik Kreinovich

Departmental Technical Reports (CS)

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.