Relativity and Cosmology


Smarandache Spaces as a New Extension of the Basic Space-Time of General Relativity

Authors: Dmitri Rabounski

This short letter manifests how Smarandache geometries can be employed in order to extend the "classical" (Riemannian geometry) basis of the General Theory of Relativity through joining the properties of two or more (different) geometries in the same single space. Perspectives in this way seem much profitly: the basic space-time of General Relativity can be extended to not only metric geometries, but even to non-metric ones (where no distances can be measured), or to spaces of the mixed kind which possess the properties of both metric and non-metric spaces (the latter should be referred to as "semi-metric spaces"). If both metric and non-metric properties possessed at the same (at least one) point of a space, it is one of Smarandache geometries, and should be referred to as "Smarandache semi-metric space". Such spaces can be introduced according to the mathematical apparatus of physically observable quantities (chronometric invariants), if considering a breaking of the observable space metric on the continuous background of the fundamental metric tensor.

Comments: 2 pages.

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Submission history

[v1] 10 Mar 2010

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