## 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.

**Download:** **PDF**

### Submission history

[v1] 10 Mar 2010

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