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.

Download: PDF

Submission history

[v1] 10 Mar 2010

Unique-IP document downloads: 67 times

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus