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About Smarandache Multi-Space Theory
A Smarandache multi-space is a union of n various spaces equipped with different structures for an integer n >= 2, which can be used for both discrete or connected spaces, particularly for geometries and space-times in theoretical physics. This monograph concentrates on characterizing various multi-spaces and includes three parts. The first part is on algebraic multi-spaces, with structures such as those of multi-groups, multi-rings, multi-vector spaces, multi-metric spaces, multi-operation systems and multi-manifolds, also multi-voltage graphs, multi-embedding of a graph in an n-manifold, etc. The second discusses Smarandache geometries, including those of map geometries, planar map geometries, and pseudo-plane geometries, in which the Finsler geometry, particularly the Riemann geometry appears as a special case of the Smarandache geometries. The third part of this book considers applications of multi-spaces to theoretical physics, including relativity theory, ! M-theory, and cosmology. Multi-space models for p-branes and cosmos are constructed and some questions in cosmology are clarified by multi-spaces. The first two parts are relatively independent for reading and in each part open problems are included for further research of interested readers.
Detailed Information
| Author: | Linfan Mao |
|---|---|
| Publication Year: | 2006 |
| ISBN: | 9781931233149 |
| Pages: | 275 |
| Language: | English |
| File Size: | 1.217 |
| Format: | |
| Price: | FREE |
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