The Multispace with its Multistructure as a Unified Field Theory
POSTER
Abstract
Let S$_{1}$, S$_{2}$, ..., S$_{n}$ be n structures on respectively the sets M$_{1}$, M$_{2}$, ..., M$_{n}$, where n $\ge $ 2 (n may even be infinite). The structures S$_{i}$, i = 1, 2, {\ldots}, n, may not necessarily be distinct two by two; each structure S$_{i}$ may be or not n$_{i-}$concentric, for n$_{i} \quad \ge $ 1. And the sets M$_{i}$, i = 1, 2, {\ldots}, n, may not necessarily be disjoint, also some sets M$_{i }$ may be equal to or included in other sets M$_{j}$, j = 1, 2, {\ldots}, n. We defined the \textbf{multispace} M as a union of the previous sets: M = M$_{1} \quad \cup $ M$_{2} \quad \cup $ {\ldots} $\cup $ M$_{n}$, hence we have n (different or not, overlapping or not) structures on M. A multi-space is a space with many structures that may overlap, or some structures may include others or may be equal, or the structures may interact and influence each other as in our everyday life. Therefore for a unified field theory we build a multispace M with a multistructure as a union of a gravitational space, electromagnetic space, weak interactions space, and strong interactions space. Then we construct a corresponding physical model.
Authors
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Florentin Smarandache
University of New Mexico