Physics – General Physics
Scientific paper
2009-03-31
"Physical Interpretation of Relativity Theory", Proc. International Meeting, Moscow, 6-9 July 2009, Ed. M C Duffy etal, BMSTU
Physics
General Physics
12 pages, no figures
Scientific paper
We study geometry and topology as complementary and dual aspects of the mathematical space. The same is used to get a better understanding of the Cosmological Constant. Having failed so far to include gravity in a proper unified framework with the other three fundamental gauge forces, we are now faced with an additional unwanted fifth force of repulsion, also envisaged as the Dark Energy problem. How does one understand this 3+1+1 fundamental force dilemma? We introduce here a novel idea of the Fundamental Forces. This will give us an additional and an all-encompassing way of classifying these five fundamental forces in a consistent manner and thereby strengthen the geometry-topology complementarity concept. This also helps us to understand as to what one actually means when substituting ${g_{\mu \nu}} = {\eta_{\mu \nu}} + {h_{\mu \nu}}$ with the last term being "small" in General Relativity. This provides an understanding of the generic relationship and the complementarity of the geometric and the topological structures which is then formalized as a basic theorem enabling us to understand the underlying connection between the physical reality and the pure mathematical structures.
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