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28 May 2022
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BF systems on graph cobordisms as topological cosmology
Vladimir N. Efremov ; Nikolai V. Mitskievich ; Alfonso M. Hernández Magdaleno ;
Date 29 Jun 2007
AbstractA cosmological model connecting the evolution of universe with a sequence of topology changes described by a collection of specific graph cobordisms, is constructed. It is shown that an adequate topological field theory (of BF-type) can be put into relation to each graph cobordism. The explicit expressions for transition amplitudes (partition functions) are written in these BF-models and it is shown that the basic topological invariants of the graph cobordisms (intersection matrices) play the r{^o}le of coupling constants between the formal analogues of electric and magnetic fluxes quantized {`a} la Dirac, but with the use of Poicar{’e}--Lefschetz duality. For a specific graph cobordism, the diagonal elements and eigenvalues of the intersection matrix reproduce the hierarchy of dimensionless low-energy coupling constants of the fundamental interactions acting in the real universe.
Source arXiv, arxiv.0706.4329
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