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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 | | Abstract: | A 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 | | Services: | Forum | Review | PDF | Favorites | |
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