Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-06-28
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
44 pages
Scientific paper
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.
Efremov Vladimir N.
Hernandez Magdaleno Alfonso M.
Mitskievich Nikolai V.
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