BF systems on graph cobordisms as topological cosmology

Efremov, Vladimir N.; Mitskievich, Nikolai V.; Magdaleno, Alfonso M. Hernández

BF systems on graph cobordisms as topological cosmology

Authors

Efremov, Vladimir N.

Mitskievich, Nikolai V.

Magdaleno, Alfonso M. Hernández

Description

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{ô}le of coupling constants between the formal analogues of electric and magnetic fluxes quantized {à} la Dirac, but with the use of Poicar{é}--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.
44 pages