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The Universe as a Set of Topological Fluids with Hierarchy and Fine Tuning of Coupling Constants in Terms of Graph Manifolds | | Vladimir N. Efremov
; Alfonso M. Hernandez Magdaleno
; Fernando I. Becerra Lopez
; | | Date: |
3 Sep 2013 | | Abstract: | The hierarchy and fine tuning of the gauge coupling constants are described
on the base of topological invariants (Chern classes interpreted as filling
factors) characterizing a collection of fractional topological fluids emerging
from three dimensional graph manifolds, which play the role of internal spaces
in the Kaluza-Klein approach to the topological BF theory. The hierarchy of BF
gauge coupling constants is simulated by diagonal elements and eigenvalues of
rational linking matrices of tree graph manifolds pasted together from
Brieskorn (Seifert fibered) homology spheres. Specific examples of graph
manifolds are presented which contain in their linking matrices the hierarchy
of coupling constants distinctive for the dimensionless coupling constants in
our Universe. The fine tuning effect is simulated owing to the special
numerical properties of diagonal elements of the linking matrices. We pay a
particular attention to fine tuning problem for the cosmological constant and
propose its model solution. | | Source: | arXiv, 1309.0690 | | Services: | Forum | Review | PDF | Favorites | |
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