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Fani, Gertrude

doi:10.7196/sajr.940

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Kaluza-klein Strategy1

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2013

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“…If one use g = g (3) h in all calculation presented in this paper and integrate over g (3) , it would be expected that, this strategy will work for SO(4) with some relatively complicated calculations! [32] assumption is that in one of 3-simplexes, all areas become small. This means that in equation (17) the areas belong to g 1 (in the 3-simplex that belongs to the first field), g 5 in the second field, g 8 in the third field and g 10 in the forth field are small, and as a result all areas belong to the fifth field will be small.…”

Section: Kaluza-klein Strategymentioning

confidence: 99%

FROM DIMENSIONAL REDUCTION OF 4d SPIN FOAM MODEL TO ADDING NON-GRAVITATIONAL FIELDS TO 3d SPIN FOAM MODEL

Fani

Kaviani

2013

Int. J. Geom. Methods Mod. Phys.

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A Kaluza-Klein like approach for a 4d spin foam model is considered. By applying this approach to a model based on group field theory in 4d (TOCY model), and using the Peter-Weyl expansion of the gravitational field, reconstruction of new non gravitational fields and interactions in the action are found. The perturbative expansion of the partition function produces graphs colored with su(2) algebraic data, from which one can reconstruct a 3d simplicial complex representing space-time and its geometry; (like in the Ponzano-Regge formulation of pure 3d quantum gravity), as well as the Feynman graph for typical matter fields. Thus a mechanism for generation of matter and construction of new dimensions are found from pure gravity.

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Section: Kaluza-klein Strategymentioning

confidence: 99%