Unified Field Theoretical Models from Generalized Affine Geometries III |
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Authors: | Diego Julio Cirilo-Lombardo |
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Institution: | (1) Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan |
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Abstract: | In this work the underlying structure of new type of Unified Field Theoretical model introduced in by the authors is elucidated
and analyzed from the geometrical and group theoretical point of view. Our goal is to take advantage of the geometrical and
topological properties of this theory in order to determine the minimal group structure of the resultant spacetime manifold
able to support a fermionic structure. From this fact, the relation between antisymmetric torsion and Dirac structure of the
spacetime is determined and important physical consequences enumerated. In the case of spacetime with torsion the real meaning
of the spin-frame alignment is find and the question of the minimal coupling is discussed based in the important cases of
tratorial, totally antisymmetric and general torsion fields. |
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Keywords: | |
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