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Unified Field Theoretical Models from Generalized Affine Geometries III

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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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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow region, Russian Federation

    Diego Julio Cirilo-Lombardo

  2. Departamento de Fisica da Universidade Federal de Paraiba, 58051-970, João Pessoa, Paraiba, Brazil

    Diego Julio Cirilo-Lombardo

Authors
  1. Diego Julio Cirilo-Lombardo
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Correspondence to Diego Julio Cirilo-Lombardo.

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Cirilo-Lombardo, D.J. Unified Field Theoretical Models from Generalized Affine Geometries III. Int J Theor Phys 50, 3621–3634 (2011). https://doi.org/10.1007/s10773-011-0871-2

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  • DOI: https://doi.org/10.1007/s10773-011-0871-2

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