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Gravitational and electroweak unification by replacing diffeomorphisms with larger group

General Relativity and Gravitation volume 41, pages 2501–2528 (2009)Cite this article

Abstract

The covariance group for general relativity, the diffeomorphisms, is replaced by a group of coordinate transformations which contains the diffeomorphisms as a proper subgroup. The larger group is defined by the assumption that all observers will agree whether any given quantity is conserved. Alternatively, and equivalently, it is defined by the assumption that all observers will agree that the general relativistic wave equation describes the propagation of light. Thus, the group replacement is analogous to the replacement of the Lorentz group by the diffeomorphisms that led Einstein from special relativity to general relativity, and is also consistent with the assumption of constant light velocity that led him to special relativity. The enlarged covariance group leads to a non-commutative geometry based not on a manifold, but on a nonlocal space in which paths, rather than points, are the most primitive invariant entities. This yields a theory which unifies the gravitational and electroweak interactions. The theory contains no adjustable parameters, such as those that are chosen arbitrarily in the standard model.

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  1. Dave Pandres Jr

    Present address: , 1244 Arbor Rd. #522, Winston Salem, NC, 27104, USA

Authors and Affiliations

  1. North Georgia College and State University, Dahlonega, GA, 30597, USA

    Dave Pandres Jr

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Pandres, D. Gravitational and electroweak unification by replacing diffeomorphisms with larger group. Gen Relativ Gravit 41, 2501–2528 (2009). https://doi.org/10.1007/s10714-009-0788-8

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  • DOI: https://doi.org/10.1007/s10714-009-0788-8

Keywords

  • Gravitation
  • Electroweak
  • Unification
  • Enlarged covariance group