Scholz, Erhard (2014) Paving the way for transitions --- a case for Weyl geometry. [Preprint]

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Abstract

It is discussed how the Weyl geometric generalization of Riemannian geometry relates to Jordan-Brans-Dicke theory and how it leads to a weak generalization of Einstein gravity. The generalization of geometry goes back to Weyl's proposal of 1918; the generalization of gravity was proposed by Omote, Utiyama, Dirac and others in the 1970s. Here we reconsider the conceptual potential of this approach for establishing links between gravity, the electroweak sector of elementary particle physics, and cosmology. We explore the possibility of unifying the Higgs field of the standard model, imported to Weyl geometry, with a (non-minimally coupled ) gravitational scalar field in a common Lagrangian probed at different energy levels.

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Item Type:	Preprint
Creators:	Creators Email ORCID Scholz, Erhard scholz@math.uni-wuppertal.de
Additional Information:	Accepted for publication in D. Lehmkuhl: Towards a Theory of Spacetime Theories. Birkhäuser Einstein Studies.
Keywords:	Weyl geometry, scale covariant gravity, link between gravity and electroweak theory, cosmology, transitions,soft (synthetic) unification
Subjects:	Specific Sciences > Physics > Cosmology General Issues > Laws of Nature Specific Sciences > Mathematics Specific Sciences > Physics > Relativity Theory General Issues > Theory Change
Depositing User:	Dr. Erhard Scholz
Date Deposited:	19 Apr 2014 13:29
Last Modified:	21 Jul 2014 20:41
Item ID:	10612
Subjects:	Specific Sciences > Physics > Cosmology General Issues > Laws of Nature Specific Sciences > Mathematics Specific Sciences > Physics > Relativity Theory General Issues > Theory Change
Date:	18 April 2014
URI:	https://philsci-archive.pitt.edu/id/eprint/10612

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• Paving the way for transitions --- a case for Weyl geometry. (deposited 19 Apr 2014 13:29) [Currently Displayed]
  • Paving the way for transitions --- a case for Weyl geometry. (deposited 21 Jul 2014 20:41)

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