Paving the way for transitions — a case for Weyl geometry
نویسنده
چکیده
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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