1206.1559 (Erhard Scholz)

Paving the way for transitions between theories --- a case for Weyl
geometry    [PDF]

Erhard Scholz

It is discussed how the Weyl geometric generalization of Riemannian geometry may shed light on 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. Intergrable Weyl geometry is well suited to bridge the gap between the conformal and projective field structures of physics and a fully metrical geometry theory of spacetime.

View original: http://arxiv.org/abs/1206.1559