Switch to: Citations

References in:

One hundred years of Weyl’s (unfinished) unified field theory

C. Romero, R. G. Lima & T. A. T. Sanomiya

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 66 (C):180-185 (2019)

Add references

You must login to add references.

Inducing the Cosmological Constant from Five-Dimensional Weyl Space.José Edgar Madriz Aguilar & Carlos Romero - 2009 - Foundations of Physics 39 (11):1205-1216.details We investigate the possibility of inducing the cosmological constant from extra dimensions by embedding our four-dimensional Riemannian space-time into a five-dimensional Weyl integrable space. Following the approach of the space-time-matter theory we show that when we go down from five to four dimensions, the Weyl field may contribute both to the induced energy-tensor as well as to the cosmological constant Λ, or more generally, it may generate a time-dependent cosmological parameter Λ(t). As an application, we construct a simple cosmological model (...) Download Export citation Bookmark 3 citations
Making the Case for Conformal Gravity.Philip D. Mannheim - 2012 - Foundations of Physics 42 (3):388-420.details We review some recent developments in the conformal gravity theory that has been advanced as a candidate alternative to standard Einstein gravity. As a quantum theory the conformal theory is both renormalizable and unitary, with unitarity being obtained because the theory is a PT symmetric rather than a Hermitian theory. We show that in the theory there can be no a priori classical curvature, with all curvature having to result from quantization. In the conformal theory gravity requires no independent quantization (...) Download Export citation Bookmark 8 citations
A Note on the Problem of Proper Time in Weyl Space–Time.R. Avalos, F. Dahia & C. Romero - 2018 - Foundations of Physics 48 (2):253-270.details We discuss the question of whether or not a general Weyl structure is a suitable mathematical model of space–time. This is an issue that has been in debate since Weyl formulated his unified field theory for the first time. We do not present the discussion from the point of view of a particular unification theory, but instead from a more general standpoint, in which the viability of such a structure as a model of space–time is investigated. Our starting point is (...) Download Export citation Bookmark 2 citations
The Unexpected Resurgence of Weyl Geometry in late 20th-Century Physics.Erhard Scholz - 2018 - In David E. Rowe, Tilman Sauer & Scott A. Walter (eds.), Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology in the Twentieth Century. New York, USA: Springer New York. pp. 261-360.details Weyl’s original scale geometry of 1918 was withdrawn by its author from physical theorizing in the early 1920s. It made a surprising comeback, however, in the last third of the 20th century in several different contexts: scalar-tensor theories of gravity, foundations of space-time theories, foundations of quantum mechanics, elementary particle physics, and cosmology. It seems that Weyl geometry continues to offer an open window for research on the foundations of physics even after the turn into the new millenium. Download Export citation Bookmark 2 citations

1