The unexpected resurgence of Weyl geometry in late 20-th century physics
arXiv:1703.03187
Abstract
Weyl's original scale geometry of 1918 ("purely infinitesimal geometry") was withdrawn by its author from physical theorizing in the early 1920s. It had a comeback in the last third of the 20th century in different contexts: scalar tensor theories of gravity, foundations of gravity, foundations of quantum mechanics, elementary particle physics, and cosmology. It seems that Weyl geometry continues to offer an open research potential for the foundations of physics even after the turn to the new millennium.
arXiv commentCompletely rewritten conference paper 'Beyond Einstein', Mainz Sep 2008. Preprint ELHC (Epistemology of the LHC) 2017-02, 92 pages, 1 figure
References in corpus (41)
- Cosmic Evolution in a Cyclic Universe
- The Stueckelberg Field
- Conformal Symmetry and the Standard Model
- Quantum scale invariance, cosmological constant and hierarchy problem
- Scale invariance, unimodular gravity and dark energy
- The (pseudo)issue of the conformal frame revisited
- A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
- A Primer on Energy Conditions
- Local Conformal Symmetry in Physics and Cosmology
- Neutrino mass in radiatively-broken scale-invariant models
- High precision thermal modeling of complex systems with application to the flyby and Pioneer anomaly
- The Renormalization Group and Weyl-invariance
- From Brans-Dicke gravity to a geometrical scalar-tensor theory
- The conformal transformation's controversy: what are we missing?
- Cheng-Weyl Vector Field and its Cosmological Application
- Implication of Compensator Field and Local Scale Invariance in the Standard Model
- The roots of scalar-tensor theory: an approximate history
- Einstein-Cartan Theory
- Broken Weyl-Invariance and the Origin of Mass
- About Some Problems Raised by the Relativistic Form of De-Broglie--Bohm Theory of Pilot Wave
- Geometric realizations, curvature decompositions, and Weyl manifolds
- A Weyl-Dirac Cosmological Model with DM and DE
- Variational and conformal structure of nonlinear metric-connection gravitational lagrangians
- Broken Scale Invariance in the Standard Model
- Dual geometries and spacetime singularities
- Cosmological models in Weyl geometrical scalar-tensor theory
- Weyl geometry in late 20th century physics
- Cosmological spacetimes balanced by a scale covariant scalar field
- Weyl geometric gravity and "breaking" of electroweak symmetry
- Gravity and the Tenacious Scalar Field
- Weyl structures on quaternionic manifolds. A state of the art
- On the geometry of cosmological model building
- Understanding Quantum Theory in Terms of Geometry
- Nonlocality, No-Signalling and Bell's Theorem investigated by Weyl's Conformal Differential Geometry
- Scale invariance and broken electroweak symmetry may coexist together
- Scale invariance: fake appearances
- Clusters of galaxies in a Weyl geometric approach to gravity
- Ab initio derivation of the quantum Dirac equation by conformal differential geometry: the "Affine Quantum Mechanics'"
- Conformally coupled dark matter
- Transformations of units and world's geometry
- Nowadays cosmology with the Weyl-Dirac approach
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- Weyl gauge symmetry and its spontaneous breaking in Standard Model and inflation
- Power-law cosmology in Weyl-type gravity
- A scalar field inducing a non-metrical contribution to gravitational acceleration and a compatible add-on to light deflection
- On the physical interpretation of non-metricity in Brans-Dicke gravity