Paving the Way for Transitions—A Case for Weyl Geometry

2016

Journal of Gravity

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A model for the dark halos of galaxy clusters, based on the Weyl geometric scalar tensor theory of gravity (WST) with a MOND-like approximation, is proposed. It is uniquely determined by the baryonic mass distribution of hot gas and stars. A first heuristic check against empirical data for 19 clusters (2 of which are outliers), taken from the literature, shows encouraging results. Modulo a caveat resulting from different background theories (Einstein gravity plus ΛCDM versus WST), the total mass for 14 of the outlier reduced ensemble of 17 clusters seems to be predicted correctly (in the sense of overlapping 1 σ error intervals).

Section: Introductionmentioning

confidence: 67%

Section: Theory Dependence Of Mass Data For Galaxy Clustersmentioning

confidence: 96%

Clusters of Galaxies in a Weyl Geometric Approach to Gravity

2016

Journal of Gravity

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“…[4] have shown that, in the WKB approximation, the streamlines of a Klein-Gordon field approximate the geodesics of the Weyl metric if and only if the scale curvature vanishes. 17 [38,37,35,39,2,48].…”

Section: Scale Invariant Observables and Two Distinguished Gaugesmentioning

confidence: 99%

“…In vacuum the r.h.s. of the Einstein equation (47,48) simplifies to the quartic term ("cosmological constant") of the scalar field potential (49):…”

Section: Schwarzschild-de Sitter Solutionmentioning

confidence: 99%

MOND-Like Acceleration in Integrable Weyl Geometric Gravity

2015

Found Phys

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In this paper a Weyl geometric scalar tensor theory of gravity with scalar field φ and scale invariant cubic ("aquadratic") kinetic Lagrangian is introduced. Einstein gauge (comparable to Einstein frame in Jordan-Brans-Dicke theory) is most natural for studying trajectories. In it, the Weylian scale connection induces an additional acceleration which in the weak field, static, low velocity limit acquires the deep MOND form of Milgrom/Bekenstein's gravity. The energy momentum of φ leads to another add on to Newton acceleration. Both additional accelerations together imply a MOND-ian phenomenology of the model. It has unusual transition functions µ w (x), ν w (y). They imply higher phantom energy density than in the case of the more common MOND models with transition functions µ 1 (x), µ 2 (x). A considerable part of it is due to the scalar field's energy density which, in our model, gives a scale and generally covariant expression for the self-energy of the gravitational field.

“…The latter indicated, at first glance, an active scaling symmetry of mass/energy in high energy physics; but it turned out to hold only approximatively and was of restricted range. 19 See the discussion in (Quiros et al, 2013b) and (Scholz, 2017). 20 (Weyl, 1920) 21 Weyl's note (Weyl, 1921) became better known by his calculation and discussion of projective and conformal curvature tensors, which followed.22 See (Trautman, 2012).…”

mentioning

confidence: 99%

The Unexpected Resurgence of Weyl Geometry in late 20th-Century Physics

2018

Einstein Studies

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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.1 Such an attempt seemed to be supported experimentally by the phenomenon of (Bjorken) scaling in deep inelastic electron-proton scattering experiments. The latter indicated, at first glance, an active scaling symmetry of mass/energy in high energy physics; but it turned out to hold only approximatively and was of restricted range. 19 See the discussion in (Quiros et al., 2013b) and (Scholz, 2017). 20 (Weyl, 1920) 21 Weyl's note (Weyl, 1921) became better known by his calculation and discussion of projective and conformal curvature tensors, which followed.22 See (Trautman, 2012).