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First, we briefly review the description of gravity theories as gauge theories in three and four dimensions. Specifically, we recall the procedure in which the results of General Relativity in three and four dimensions are recovered in a…

High Energy Physics - Theory · Physics 2019-07-16 G. Manolakos , P. Manousselis , G. Zoupanos

Advances in gauge theories and unified theories have not thrown light on the meaning of electron. The problem of the origin of electronic charge is made precise, new insights gained from Weyl space are summarized, and the origin of charge…

General Physics · Physics 2007-05-23 S C Tiwari

Motivated by an axiomatic approach to characterize space-time it is investigated a reformulation of Einstein's gravity where the pseudo-riemannian geometry is substituted by a Weyl one. It is presented the main properties of the Weyl…

General Relativity and Quantum Cosmology · Physics 2011-12-19 F. P. Poulis , J. M. Salim

In this paper we apply the symmetry principle in order to search for an alternative unified explanation of several cosmological puzzles such as the present stage of accelerated expansion of the Universe and the Hubble tension issue, among…

General Relativity and Quantum Cosmology · Physics 2023-01-13 Israel Quiros

We investigate the warm inflationary scenario in the Weyl geometric gravity theory, in which the action is constructed by adding matter to the simplest conformally invariant gravitational action in Weyl geometry. The $\tilde{R}^2$ theory…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Runhua Huang , Tiberiu Harko , Shi-Dong Liang , Hong-Hao Zhang , Lei Ming

We first investigate the form the General Relativity Theory would have taken had the gravitational mass and the inertial mass of material objects been different. We then extend this analysis to electromagnetism and postulate an equivalence…

General Relativity and Quantum Cosmology · Physics 2020-01-09 Murat Özer

In this thesis, we attempt to gain a more complete insight into Double Layer Theories in Weyl Gravity. In order to do this, we first establish the premise of Weyls Theory, including its provenance, development and flaws. This is all…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Victor Berezin , Kushan Dharmadarshi

Starting from first principles and general assumptions Newton's law of gravitation is shown to arise naturally and unavoidably in a theory in which space is emergent through a holographic scenario. Gravity is explained as an entropic force…

High Energy Physics - Theory · Physics 2011-04-20 Erik P. Verlinde

At the beginning of the 20th century the classical electron theory (or, perhaps more appropriately, the classical electromagnetic mass theory) - the first physical theory that dared ask the question of what inertia and mass were - was…

General Physics · Physics 2012-07-30 Vesselin Petkov

A new geometry, called General geometry, is constructed. It is proven that its the most simplest special case is geometry underlying Electromagnetism. Another special case is Riemannian geometry. Action for electromagnetic field and Maxwell…

General Physics · Physics 2007-05-23 Shervgi Shahverdiyev

One of the important extensions of Riemann geometry is Weyl geometry, which is essentially based on the ideas of conformal invariance and nonmetricity. A similar non-Riemannian geometry was proposed by Erwin Schr\"{o}dinger in the late…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Lei Ming , Shi-Dong Liang , Hong-Hao Zhang , Tiberiu Harko

During the last five decades, gravity, as one of the fundamental forces of nature, has been formulated as a gauge theory of the Weyl-Cartan-Yang-Mills type. The present text offers commentaries on the articles from the most prominent…

General Relativity and Quantum Cosmology · Physics 2022-05-10 Milutin Blagojević , Friedrich W. Hehl

We argue that a spontaneous breakdown of local Weyl invariance offers a mechanism in which gravitational interactions contribute to the generation of particle masses and their electric charge. The theory is formulated in terms of a…

High Energy Physics - Theory · Physics 2009-11-07 T. Dereli , R. W. Tucker

The developed theory proves that a universal vortex motion, along with the pressure variation in a space continuum called ether, is actually the source of the universal gravitation and creation of celestial bodies and their motion in the…

Astrophysics · Physics 2007-05-23 S. A. Orlov

Including torsion in the geometric framework of the Weyl-Dirac theory we build up an action integral, and obtain from it a gauge covariant (in the Weyl sense) general relativistic massive electrodynamics. Photons having an arbitrary mass,…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Mark Israelit

Weyl's conformal gravity theory, which is considered as a compelling alternative to general relativity theory, has been claimed to describe the observed flat rotation curve feature of spiral galaxies without the need of invoking dark…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Shubhrangshu Ghosh , Mahasweta Bhattacharya , Yanzi Sherpa , Arunava Bhadra

Gravitational waves provide a unique window into gravity, cosmology, and high-energy physics, enabling the exploration of fundamental phenomena across a wide range of scales. This review presents a coherent and pedagogical framework that…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Azadeh Maleknejad

The classical double copy relates exact solutions of gauge, gravity and other theories. Although widely studied, its origins and domain of applicability have remained mysterious. In this letter, we show that a particular incarnation - the…

High Energy Physics - Theory · Physics 2021-02-17 Chris D. White

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…

History and Overview · Mathematics 2017-03-10 Erhard Scholz

Understanding of Weyl gauge symmetry is rarely associated with underlying postulates. Here we show that such an omission leads to discrepancies in regard to the reach and consequences of gauge symmetry within gravitational theories.…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Israel Quiros