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The observed dark energy in the universe might give particles inertial mass. We investigate one realization of this idea, that the dark energy field might be a decayed scalar component of a supermultiplet field in the early universe that…

Astrophysics · Physics 2007-05-23 Robert J. Nemiroff , Bijunath Patla

Causal structure, inertial path structure and compatibility with quantum mechanics demand no full Lorentz metric, but only an integrable Weyl geometry for space time (Ehlers/Pirani/Schild 1972, Audretsch e.a. 1984). A proposal of (Tann…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Erhard Scholz

A Weyl geometric scale covariant approach to gravity due to Omote, Dirac, and Utiyama (1971ff) is reconsidered. It can be extended to the electroweak sector of elementary particle fields, taking into account their basic scaling freedom.…

High Energy Physics - Theory · Physics 2015-05-27 Erhard Scholz

We discuss the gravitational Higgs mechanism in domain wall background solutions that arise in the theory of 5-dimensional Einstein-Hilbert gravity coupled to a scalar field with a non-trivial potential. The scalar fluctuations in such…

High Energy Physics - Theory · Physics 2014-11-18 Zurab Kakushadze , Peter Langfelder

We investigate the coupling of matter to geometry in conformal quadratic Weyl gravity, by assuming a coupling term of the form $L_m\tilde{R}^2$, where $L_m$ is the ordinary matter Lagrangian, and $\tilde{R}$ is the Weyl scalar. The coupling…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Tiberiu Harko , Shahab Shahidi

The Weyl meson arises in theories with local scale invariance. It acts as a candidate for dark matter in a generalized Standard Model with local scale invariance. The Higgs particle is absent from the physical spectrum in this theory. We…

High Energy Physics - Phenomenology · Physics 2013-05-29 Naveen K. Singh , Pankaj Jain , Subhadip Mitra , Sukanta Panda

{\it If gravity is a metric field by Einstein, it is a Higgs field.} Gravitation theory meets spontaneous symmetry breaking in accordance with the Equivalence Principle reformulated in the spirit of Klein-Chern geometries of invariants. In…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Sardanashvily

This paper presents three aspects by which the Weyl geometric generalization of Riemannian geometry, and of Einstein gravity, sheds light on actual questions of physics and its philosophical reflection. After introducing the theory's…

General Relativity and Quantum Cosmology · Physics 2015-07-28 Erhard Scholz

A fundamental property of the Standard Model is that the Higgs potential becomes unstable at large values of the Higgs field. For the current central values of the Higgs and top masses, the instability scale is about $10^{11}$ GeV and…

High Energy Physics - Phenomenology · Physics 2019-05-24 José Ramón Espinosa , Davide Racco , Antonio Riotto

The properties of the recently discovered Higgs boson together with the absence of new physics at collider experiments allows us to speculate about consistently extending the Standard Model of particle physics all the way up to the Planck…

High Energy Physics - Phenomenology · Physics 2019-03-14 Javier Rubio

We consider a coupling of conformal gravity to the classically scale-invariant B-L extended standard model which has been recently proposed as a phenomenologically viable model realizing the Coleman-Weinberg mechanism of breakdown of the…

High Energy Physics - Phenomenology · Physics 2015-06-15 Ichiro Oda

Black hole (BH) solution in the conformal Weyl gravity is a generalization of the Schwarzschild spacetime which includes two additional constants appearing when integrating the third order differential equations for gravitational field. One…

General Relativity and Quantum Cosmology · Physics 2021-02-24 R. A. Konoplya

The Higgs field is conventionally treated as a small local perturbation atop a large, constant vacuum value that uniformly permeates the universe. I propose instead that in regions of extreme gravitational intensity -- such as near…

High Energy Physics - Theory · Physics 2025-09-11 Itzhak Bars

We consider a Yang-Mills type gauge theory of gravity based on the conformal group SO(4,2) coupled to a conformally invariant real scalar field. The goal is to generate fundamental dimensional constants via spontaneous breakdown of the…

General Relativity and Quantum Cosmology · Physics 2024-11-08 Jack Gegenberg , Gabor Kunstatter

A lucid interpretation of the longstanding hierarchy problem is proposed based on the unconventional model of the universe recently proposed by the authors. Our heuristic cosmological model is developed by considering Penrose and Petit's…

General Physics · Physics 2024-06-05 Hirofumi Sakuma , Izumi Ojima , Kazuya Okamura

Weyl's conformal theory of gravity is an extension of Einstein's theory of general relativity which associates metrics with 1-forms . In the case of locally integrable (closed non-exact) 1-forms the spacetime manifolds are no more simply…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Michel Duneau

We study the theory of Weyl conformal gravity with matter degrees of freedom in a conformally invariant interaction. Specifically, we consider a triplet of scalar fields and SO(3) non-abelian gauge fields, i.e. the Georgi-Glashow model…

High Energy Physics - Theory · Physics 2009-08-07 A. Edery , Luca Fabbri , M. B. Paranjape

We introduce a dynamical model to reduce a large cosmological constant to a sufficiently small value. The basic ingredient in this model is a distinction which has been made between the two unit systems used in cosmology and particle…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Yousef Bisabr

We describe the general structure of the spherically symmetric solutions in the Weyl conformal gravity. The corresponding Bach equations are derived for the special type of metrics, which can be considered as the representative of the…

General Relativity and Quantum Cosmology · Physics 2016-04-21 V. A. Berezin , V. I. Dokuchaev , Yu. N. Eroshenko

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
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