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Viewing gravitational energy momentum $p_G^\mu$ as equal by observation, but different in essence from inertial energy-momentum $p_I^\mu$ requires two different symmetries to account for their independent conservations - spacetime and inner…

Mathematical Physics · Physics 2012-02-28 C. Wiesendanger

We consider a Higgs mechanism in scale-invariant theories of gravitation. It is shown that in spontaneous symmetry breakdown of scale invariance, gauge symmetries are also broken spontaneously even without the Higgs potential if the…

High Energy Physics - Phenomenology · Physics 2013-08-22 Ichiro Oda

We derive the covariant equations of motion for Maxwell field theory and electrodynamics in multiscale spacetimes with weighted Laplacian. An effective spacetime-dependent electric charge of geometric origin naturally emerges from the…

High Energy Physics - Theory · Physics 2014-01-16 Gianluca Calcagni , Joao Magueijo , David Rodríguez Fernández

Scale invariant theories which contain maximal rank gauge field strengths (of $D$ indices in $D$ dimensions) are studied. The integration of the equations of motion of these gauge fields leads to the s.s.b. of scale invariance. The cases in…

High Energy Physics - Theory · Physics 2009-11-10 E. I. Guendelman

Location dependence of physical parameters such as the electromagnetic fine structure constant and Newton's G produce body accelerations which violate universality of free fall rates testable with laboratory and space experiments.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kenneth Nordtvedt

We discuss the possibility of a class of gauge theories, in four Euclidean dimensions, to describe gravity at quantum level. The requirement is that, at low energies, these theories can be identified with gravity as a geometrodynamical…

High Energy Physics - Theory · Physics 2015-06-12 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

In gauge theories, physical histories are represented by space-time connections modulo gauge transformations. The space of histories is thus intrinsically non-linear. The standard framework of constructive quantum field theory has to be…

High Energy Physics - Theory · Physics 2007-05-23 A. Ashtekar , J. Lewandowski , D. Marolf , J. Mourao , T. Thiemann

We present important elements of a gauge and diffeomorphism invariant formulation of the moduli space approximation to soliton dynamics. We argue that explicit velocity-dependent modifications are determined entirely from gauge and…

High Energy Physics - Theory · Physics 2016-09-06 Bernard de Wit , Jürg Käppeli

Starting with a simple two scalar field system coupled to a modified measure that is independent of the metric, we, first, find a Born-Infeld dynamics sector of the theory for a scalar field and second, show that the initial scale…

High Energy Physics - Theory · Physics 2020-08-11 T. O. Vulfs , E. I. Guendelman

We review the study of inhomogeneous perturbations about a homogeneous and isotropic background cosmology. We adopt a coordinate based approach, but give geometrical interpretations of metric perturbations in terms of the expansion, shear…

Astrophysics · Physics 2010-04-23 Karim A. Malik , David Wands

An implicit fundamental assumption in relativistic perturbation theory is that there exists a parametric family of spacetimes that can be Taylor expanded around a background. The choice of the latter is crucial to obtain a manageable…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Marco Bruni , Leonardo Gualtieri , Carlos F. Sopuerta

We investigate the scalar sector of linear cosmological perturbations in quadratic gravity. Working in the Einstein frame, we derive the equations of motion in a gauge-independent manner and express them in terms of three sets of…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Adrian Palomares , Ying-li Zhang , Jinsu Kim

The advent of general relativity settled it once and for all that a theory of spacetime is inextricably linked to the theory of gravity. From the point of view of the gauge principle of Weyl and Yang-Mills-Utiyama, it became manifest around…

General Relativity and Quantum Cosmology · Physics 2014-05-06 Friedrich W. Hehl

Measurements of the luminosity distance have played a key role in discovering the late-time cosmic acceleration. However, when accounting for inhomogeneities in the Universe, its interpretation has been plagued with infrared divergences in…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-03 Sang Gyu Biern , Jaiyul Yoo

We introduce gravity theories featuring spontaneously growing gauge fields where the growth is due to the Higgs mechanism. The underlying physics is inspired by the spontaneous scalarization phenomena in scalar-tensor theories. The…

General Relativity and Quantum Cosmology · Physics 2019-10-08 Fethi M Ramazanoğlu

The gauge structure of the four dimensional effective theory originated in a pure five dimensional Yang-Mills theory compactified on the orbifold $S^1/Z_2$, is discussed on the basis of the BRST symmetry. If gauge parameters propagate in…

High Energy Physics - Phenomenology · Physics 2015-05-27 H. Novales-Sánchez , J. J. Toscano

Existing expressions in the literature appear to indicate that Doppler boosting, due to our proper motion with respect to the isotropic frame of the universe, can amplify stochastic gravitational wave backgrounds whose energy spectra…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-30 Giorgio Mentasti , Carlo R. Contaldi , Marco Peloso

Gauge-invariant field strengths, defined as parallel transports to infinity of ordinary field strengths, naturally emerge in a few physical phenomena governed by $QCD$. One of them is confinement of colour. Despite the arbitrariness in…

High Energy Physics - Lattice · Physics 2025-06-06 Adriano Di Giacomo

We consider the construction of gauge theories of gravity, focussing in particular on the extension of local Poincar\'e invariance to include invariance under local changes of scale. We work exclusively in terms of finite transformations,…

General Relativity and Quantum Cosmology · Physics 2016-09-30 Anthony Lasenby , Michael Hobson

In this paper we investigate the form of induced gauge fields that arises in two types of quantum systems. In the first we consider quantum mechanics on coset spaces G/H, and argue that G-invariance is central to the emergence of the…

High Energy Physics - Theory · Physics 2009-10-28 Peter Levay , David McMullan , Izumi Tsutsui