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In 1687, Isaac Newton published the universal law of gravitation stating that two bodies attract each other with a force proportional to the product of their masses and the inverse square of the distance. The constant of proportionality, G,…

经典物理 · 物理学 2007-05-23 Mikhail L. Gershteyn , Lev I. Gershteyn , Arkady Gershteyn , Oleg V. Karagioz

The fundamental interactions of nature, the electroweak and the quantum chromodynamics, are described in the Standard Model by the Gauge Theory under internal symmetries that maintain the invariance of the functional action. The fundamental…

广义相对论与量子宇宙学 · 物理学 2019-05-21 Wytler Cordeiro dos Santos

Transverse Diffeomorphism (TDiff) theories are well-motivated theories of gravity from the quantum perspective, which are based upon a gauge symmetry principle. The main contribution of this work is to firmly establish a correspondence…

高能物理 - 理论 · 物理学 2012-05-23 J. J. Lopez-Villarejo

Already in the 1970s there where attempts to present a set of ground rules, sometimes referred to as a theory of gravitation theories, which theories of gravity should satisfy in order to be considered viable in principle and, therefore,…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thomas P Sotiriou , Valerio Faraoni , Stefano Liberati

We deform two-dimensional topological gravity by making use of its gauge theory formulation. The obtained noncommutative gravity model is shown to be invariant under a class of transformations that reduce to standard diffeomorphisms once…

高能物理 - 理论 · 物理学 2009-11-07 S. Cacciatori , A. H. Chamseddine , D. Klemm , L. Martucci , W. A. Sabra , D. Zanon

It is shown the antisymmetric part of the metric tensor is the potential for the spin field. Various metricity conditions are discussed and comparisons are made to other theories, including Einstein's. It is shown in the weak field limit…

广义相对论与量子宇宙学 · 物理学 2019-01-17 Richard T Hammond

We develop the covariant phase space formulation of Weyl-transverse gravity (WTG) in the presence of general timelike and spacelike boundaries. WTG is classically equivalent to General Relativity (GR) but possesses a reduced gauge symmetry…

广义相对论与量子宇宙学 · 物理学 2026-01-23 Gloria Odak , Salvatore Ribisi

We propose a new class of gravity-matter models defined in terms of two independent non-Riemannian volume forms (alternative generally covariant integration measure densities) on the spacetime manifold. For the matter we choose appropriate…

高能物理 - 理论 · 物理学 2015-07-23 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

We propose that the gauge principle of d-dimensional Euclidean quantum gravity is Weyl invariance in its stochastic (d+1)-dimensional bulk. Observables are defined as depending only on conformal classes of d-dimensional metrics. We work…

高能物理 - 理论 · 物理学 2020-02-03 Laurent Baulieu , Luca Ciambelli , Siye Wu

We explore a background-independent theory of composite gravity. The vacuum expectation value of the composite metric satisfies Einstein's equations (with corrections) as a consistency condition, and selects the vacuum spacetime. A…

广义相对论与量子宇宙学 · 物理学 2021-06-09 Austin J. Batz , Joshua Erlich , Luke Mrini

We show that gravity together with curved spacetime can emerge, at the microscopic scale, from a U(1) gauge field. The gauge boson that carries gravity, of elementary particles, is proved to be a spin one massless and electrically neutral…

广义相对论与量子宇宙学 · 物理学 2009-10-03 Jean Paul Mbelek

It is shown that any theory of gravitation, based on the hypothesis of the geodesic motion of test particles must be invariant under geodesic (projecive) mappings of the used space-time. The reason is that due to invariance of the equations…

广义相对论与量子宇宙学 · 物理学 2011-07-25 Leonid V. Verozub

A framework is developed which quantifies the local exchange of energy and momentum between matter and the linearized gravitational field. We derive the unique gravitational energy-momentum tensor consistent with this description, and find…

广义相对论与量子宇宙学 · 物理学 2010-11-26 Luke M. Butcher , Michael Hobson , Anthony Lasenby

A gauge theory of quantum gravity is formulated, in which an internal, field dependent metric is introduced which non-linearly realizes the gauge fields on the non-compact group $SL(2,C)$, while linearly realizing them on $SU(2)$.…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. W. Moffat

Suggested theory involves a drastic revision of a role of local internal symmetries in physical concept of curved geometry. Under the reflection of fields and their dynamics from Minkowski to Riemannian space a standard gauge principle of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 G. T. Ter-Kazarian

We show that we can derive the asymptotic Einstein's equations that arises at order $1/r$ in asymptotically flat gravity purely from symmetry considerations. This is achieved by studying the transformation properties of functionals of the…

高能物理 - 理论 · 物理学 2022-11-04 Laurent Freidel , Daniele Pranzetti

Our conventional system of physical units is based on local or microscopic {\it dimensional} quantities which are {\it defined}, for convenience or otherwise aesthetic reasons, to be spacetime-independent. A more general choice of units may…

综合物理 · 物理学 2013-08-06 Meir Shimon

Following the formalism of enveloping algebras and star product calculus we formulate and analyze a model of gauge gravity on noncommutative spaces and examine the conditions of its equivalence to general relativity. The corresponding…

高能物理 - 理论 · 物理学 2014-11-18 Sergiu I. Vacaru

An explicit proof of the vanishing of the covariant divergence of the energy-momentum tensor in modified theories of gravity is presented. The gravitational action is written in arbitrary dimensions and allowed to depend nonlinearly on the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Tomi Koivisto

We study the general class of gravitational field theories constructed on the basis of scale invariance (and therefore absence of any mass parameters) and invariance under transverse diffeomorphisms (TDiff), which are the 4-volume…

高能物理 - 理论 · 物理学 2011-08-12 Diego Blas , Mikhail Shaposhnikov , Daniel Zenhausern