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In the present discussion Background Independent framework of Quantum Mechanics and its possible implications in the studies of gravity and Physics at short distance are addressed. The expression of the metric of quantum state space…

综合物理 · 物理学 2009-01-09 Aalok

I provide a new idea based on geometric analysis to obtain a positive mass gap in pure non-abelian renormalizable Yang-Mills theory. The orbit space, that is the space of connections of Yang-Mills theory modulo gauge transformations, is…

高能物理 - 理论 · 物理学 2023-11-14 Puskar Mondal

The conflict between the locality of general relativity, reflected in its space-time description, and the non-locality of quantum mechanics, contained in its Hilbert space description, is discussed. Gauge covariant non-local observables…

量子物理 · 物理学 2009-11-07 Jeeva Anandan

We discuss some effects induced by quantum field fluctuations on mass, inertia and gravitation. Recalling the problem raised by vacuum field fluctuations with respect to inertia and gravitation, we show that vacuum energy differences, such…

广义相对论与量子宇宙学 · 物理学 2011-01-27 Marc-Thierry Jaekel , Serge Reynaud

A new, globally regular model describing a static, non spherical gravitating object in General Relativity is presented. The model is composed by a vacuum Weyl--Levi-Civita special field - the so called gamma metric - generated by a regular…

广义相对论与量子宇宙学 · 物理学 2014-11-17 L. Herrera , G. Magli , D. Malafarina

A theory of massive gravity depends on a non-dynamical 'reference metric' f_{\mu\nu} which is often taken to be the flat Minkowski metric. In this paper we examine the theory of perturbations on a background with metric g_{\mu\nu} which…

广义相对论与量子宇宙学 · 物理学 2014-04-11 Pietro Guarato , Ruth Durrer

The Cosmological Gravitational Wave Background (CGWB) anisotropies contain valuable information about the physics of the early universe. Given that General Relativity is intrinsically nonlinear, it is important to look beyond first-order…

宇宙学与河外天体物理 · 物理学 2025-07-29 Alina Mierna , Sabino Matarrese , Nicola Bartolo , Angelo Ricciardone

In a previous work General Relativity has been presented as a microscopic theory of finite and discrete point-like fields that we associate to a classical description of gravitons. The standard macroscopic continuous field is retrieved as…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Manoelito M. de Souza , Robson N. Silveira

We study general relativity in the framework of non-commutative differential geometry. In particular, we introduce a gravity action for a space-time which is the product of a four dimensional manifold by a two-point space. In the simplest…

高能物理 - 理论 · 物理学 2008-11-26 A. H. Chamseddine , G. Felder , J. Fröhlich

Electromagnetic fields which solve the vacuum Maxwell equations in one spacetime are well-known to also be solutions in all spacetimes with conformally-related metrics. This provides a sense in which electromagnetism alone cannot be used to…

广义相对论与量子宇宙学 · 物理学 2017-04-13 Abraham I. Harte

The equations of motion for $N$ non-relativistic particles attracting according to Newton's law are shown to correspond to the equations for null geodesics in a $(3N+2)$-dimensional Lorentzian, Ricci-flat, spacetime with a covariantly…

高能物理 - 理论 · 物理学 2009-07-09 C. Duval , G. Gibbons , P. Horvathy

First we review the definition of a negative point mass singularity. Then we examine the gravitational lensing effects of these singularities in isolation and with shear and convergence from continuous matter. We review the Inverse Mean…

微分几何 · 数学 2010-08-12 Nicholas Robbins

We introduce and develop the 1+3 covariant approach to relativity and cosmology to spacetimes of arbitrary dimensions that have nonzero torsion and do not satisfy the metricity condition. Focusing on timelike observers, we identify and…

广义相对论与量子宇宙学 · 物理学 2018-12-05 Damianos Iosifidis , Christos G. Tsagas , Anastasios C. Petkou

A long-standing problem in physics is why observed masses are always positive. While energy conditions in quantum field theory can partly answer this problem, in this paper we find evidence that classical general relativity abhors negative…

广义相对论与量子宇宙学 · 物理学 2025-02-12 Níckolas de Aguiar Alves , Andre G. S. Landulfo , Bruno Arderucio Costa

We demonstrate that the extension of the space-time metric to incorporate two anticommuting property coordinates automatically leads to the unification of gravity with nonabelian gauge theory, as well as producing a cosmological term.

高能物理 - 理论 · 物理学 2015-01-14 P. D. Stack , R. Delbourgo

On the basis of a 5-dimensional form of space-time transformations non-relativistic quantum mechanics is reformulated in a manifestly covariant manner. The resulting covariance resembles that of the conventional relativistic quantum…

量子物理 · 物理学 2007-05-23 Minoru Omote , Susumu Kamefuchi

The algebras of non-relativistic and of classical mechanics are unstable algebraic structures. Their deformation towards stable structures leads, respectively, to relativity and to quantum mechanics. Likewise, the combined relativistic…

数学物理 · 物理学 2009-10-31 R. Vilela Mendes

Area metrics are an intriguing generalization of length metrics which appears in several quantum-gravity approaches. We describe the space of diffeomorphism-invariant area-metric actions quadratic in fluctuations and derivatives. A general…

广义相对论与量子宇宙学 · 物理学 2024-06-18 Johanna N. Borissova , Bianca Dittrich , Kirill Krasnov

It is shown explicitly that in the framework of Bohmian quantum gravity, the equations of motion of the space-time metric are Einstein's equations plus some quantum corrections. It is observed that these corrections are not covariant. So…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Ali Shojai , Fatimah Shojai , Mehdi Golshani

We discuss an approach to gravitational waves based on Geometric Algebra and Gauge Theory Gravity. After a brief introduction to Geometric Algebra (GA), we consider Gauge Theory Gravity, which uses symmetries expressed within the GA of flat…

广义相对论与量子宇宙学 · 物理学 2019-12-13 Anthony N. Lasenby
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