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This paper aims to discuss two issues that can have a significant impact on the foundations of the theory of gravitation: (1). The existence of relativity of space-time geometry with respect to the properties of used reference frame, which…

General Relativity and Quantum Cosmology · Physics 2010-11-30 Leonid. V. Verozub

Cosmological observations indicate that the Einstein equation may not be entirely correct to describe gravity. However, numerous modifications of these equations usually do not affect foundations of the theory. In this paper two important…

General Relativity and Quantum Cosmology · Physics 2009-12-01 Leonid V. Verozub

A general formal definition of a theory of space and time compatible with the inertia principle is given. The formal definition of reference frame and inertial equivalence between reference frames are used to construct the class of inertial…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. Caccese , V. A. Cimmelli , A. R. Pace

We propose a formulation of gravity theory in the form of a field theory in a flat space-time with a number of dimensions greater than four. Configurations of the field under consideration describe the splitting of this space-time into a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 S. A. Paston

It is shown how to write the first order action for gravity in a gauge theoretic formalism where the spin connection and frame field degrees of freedom are assimilated together into a gauge connection. It is then shown how to couple the…

High Energy Physics - Theory · Physics 2014-08-12 Steven Kerr

The gauge gravitation theory in the Riemann-Cartan space-time is investigated in order to solve the fundamental problems of the general relativity theory. The constraints for indefinite parameters of the theory under which solutions of…

General Relativity and Quantum Cosmology · Physics 2026-01-22 A. V. Minkevich

Principal ideas of gauge approach applying to gravitational interaction and leading to gravitation theory in Riemann-Cartan space-time are discussed. The principal relations of isotropic cosmology built in the framework of the Poincare…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Minkevich

The gravity is classically formulated as the geometric curvature of the space-time in general relativity which is completely different from the other well-known physical forces. Since seeking a quantum framework for the gravity is a great…

High Energy Physics - Theory · Physics 2014-09-29 Cao H. Nam

The equivalence principle postulates a frame. This implies globally special and locally general relativity. It is proposed here that spacetime emerges from the gauge potential of translations, whilst the Lorenz symmetry is gauged into the…

General Physics · Physics 2015-11-06 Tomi S. Koivisto

In this paper, we present a new theory explaining the origin of inertia based on two key ideas: gravity as a spin-1 gauge field theory and the relativity of all kinds of motion. This theory proposes that inertial mass is influenced by the…

General Physics · Physics 2024-09-17 Konstantinos I. Tsarouchas

This essay presents an accessible introduction to the basic motivations to seek a quantum theory of gravity. It focuses on one approach- loop quantum gravity - as an example of the rich philosophical issues that arise when we try to combine…

History and Philosophy of Physics · Physics 2013-08-13 Christian Wuthrich

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

Gravity can be formulated as a gauge theory by combining symmetry principles and geometrical methods in a consistent mathematical framework. The gauge approach to gravity leads directly to non-Euclidean, post-Riemannian spacetime…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Francisco Cabral , Francisco S. N. Lobo , Diego Rubiera-Garcia

Gravity, and the puzzle regarding its energy, can be understood from a gauge theory perspective. Gravity, i.e., dynamical spacetime geometry, can be considered as a local gauge theory of the symmetry group of Minkowski spacetime: the…

General Relativity and Quantum Cosmology · Physics 2018-01-30 Chiang-Mei Chen , James M. Nester

To numerically evolve the full Einstein equations (or modifications thereof), simulations of cosmological spacetimes must rely on a particular formulation of the field equations combined with a specific gauge/frame choice. Yet truly…

General Relativity and Quantum Cosmology · Physics 2023-06-30 Anna Ijjas

The concept of inertial frame of reference in classical physics and special theory of relativity is analysed. It has been shown that this fundamental concept of physics is not clear enough. A definition of inertial frame of reference is…

History and Philosophy of Physics · Physics 2023-01-03 Boris Čulina

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

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

We survey some philosophical aspects of the search for a quantum theory of gravity, emphasising how quantum gravity throws into doubt the treatment of spacetime common to the two `ingredient theories' (quantum theory and general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Butterfield , C. J. Isham

It is often said that in general relativity time does not exist. This is because the Einstein equations generate motion in time that is a symmetry of the theory, not true time evolution. In quantum gravity, the timelessness of general…

General Relativity and Quantum Cosmology · Physics 2009-09-11 Fotini Markopoulou
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