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We propose and solve mathematically a simple euclidean model for quantum gravity in one dimension. In the case of an open curve, the continuum limit is trivial, that is, the size of the universe is infinite, independently of the value of…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Ricardo Paszko

Bekenstein has presented evidence for the existence of a universal upper bound of magnitude $2\pi R/\hbar c$ to the entropy-to-energy ratio $S/E$ of an arbitrary {\it three} dimensional system of proper radius $R$ and negligible…

General Relativity and Quantum Cosmology · Physics 2011-03-02 Shahar Hod

We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy-momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without…

General Relativity and Quantum Cosmology · Physics 2015-05-18 J. L. Jaramillo , E. Gourgoulhon

The mysterious `dark energy' needed to explain the current observations, poses a serious confrontation between fundamental physics and cosmology. The present crisis may be an outcome of the (so far untested) prediction of the general theory…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Ram Gopal Vishwakarma

To date, both quantum theory, and Einstein's theory of general relativity have passed every experimental test in their respective regimes. Nevertheless, almost since their inception, there has been debate surrounding whether they should be…

Quantum Physics · Physics 2016-11-02 A. D. K. Plato , C. N. Hughes , M. S. Kim

If the presence of a gravitational field breaks the Lorentz symmetry valid for special relativity, an "absolute motion" might be detectable. We summarize a scalar theory of gravity with a such "ether", which starts from a tentative…

General Physics · Physics 2011-12-09 Mayeul Arminjon

Energy-momentum (and angular momentum) for the Metric-Affine Gravity theory is considered from a Hamiltonian perspective (linked with the Noether approach). The important roles of the Hamiltonian boundary term and the many choices involved…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James M. Nester , Chiang-Mei Chen , Yu-Heui Wu

Here we describe the quantum limit to measurement of the classical gravitational field. Specifically, we write down the optimal quantum Cramer-Rao lower bound, for any single parameter describing a metric for spacetime. The standard…

General Relativity and Quantum Cosmology · Physics 2012-11-07 T. G. Downes , G. J. Milburn , C. M. Caves

General Relativity has shown an outstanding observational success in the scales where it has been directly tested. However, modifications have been intensively explored in the regimes where it seems either incomplete or signals its own…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Jose Beltran Jimenez , Lavinia Heisenberg , Gonzalo J. Olmo , Diego Rubiera-Garcia

Special theory of relativity has been formulated in a vacuum momentum-energy representation which is equivalent to Einstein special relativity and predicts just the same results as it. Although in this sense such a formulation would be at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. F. Gonzalez-Diaz

By taking into account both quantum mechanical and general relativistic effects, I derive an equation that describes some limitations on the measurability of space-time distances. I then discuss possible features of quantum gravity which…

General Relativity and Quantum Cosmology · Physics 2015-06-25 G. Amelino-Camelia

Einstein's theory of gravity admits a low energy effective quantum field description from which predictions beyond classical general relativity can be drawn. As gravitational wave detectors improve, one may ask whether non-classical…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Thiago Guerreiro

Physical consequences from gravitation equations based on Poincar\'{e} ideas of relativity of space and time in respect of measuring instruments are considered. The most interesting of them are the possibility of the existence of stable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. V. Verozub

A fundamental problem with attempting to quantize general relativity is its perturbative non-renormalizability. However, this fact does not rule out the possibility that non-perturbative effects can be computed, at least in some…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Viqar Husain , Sebastian Jaimungal

We review the implications of modern higher-dimensional theories of gravity for astrophysics and cosmology. In particular, we discuss the latest developments of space-time-matter theory in connection with dark matter, particle dynamics and…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Tomas Liko , James M. Overduin , Paul S. Wesson

Using the Einstein energy-mass relation and a concept of cross-correlating material unit-fields (pp. 1-148), the quantum equation for united gravitation and electromagnetism is derived (pp. 148-164). The unified equation yields all known…

General Physics · Physics 2017-07-26 S. V. Kukhlevsky

Conventional general relativity supplies the notion of a vacuum tension and thus a maximum force $F_{max}=c^4/4G\approx\ 3\times 10^{43}$ Newtons, that is realized for a black hole. In conjunction with the Wilson area rule, we are thus led…

High Energy Astrophysical Phenomena · Physics 2025-01-06 Orlando Panella , Simone Pacetti , Giorgio Immirzi , Yogendra N. Srivastava

We derive the quantum Einstein equations (which are the quantum generalisation of the Einstein equations of classical gravity) from Bohmian quantum gravity. Bohmian quantum gravity is a non-classical geometrodynamics (in the ADM formalism)…

General Relativity and Quantum Cosmology · Physics 2020-08-11 Detlef Dürr , Ward Struyve

Can we give the graviton a mass? Does it even make sense to speak of a massive graviton? In this essay I shall answer these questions in the affirmative. I shall outline an alternative to Einstein Gravity that satisfies the Equivalence…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Matt Visser

In the timescape scenario cosmic acceleration is understand as an apparent effect, due to gravitational energy gradients that grow when spatial curvature gradients become significant with the nonlinear growth of cosmic structure. This…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-14 David L. Wiltshire
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