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General relativity and quantum mechanics are perhaps the two most successful theories of the XXth century. Despite their impressive accurate predictions, they are both valid at their own scales and do not seem to be expressible using the…

综合物理 · 物理学 2019-03-01 Benoît Pairet

The methods of the renormalization group and the $\varepsilon$-expansion are applied to quantum gravity revealing the existence of an asymptotically safe fixed point in spacetime dimensions higher than two. To facilitate this, physical…

高能物理 - 理论 · 物理学 2018-01-04 Kevin Falls

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…

量子物理 · 物理学 2016-11-02 A. D. K. Plato , C. N. Hughes , M. S. Kim

The starting point of quantum mechanics is the relationship between energy and momentum: energy is proportional to the squared momentum! As a result, energy and momentum have not been treated equally. The wave equation required by…

天体物理学 · 物理学 2010-01-30 Jin He

The Einstein Equivalence Principle (EEP), stating that all laws of physics take their special-relativistic form in any local inertial (classical) reference frame, lies at the core of general relativity. Because of its fundamental status,…

量子物理 · 物理学 2023-06-23 Flaminia Giacomini , Časlav Brukner

The Einstein equivalence principle is based on the equality of gravitational mass and inertial mass, which has led to the universality of a free-fall concept. The principle has been extremely well tested so far and has been tested with a…

广义相对论与量子宇宙学 · 物理学 2023-03-06 Sougato Bose , Anupam Mazumdar , Martine Schut , Marko Toroš

Einstein's happiest thought was his leap from the observation that a falling person feels no gravity to the realization that gravity might be equivalent to acceleration. It affects all bodies in the same way because it is a property of…

物理学史与哲学 · 物理学 2024-10-17 Paul Worden , James Overduin

We propose a new program to quantize and renormalize gravity based on recent progress on the analysis of large random tensors. We compare it briefly with other existing approaches.

高能物理 - 理论 · 物理学 2015-06-03 Vincent Rivasseau

Many physical constants related to quantized gravity, e.g., the Planck length, mass, curvature, stress-energy, etc., are nonanalytic in G at G=0, and thus have expansions in powers of G whose terms are progressively more divergent with…

综合物理 · 物理学 2011-03-28 Steven Kenneth Kauffmann

As is well known, the universally accepted theory as quantum gravity (QG) doesn't exist. One of the main reasons for that is that quantized general relativity is perturbatively nonrenormalizable. But there are several theories whose…

高能物理 - 理论 · 物理学 2007-05-23 T. Tsuneyama

General relativity and quantum mechanics are conflicting theories. The seeds of discord are the fundamental principles on which these theories are grounded. General relativity, on one hand, is based on the equivalence principle, whose…

广义相对论与量子宇宙学 · 物理学 2015-06-25 R. Aldrovandi , J. G. Pereira , K. H. Vu

Gravitational response of real objects is a fascinating topic. Einstein formalized the Galileo-Newton ideas of equality of free falls into complete physical equivalence or the Principle of Equivalence [Albert Einstein, The meaning of…

广义相对论与量子宇宙学 · 物理学 2009-08-27 Timir Datta , Ming Yin

This paper has been withdrawn by the author after further work showed the proposed theoretical approach cannot fit planetary perihelion precession data. As presented, the theory doesn't fit gravitational light deflection by the sun either,…

综合物理 · 物理学 2014-03-28 Steven Kenneth Kauffmann

A broad class of generalized Einstein's gravity can be cast into Einstein's gravity with a minimally coupled scalar field using suitable conformal rescaling of the metric. Using this conformal equivalence between the theories, we derive the…

广义相对论与量子宇宙学 · 物理学 2011-09-30 J. Hwang

We propose general guidelines in order to incorporate the geometrical description of gravity in quantum field theory and address the problem of UV divergences non-perturbatively. In our aproach, each virtual particle in a Feynman graph…

广义相对论与量子宇宙学 · 物理学 2009-07-24 Roberto Casadio

It is pointed out that at present we only prove that inertial static mass and gravitational static mass are equivalent. We have not proved that inertial moving mass and gravitational moving mass are also equivalent. It is proved by the…

综合物理 · 物理学 2007-05-23 Mei Xiaochun

We review some recent developments in the conformal gravity theory that has been advanced as a candidate alternative to standard Einstein gravity. As a quantum theory the conformal theory is both renormalizable and unitary, with unitarity…

高能物理 - 理论 · 物理学 2015-05-27 Philip D. Mannheim

The quantum gravity is formulated based on principle of local gauge invariance. The model discussed in this paper has local gravitational gauge symmetry and gravitational field is represented by gauge field. In leading order approximation,…

高能物理 - 理论 · 物理学 2007-05-23 Ning Wu

We prove the renormalizability of quantum gravity near two dimensions. The successful strategy is to keep the volume preserving diffeomorphism as the manifest symmetry of the theory. The general covariance is recovered by further imposing…

高能物理 - 理论 · 物理学 2009-10-28 Yoshihisa Kitazawa

We profit by a recent paper of Visser claiming that Rastall gravity is equivalent to Einstein gravity to compare the two gravitational theories in a general way. Our conclusions are different from Visser's ones. We indeed argue that these…

广义相对论与量子宇宙学 · 物理学 2018-01-16 F. Darabi , H. Moradpour , I. Licata , Y. Heydarzade , C. Corda