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Mimetic gravity is a modified theory of gravity which is able to incorporate dark matter into the underlying geometry of space-time by isolating the conformal degree of freedom. The theory has been studied extensively in the cosmological…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Leonid Sarieddine

In this review we present the theoretical background for treating General Relativity as an effective field theory and focus on the concrete results of such a treatment. As a result we present the calculations of the low-energy leading…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Arif Akhundov , Anwar Shiekh

We show that the Einstein-Hilbert action for the gravitational field can be obtained as a linear low-energy approximation for the dynamical massless fields in the theory with the lagrangian quadratic in the gauge field strength-tensor of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Kiselev

This paper considers the use of singular perturbation approximations for a class of linear quantum systems arising in the area of linear quantum optics. The paper presents results on the physical realizability properties of the approximate…

Systems and Control · Computer Science 2011-07-29 Ian R. Petersen

A Newtonian approach to quantum gravity is studied. At least for weak gravitational fields it should be a valid approximation. Such an approach could be used to point out problems and prospects inherent in a more exact theory of quantum…

General Relativity and Quantum Cosmology · Physics 2011-04-07 Johan Hansson

We show that an analog of the physics at the Planck scale can be found in the propagation of tightly focused laser beams. Various equations that occur in generalized quantum mechanics are formally identical to those describing the nonlinear…

Optics · Physics 2014-06-26 Claudio Conti

We explore the new physics phenomena of gravidynamics governed by the inhomogeneous spin gauge symmetry based on the gravitational quantum field theory. Such a gravidynamics enables us to derive the generalized Einstein equation and an…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Yuan-Kun Gao , Da Huang , Yong-Liang Ma , Yong Tang , Yue-Liang Wu , Yu-Feng Zhou

This article is meant as a summary and introduction to the ideas of effective field theory as applied to gravitational systems. Contents: 1. Introduction 2. Effective Field Theories 3. Low-Energy Quantum Gravity 4. Explicit Quantum…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. P. Burgess

This is an introduction to quantum gravity, aimed at a fairly general audience and concentrating on what have historically two main approaches to quantum gravity: the covariant and canonical programs (string theory is not covered). The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David Wallace

Quantum gravity is quite elusive at the experimental level; thus a lot of interest has been raised by recent searches for quantum gravity effects in the propagation of light from distant sources, like gamma ray bursters and active galactic…

General Physics · Physics 2010-12-03 Stefano Ansoldi , Edoardo Milotti

One of the major issues confronting theoretical physics is finding a quantum theory of gravity and a resolution to the cosmological constant problem. It is believed that a true quantum theory of gravity will lead to a solution to the this…

High Energy Physics - Theory · Physics 2007-09-05 Edward Tetteh-Lartey

Quantum field theory (QFT) based on the principles of special relativity (SR) and it is in fact the \emph{kinematic theory of fields}. The root assumption is that there is "relativistic description" of \emph{any} isolated quantum system in…

General Physics · Physics 2018-08-02 Peter Leifer

An one-parameter regularization freedom of the Hamiltonian constraint for loop quantum gravity is analyzed. The corresponding spatially flat, homogenous and isotropic model includes the two well-known models of loop quantum cosmology as…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Xiangdong Zhang , Gaoping Long , Yongge Ma

We study the weak-field limit of the static spherically symmetric solution of the locally conformally invariant theory advocated in the recent past by Mannheim and Kazanas as an alternative to Einstein's General Relativity. In contrast with…

Astrophysics · Physics 2010-11-19 O. Barabash , Yu. Shtanov

We report briefly on an approach to quantum theory entirely based on symmetry grounds which improves Geometric Quantization in some respects and provides an alternative to the canonical framework. The present scheme, being typically…

Mathematical Physics · Physics 2012-01-18 V. Aldaya , M. Calixto , J. Guerrero , F F López-Ruiz

Quantizing the gravitational field described by General relativity being a notorious difficult, unsolved and maybe meaningless problem I use in this essay a different strategy: I consider a linear theory in the framework of Special…

General Physics · Physics 2016-03-28 Ll. Bel

This is an introduction to the group field theory approach to quantum gravity, with emphasis on motivations and basic formalism, more than on recent results; we elaborate on the various ingredients, both conceptual and formal, of the…

General Relativity and Quantum Cosmology · Physics 2012-03-27 Daniele Oriti

I describe the treatment of gravity as a quantum effective field theory. This allows a natural separation of the (known) low energy quantum effects from the (unknown) high energy contributions. Within this framework, gravity is a well…

General Relativity and Quantum Cosmology · Physics 2010-11-01 John F. Donoghue

We continue our work on the study of spherically symmetric loop quantum gravity coupled to two spherically symmetric scalar fields, one which acts as a clock. As a consequence of the presence of the latter, we can define a true Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Rodolfo Gambini , Jorge Pullin

We consider quantum geometrodynamics and parametrized quantum field theories in the framework of the Bohm-de Broglie interpretation. In the first case, and following the lines of our previous work [1], where a hamiltonian formalism for the…

General Relativity and Quantum Cosmology · Physics 2013-06-21 N. Pinto-Neto , E. Sergio Santini