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In this work we present a discussion of the existing links between the procedures of endowing the quantum gravity with a real time and of including in the theory a physical reference frame. More precisely, as first step, we develop the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Simone Mercuri , Giovanni Montani

Using gauge/gravity duality, we deduce several nontrivial consequences of quantum gravity from simple properties of the dual field theory. These include: (1) a version of cosmic censorship, (2) restrictions on evolution through black hole…

High Energy Physics - Theory · Physics 2017-07-26 Netta Engelhardt , Gary T. Horowitz

We analyze the dynamics of the gravitational field when the covariance is restricted to a synchronous gauge. In the spirit of the Noether theorem, we determine the conservation law associated to the Lagrangian invariance and we outline that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Giovanni Montani , Francesco Cianfrani

In its canonical formulation, general relativity is subject to gauge transformations that are equivalent to space-time coordinate changes of general covariance only when the gauge generators, given by the Hamiltonian and diffeomorphism…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Martin Bojowald , Erick I. Duque

The framework of a theory of gravity from the quantum to the classical regime is presented. The paradigm shift from full spacetime covariance to spatial diffeomorphism invariance, together with clean decomposition of the canonical…

General Relativity and Quantum Cosmology · Physics 2019-12-06 Chopin Soo , Hoi-Lai Yu

We investigate an action that includes simultaneously original and dual gravitational fields (in the first order formalism), where the dual fields are completely determined in terms of the original fields through axial gauge conditions and…

High Energy Physics - Theory · Physics 2008-11-26 U. Ellwanger

We present and analyze a gauge-invariant quantum theory of the Friedmann-Robertson-Walker universe with dust. We construct the reduced phase space spanned by gauge-invariant quantities by using the so-called relational formalism at the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Fumitoshi Amemiya , Tatsuhiko Koike

We develop a model of one-dimensional (Conformal) Quantum Gravity. By discussing the connection between Goldstone and Gauge theories, we establish that this model effectively computes the partition function of the Schwarzian theory where…

High Energy Physics - Theory · Physics 2022-04-13 Dionysios Anninos , Diego M. Hofman , Stathis Vitouladitis

For a 1+1 dimensional theory of gravity with torsion different approaches to the formulation of a quantum theory are presented. They are shown to lead to the same finite dimensional quantum system. Conceptual questions of quantum gravity…

High Energy Physics - Theory · Physics 2010-04-06 Peter Schaller , Thomas Strobl

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,…

High Energy Physics - Theory · Physics 2007-05-23 Ning Wu

One of the main technical obstacles in constructing a consistent theory of quantum gravity is that the metric itself defines the causal structure required for quantization. This motivates implementing quantum aspects of gravity through an…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Johas Morales , Yuri Bonder

A nonpertubative approach to quantum gravity using precanonical field quantization originating from the covariant De Donder-Weyl Hamiltonian formulation which treats space and time variables on equal footing is presented. A generally…

General Relativity and Quantum Cosmology · Physics 2014-11-17 I. V. Kanatchikov

Semiclassical gravity couples classical gravity to the quantized matter in meanfield approximation. The meanfield coupling is problematic for two reasons. First, it ignores the quantum fluctuation of matter distribution. Second, it violates…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Lajos Diósi

The incompatibility between GR and QM is generally seen as a sufficient motivation for the development of a theory of Quantum Gravity. If - so a typical argumentation - QM gives a universally valid basis for the description of all natural…

General Relativity and Quantum Cosmology · Physics 2009-02-03 Reiner Hedrich

The Schr\"odinger equation is shown to be equivalent to a constrained Liouville equation under the assumption that phase space is extended to Grassmann algebra valued variables. For onedimensional systems, the underlying Hamiltonian…

High Energy Physics - Theory · Physics 2009-11-10 H. -T. Elze

The different roles and natures of spacetime appearing in a quantum field theory and in classical physics are analyzed implying that a quantum theory of gravitation is not necessarily a quantum theory of curved spacetime. Developing an…

General Relativity and Quantum Cosmology · Physics 2015-06-16 C. Wiesendanger

We consider a timelike geodesic congruence in the presence of perturbative quantum fluctuations of the spacetime metric. We calculate the change in the volume of a bundle of geodesics due to such fluctuations and thereby obtain a…

General Relativity and Quantum Cosmology · Physics 2023-05-29 Sang-Eon Bak , Maulik Parikh , Sudipta Sarkar , Francesco Setti

In a previous work and in terms of an exact quantum-mechanical framework, $\hbar$-independent causal and retarded expectation values of the second-quantized electro-magnetic fields in the Coulomb gauge were derived in the presence of a…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Bo-Sture K. Skagerstam , Karl-Erik Eriksson , Per K. Rekdal

We present a short, general and accessible introduction to quantizing gravity in the Heisenberg picture. We then apply this formalism to the scenario where two spatially superposed masses interact through the gravitational field. We discuss…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Vlatko Vedral

Yes, there is. - A new kind of gauge theory is introduced, where the minimal coupling and corresponding covariant derivatives are defined in the space of functions pertaining to the functional Schroedinger picture of a given field theory.…

Quantum Physics · Physics 2008-11-26 Hans-Thomas Elze
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