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Diffeomorphism invariance is sometimes taken to be a criterion of background independence. This claim is commonly accompanied by a second, that the genuine physical magnitudes (the "observables") of background-independent theories and those…

History and Philosophy of Physics · Physics 2015-06-12 Oliver Pooley

We consider two concepts often discussed as significant features of general relativity (particularly when contrasted with the other forces of the Standard Model): background independence and diffeomorphism invariance. We remind the reader…

General Relativity and Quantum Cosmology · Physics 2015-12-14 Casey Cartwright , Alex Flournoy

It is generally believed that a full-fledged theory of quantum gravity should exhibit background independence and diffeomorphism invariance. In its most general form, the latter comprises field redefinitions, which are diffeomorphisms in…

High Energy Physics - Theory · Physics 2023-01-25 Roberto Casadio , Alexander Kamenshchik , Iberê Kuntz

We describe the definition and the role background independence and the closely related notion of diffeomorphism invariance play in modern string theory. These important concepts are transformed by a new understanding of gauge redundancies…

General Relativity and Quantum Cosmology · Physics 2010-03-03 Moshe Rozali

Diffeomorphism invariance is often considered to be a hallmark of the theory of general relativity (GR). But closer analysis reveals that this cannot be what makes GR distinctive. The concept of diffeomorphism invariance can be defined in…

General Physics · Physics 2024-07-25 Max Heitmann

This paper concerns what Background Independence itself is (as opposed to some particular physical theory that is background independent). The notions presented mostly arose from a layer-by-layer analysis of the facets of the Problem of…

General Relativity and Quantum Cosmology · Physics 2013-10-08 Edward Anderson

Diffeomorphism invariance is a feature that gets sometimes highlighted as something with profound implications in the physics of spacetime. Moreover, it is often wrongly associated exclusively with General Relativity. The fact that…

General Relativity and Quantum Cosmology · Physics 2024-05-17 Mateo Casariego

Gravitational theories with fixed background fields break diffeomorphism invariance. This breaking can be spontaneous or explicit. A brief summary of the main consequences of these types of breaking is presented.

General Relativity and Quantum Cosmology · Physics 2016-07-27 R. Bluhm

The paper considers the "GR-desideratum", that is, the way general relativity implements general covariance, diffeomorphism invariance, and background independence. Two cases are discussed where $5$-dimensional generalizations of general…

History and Philosophy of Physics · Physics 2015-04-13 Antonio Vassallo

Intuitively speaking, a classical field theory is background-independent if the structure required to make sense of its equations is itself subject to dynamical evolution, rather than being imposed ab initio. The aim of this paper is to…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Gordon Belot

We discuss the meaning of background independence in quantum theories of gravity where geometry and gravity are emergent and illustrate the possibilities using the framework of quantum causal histories.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Fotini Markopoulou

The aim of this paper is to explain carefully the arguments behind the assertion that the correct quantum theory of gravity must be background independent. We begin by recounting how the debate over whether quantum gravity must be…

High Energy Physics - Theory · Physics 2007-05-23 Lee Smolin

I discuss various aspects of background independence in the context of string theory, for which so far we have no manifestly background independent formulation. After reviewing the role of background independence in classical Einstein…

High Energy Physics - Theory · Physics 2018-12-19 Olaf Hohm

We propose a definition for background (in)/dependence in dynamical theories of the evolution of configurations that have a continuous symmetry and test this definition on particle models and on gravity. Our definition draws from Barbour's…

General Relativity and Quantum Cosmology · Physics 2010-10-13 Sean B. Gryb

The history of general relativity suggests that in absence of experimental data, constructing a theory on philosophical first principles can lead to a very useful theory as well as to ground-breaking insights about physical reality. The two…

General Relativity and Quantum Cosmology · Physics 2012-07-03 Manuel Bärenz

We argue that the demand of background independence in a quantum theory of gravity calls for an extension of standard geometric quantum mechanics. We discuss a possible kinematical and dynamical generalization of the latter by way of a…

High Energy Physics - Theory · Physics 2008-11-26 Djordje Minic , Chia-Hsiung Tze

We study the extent to which diffeomorphism invariance restricts the properties of the primordial perturbations in single scalar field models. We derive a set of identities that constrain the connected correlators of the cosmological…

High Energy Physics - Theory · Physics 2015-06-23 Cristian Armendariz-Picon , Jayanth T. Neelakanta , Riccardo Penco

Diffeomorphism invariance breaking has been investigated in the literature in several contexts, including emergent General Relativity (GR). If GR emerges from an underlying theory without diffeomorphism invariance, there may be small…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Ufuk Aydemir , Mahmut Elbistan

One of the many conceptual difficulties in the development of quantum gravity is the role of a background geometry for the structure of quantum field theory. To some extent the problem can be solved by the principle of local covariance. The…

Mathematical Physics · Physics 2011-02-14 Klaus Fredenhagen , Katarzyna Rejzner

There is a precise sense in which the requirement of background independence suffices to uniquely select the kinematics of loop quantum gravity (LQG). Specifically, the fundamental kinematic algebra of LQG admits a unique diffeomorphism…

General Relativity and Quantum Cosmology · Physics 2010-03-12 Abhay Ashtekar
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