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The questions of describing observables and observation in quantum gravity appear to be centrally important to its physics. A relational approach holds significant promise, and a classification of different types of relational observables…

High Energy Physics - Theory · Physics 2025-06-13 Steven B. Giddings

Quantum field theory - our basic framework for describing all non-gravitational physics - conflicts with general relativity: the latter precludes the standard definition of the former's essential principle of locality, in terms of commuting…

High Energy Physics - Theory · Physics 2016-11-23 William Donnelly , Steven B. Giddings

We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II$_1$. There is a natural notion of entropy…

High Energy Physics - Theory · Physics 2023-07-04 Venkatesa Chandrasekaran , Roberto Longo , Geoff Penington , Edward Witten

Two sets of spatially diffeomorphism invariant operators are constructed in the loop representation formulation of quantum gravity. This is done by coupling general relativity to an anti- symmetric tensor gauge field and using that field to…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Lee Smolin

Gauge-invariant observables for quantum gravity are described, with explicit constructions given primarily to leading order in Newton's constant, analogous to and extending constructions first given by Dirac in quantum electrodynamics.…

High Energy Physics - Theory · Physics 2016-07-19 William Donnelly , Steven B. Giddings

Whereas local field operators play the crucial role in reconciling quantum mechanics and special relativity, they are not trivially compatible with the diffeomorphism invariance of gravity. In order to address this issue, we consider the…

High Energy Physics - Theory · Physics 2026-03-05 Min-Seok Seo

Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isometries and compact Cauchy…

High Energy Physics - Theory · Physics 2026-02-23 Molly Kaplan , Donald Marolf , Xuyang Yu , Ying Zhao

Some recent work has postulated the existence of an "observer" for a consistent definition of subregion algebras in gravitational universes. The subregion algebras consist of operators dressed to this "observer" and are typically Type II…

High Energy Physics - Theory · Physics 2025-06-17 Hao Geng , Yikun Jiang , Jiuci Xu

This paper explores construction of gauge (diffeomorphism)-invariant observables in anti de Sitter (AdS) space and the related question of how to find a "holographic map" providing a quantum equivalence to a boundary theory. Observables are…

High Energy Physics - Theory · Physics 2018-12-05 Steven B. Giddings , Alex Kinsella

Gravitational effective field theories with nondynamical backgrounds explicitly break diffeomorphism and local Lorentz invariance. At the same time, to maintain observer independence the action describing these theories is required to be…

High Energy Physics - Theory · Physics 2016-11-23 Robert Bluhm , Amar Sehic

We study the algebra of observables in semiclassical quantum gravity for cosmological backgrounds, focusing on two key examples: slow-roll inflation and evaporating Schwarzschild-de Sitter black holes. In both cases, we demonstrate the…

High Energy Physics - Theory · Physics 2024-06-06 Chang-Han Chen , Geoff Penington

In gauge theories and gravity, field variables are generally not gauge-invariant observables, but such observables may be constructed by "dressing" these or more general operators. Dressed operators create particles, together with their…

High Energy Physics - Theory · Physics 2019-12-11 Steven B. Giddings

We study the algebra of observables in a time band on the boundary of anti-de Sitter space in a theory of quantum gravity. Strictly speaking this algebra does not have a commutant because products of operators within the time band give rise…

High Energy Physics - Theory · Physics 2025-02-25 Kristan Jensen , Suvrat Raju , Antony J. Speranza

The dressing field method is a tool to reduce gauge symmetries. Here we extend it to cover the case of diffeomorphisms. The resulting framework is a systematic scheme to produce Diff(M)-invariant objects, which has a natural relational…

Mathematical Physics · Physics 2025-01-23 Jordan T. Francois Andre

We address the construction and interpretation of diffeomorphism-invariant observables in a low-energy effective theory of quantum gravity. The observables we consider are constructed as integrals over the space of coordinates, in analogy…

High Energy Physics - Theory · Physics 2009-09-29 Steven B. Giddings , Donald Marolf , James B. Hartle

A central lesson of gravity is that local observables are ill-defined. Coordinates themselves are a redundancy of description, so any particular point in spacetime is only meaningful once defined relationally by clocks, rulers, or…

High Energy Physics - Theory · Physics 2026-05-26 Clifford Cheung , Allic Sivaramakrishnan , Jordan Wilson-Gerow , Lihang Zhou

The two-point function of linearized gravitons on de Sitter space is infrared divergent in the standard transverse traceless synchronous gauge defined by $k=0$ cosmological coordinates (also called conformal or Poincare coordinates). We…

High Energy Physics - Theory · Physics 2016-03-22 Atsushi Higuchi , Donald Marolf , Ian A. Morrison

The crossed product, and consequent transition from von Neumann algebras of type III to II, is recovered from a truncation of more general gravitational dressing constructions, about certain spacetimes. This is done by extending "standard…

High Energy Physics - Theory · Physics 2026-01-12 Steven B. Giddings

Local observables in (perturbative) quantum gravity are notoriously hard to define, since the gauge symmetry of gravity -- diffeomorphisms -- moves points on the manifold. In particular, this is a problem for backgrounds of high symmetry…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Markus B. Fröb , Albert Much , Kyriakos Papadopoulos

Assuming the von Neumann algebra associated with a generic de Sitter observer is properly infinite (type III) we use Connes cocycle to identify the unique ( up to unitary equivalence) background independent dominant weight on an extended…

High Energy Physics - Theory · Physics 2023-11-06 Cesar Gomez
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