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Related papers: Gravitational null rays: Covariant Quantization an…

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In this work, we study the classical phase space for the gravitational degrees of freedom along a null ray. We construct gauge-invariant observables localized on a null ray segment that commute with those localized on the complement; thus,…

High Energy Physics - Theory · Physics 2026-04-28 Laurent Freidel , Josh Kirklin

In the absence of external relata, internal quantum reference frames (QRFs) appear widely in the literature on quantum gravity, gauge theories and quantum foundations. Here, we extend the perspective-neutral approach to QRF covariance to…

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

Employing internal quantum systems as reference frames is a crucial concept in quantum gravity, gauge theories and quantum foundations whenever external relata are unavailable. In this work, we give a comprehensive and self-contained…

Quantum Physics · Physics 2022-11-30 Philipp A. Hoehn , Marius Krumm , Markus P. Mueller

Given the importance of quantum reference frames (QRFs) to both quantum and gravitational physics, it is pertinent to develop a systematic method for switching between the descriptions of physics relative to different choices of QRFs, which…

Quantum Physics · Physics 2023-08-23 Augustin Vanrietvelde , Philipp A. Hoehn , Flaminia Giacomini

In general relativity, the description of spacetime relies on idealised rods and clocks, which identify a reference frame. In any concrete scenario, reference frames are associated to physical systems, which are ultimately quantum in…

Quantum Physics · Physics 2021-07-28 Flaminia Giacomini

Canonical quantization of gravity requires knowledge about the representation theory of its constraint algebra, which is physically equivalent to the algebra of arbitrary 4-diffeomorphisms. All interesting lowest-energy representations are…

High Energy Physics - Theory · Physics 2007-09-20 T. A. Larsson

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

Free scalar field theory on 2 dimensional flat spacetime, cast in diffeomorphism invariant guise by treating the inertial coordinates of the spacetime as dynamical variables, is quantized using LQG type `polymer' representations for the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alok Laddha , Madhavan Varadarajan

Canonical vacuum gravity is expressed in generally-covariant form in order that spacetime diffeomorphisms be represented within its equal-time phase space. In accordance with the principle of general covariance, the time mapping ${\T}:…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Ioannis Kouletsis

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

We investigate the action of diffeomorphisms in the context of Hamiltonian Gravity. By considering how the diffeomorphism-invariant Hilbert space of Loop Quantum Gravity should be constructed, we formulate a physical principle by demanding,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tim Koslowski

Based on the canonical quantization of $d>2$ dimensional general relativity (GR) via the Dirac constraint formalism (also termed as `constraint quantization'), we propose the loss of covariance as a fundamental property of the theory. This…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Farrukh A. Chishtie

We develop an operational framework, combining relativistic quantum measurement theory with quantum reference frames (QRFs), in which local measurements of a quantum field on a background with symmetries are performed relative to a QRF.…

Mathematical Physics · Physics 2024-12-20 Christopher J. Fewster , Daan W. Janssen , Leon Deryck Loveridge , Kasia Rejzner , James Waldron

We develop a quantum effective action for scalar-tensor theories of gravity which is both spacetime diffeomorphism invariant and field reparameterisation (frame) invariant beyond the classical approximation. We achieve this by extending the…

High Energy Physics - Theory · Physics 2020-08-26 Kieran Finn , Sotirios Karamitsos , Apostolos Pilaftsis

The framework of internal quantum reference frames (QRFs) constitutes a universal toolset for dealing with symmetries in quantum theory and has led to new revelations in quantum gravity, gauge theories and foundational physics. Multiple…

Quantum Physics · Physics 2025-09-09 Julian De Vuyst , Philipp A. Hoehn , Artur Tsobanjan

Viewing frames of reference as physical systems, subject to the same laws as the systems they describe, is central to the relational approach in physics. Under the assumption that quantum mechanics universally governs all physical entities,…

Quantum Physics · Physics 2025-04-22 Michael Suleymanov , Avishy Carmi , Eliahu Cohen

Modular crossed product algebras have recently assumed an important role in perturbative quantum gravity as they lead to an intrinsic regularization of entanglement entropies by introducing quantum reference frames (QRFs) in place of…

High Energy Physics - Theory · Physics 2025-05-27 Julian De Vuyst , Stefan Eccles , Philipp A. Hoehn , Josh Kirklin

In this paper we will analyze the the status of gauge freedom in quantum mechanics (QM) and quantum field theory (QFT). Along with this analysis comparison with ordinary QFT will be given. We will show how the gauge freedom problem is…

Quantum Physics · Physics 2007-05-23 Jaroslaw Wawrzycki

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
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