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We consider Einstein Gravity coupled to dynamical matter consisting of a gauge field with any compact gauge group and minimally coupled scalar fields. We investigate the conditions under which a free specification of a spatial field…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Domenico Giulini

We argue in a model-independent way that the Hilbert space of quantum gravity is locally finite-dimensional. In other words, the density operator describing the state corresponding to a small region of space, when such a notion makes sense,…

High Energy Physics - Theory · Physics 2017-11-22 Ning Bao , Sean M. Carroll , Ashmeet Singh

The formalism based on the equal-time Wigner function of the two-point correlation function for a quantized Klein--Gordon field is presented. The notion of the gauge-invariant Wigner transform is introduced and equations for the…

High Energy Physics - Phenomenology · Physics 2009-10-22 C. Best , P. Gornicki , W. Greiner

In this work we study the dynamics of the Local Group (LG) within the context of cosmological models beyond General Relativity (GR). Using observable kinematic quantities to identify candidate pairs we build up samples of simulated LG-like…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 Edoardo Carlesi , David F. Mota , Hans Winther

We show that there exists a duality between the local coordinates and the solutions of the Klein-Gordon equation in curved spacetime in the same sense as in the Minkowski spacetime. However, the duality in curved spacetime does not have the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. A. De Andrade , I. V. Vancea

'Locality' is a fraught word, even within the restricted context of Bell's theorem. As one of us has argued elsewhere, that is partly because Bell himself used the word with different meanings at different stages in his career. The…

Quantum Physics · Physics 2018-09-06 Mojtaba Ghadimi , Michael J. W. Hall , Howard M. Wiseman

It is argued that while quantum mechanics contains nonlocal or entangled states, the instantaneous or nonlocal influences sometimes thought to be present due to violations of Bell inequalities in fact arise from mistaken attempts to apply…

Quantum Physics · Physics 2012-02-22 Robert B. Griffiths

Relative Locality is a recent approach to the quantum-gravity problem which allows to tame nonlocality effects which may rise in some models which try to describe Planck-scale physics. I here explore the effect of Relative Locality on basic…

High Energy Physics - Theory · Physics 2014-12-10 Niccoló Loret

We describe the free Dirac field in a four dimensional spacetime as a locally covariant quantum field theory in the sense of Brunetti, Fredenhagen and Verch, using a representation independent construction. The freedom in the geometric…

Mathematical Physics · Physics 2010-10-20 Ko Sanders

Density-dependent potentials are frequently used in materials simulations due to their approximate description of many-body effects at minimal computational cost. However, in order to apply such models to multi-component systems, an…

Chemical Physics · Physics 2020-09-14 Peter Vanya , James A. Elliott

Gravitational wave observations can provide unprecedented insight into the fundamental nature of gravity and allow for novel tests of modifications to General Relativity. One proposed modification suggests that gravity may undergo a phase…

General Relativity and Quantum Cosmology · Physics 2019-12-05 Mohammed Khalil , Noah Sennett , Jan Steinhoff , Alessandra Buonanno

We analyse the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry.…

High Energy Physics - Theory · Physics 2009-11-11 Chong-Sun Chu , Ko Furuta , Takeo Inami

We provide a general algorithm to construct a Hamiltonian, such that its dynamical flow covariantly defines any given spherically symmetric and static metric. This Hamiltonian is defined as a linear combination of the standard (general…

General Relativity and Quantum Cosmology · Physics 2025-11-21 Asier Alonso-Bardaji , David Brizuela

We describe a completely general and fully non-perturbative framework for constructing dynamical reference frames in generally covariant theories, and for understanding the gauge-invariant observables that they yield. Our approach makes use…

High Energy Physics - Theory · Physics 2022-06-06 Christophe Goeller , Philipp A. Hoehn , Josh Kirklin

We give an example of fulfillment of the condition of locality--no information transfer between certain subsystems--in a tripartite quantum system whose dynamics can not be decomposed (non-sequential dynamics of the system). The three…

Quantum Physics · Physics 2007-05-23 Miroljub Dugic

The issue of non-locality in quantum mechanics can potentially be resolved by considering relativistically covariant diffusion in four-dimensional spacetime. Stochastic particles described by the Klein-Gordon equation are shown to undergo a…

Quantum Physics · Physics 2024-01-09 Adam Brownstein

Matter interacting classically with gravity in 3+1 dimensions usually gives rise to a continuum of degrees of freedom, so that, in any attempt to quantize the theory, ultraviolet divergences are nearly inevitable. Here, we investigate…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gerard 't Hooft

The study of circular orbits is fundamental in gravitational physics, yet their definition in dynamical spacetimes remains challenging due to the lack of temporal symmetry. In this work, we establish a unified framework by commencing from…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Yong Song

By regarding the vacuum as a perfect fluid with equation of state p=-rho, de Sitter's cosmological model is quantized. Our treatment differs from previous ones in that it endows the vacuum with dynamical degrees of freedom. Instead of being…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Flavio G. Alvarenga , Nivaldo A. Lemos

Bell nonlocality is an intriguing property of quantum mechanics with far reaching consequences for information processing, philosophy and our fundamental understanding of nature. However, nonlocality is a statement about static correlations…

Quantum Physics · Physics 2025-12-19 Nick von Selzam , Florian Marquardt