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We propose an EPR inequality based on an entropic uncertainty relation for complementary continuous variable observables. This inequality is more sensitive than the previously established EPR inequality based on inferred variances, and…

Quantum Physics · Physics 2009-07-27 S. P. Walborn , A. Salles , R. M. Gomes , F. Toscano , P. H. Souto Ribeiro

Several other factors, besides the intrinsic local geometry, contribute to give a meaning to a space-time model. The simplest example comes from comparing Minkowski's and Milne's model, that both have a null Riemann tensor. We add to these…

General Relativity and Quantum Cosmology · Physics 2007-12-05 Ll. Bel

Within any anticipated unifying theory of quantum gravity, it should be meaningful to combine the fundamental notions of quantum superposition and spacetime to obtain so-called "spacetime superpositions": that is, quantum superpositions of…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Joshua Foo , Cemile Senem Arabaci , Magdalena Zych , Robert B. Mann

We present a new scheme of defining invariant observables for general relativistic systems. The scheme is based on the introduction of an observer which endowes the construction with a straightforward physical interpretation. The…

General Relativity and Quantum Cosmology · Physics 2014-05-23 Paweł Duch , Wojciech Kamiński , Jerzy Lewandowski , Jedrzej Świeżewski

The well-known Heisenberg--Robertson uncertainty relation for a pair of noncommuting observables, is expressed in terms of the product of variances and the commutator among the operators, computed for the quantum state of a system.…

Quantum Physics · Physics 2019-09-25 David Puertas Centeno , Mariela Portesi

We discuss non-commutative field theories in coordinate space. To do so we introduce pseudo-localized operators that represent interesting position dependent (gauge invariant) observables. The formalism may be applied to arbitrary field…

High Energy Physics - Theory · Physics 2007-05-23 David Berenstein , Robert G. Leigh

A large class of quantum field theories on 1+1 dimensional Minkowski space, namely, certain integrable models, has recently been constructed rigorously by Lechner. However, the construction is very abstract and the concrete form of local…

Mathematical Physics · Physics 2013-04-30 Henning Bostelmann , Daniela Cadamuro

In Minkowski spacetime, we consider an isolated system made of two pointlike bodies interacting at a distance, in the nonradiative approximation. Our framework is the covariant and a priori Hamiltonian formalism of "predictive relativistic…

Classical Physics · Physics 2015-06-17 Philippe Droz-Vincent

A pedagogical description of a simple ungeometrical approach to General Relativity is given, which follows the pattern of well understood field theories, such as electrodynamics. This leads quickly to most of the important weak field…

Astrophysics · Physics 2007-05-23 Norbert Straumann

An uniformly accelerated observer can build his proper system of coordinates in a delimited sector of the flat Minkowski spacetime. The properties of the position and time coordinate lines for such an observer are studied and compared with…

Classical Physics · Physics 2008-11-26 Claude Semay

We discuss the issue of observables in general-relativistic perturbation theory, adopting the view that any observable in general relativity is represented by a scalar field on spacetime. In the context of perturbation theory, an observable…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Marco Bruni , Sebastiano Sonego

We propose a nonlocal field theory for gravity in presence of matter consistent with perturbative unitarity, quantum finiteness, and other essential classical properties that we are going to list below. First, the theory exactly reproduces…

General Relativity and Quantum Cosmology · Physics 2021-03-09 Leonardo Modesto

After a review of the problems induced by the Lorentz signature of Minkowski space-time, like the need of a clock synchronization convention for the definition of 3-space and the complexity of the notion of relativistic center of mass,…

Quantum Physics · Physics 2015-05-20 Luca Lusanna

Bell's theorem depends crucially on counterfactual reasoning, and is mistakenly interpreted as ruling out a local explanation for the correlations which can be observed between the results of measurements performed on spatially-separated…

Quantum Physics · Physics 2007-05-23 Mark A. Rubin

It is often argued that hypothetic nonlocal reality responsible for nonlocal quantum correlations between entangled particles cannot be consistent with relativity. I review the most frequent arguments of that sort, explain how they can all…

Quantum Physics · Physics 2011-04-01 H. Nikolic

We present a quantum model for the motion of N point particles, implying nonlocal (i.e., superluminal) influences of external fields on the trajectories, that is nonetheless fully relativistic. In contrast to other models that have been…

Quantum Physics · Physics 2017-08-23 Sheldon Goldstein , Roderich Tumulka

The Poincar\'e sector of a recently deformed conformal algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, the symmetries of a new relativistic theory with two observer-independent…

High Energy Physics - Theory · Physics 2016-11-09 Nicola Rossano Bruno

We consider a continuous-variable quantum teleportation protocol between a uniformly accelerated sender in the right Rindler wedge, a conformal receiver restricted to the future light cone, and an inertial observer in the Minkowski vacuum.…

Quantum Physics · Physics 2023-01-11 Joshua Foo , Timothy C. Ralph

We investigate some aspects of relativistic classical theories with "relative locality", in which pairs of events established to be coincident by nearby observers may be described as non-coincident by distant observers. While previous…

High Energy Physics - Theory · Physics 2012-09-20 Giovanni Amelino-Camelia , Leonardo Barcaroli , Niccoló Loret

In this paper it is introduced and studied an alternative theory of gravitation in flat Minkowski space. Using an antisymmetric tensor, which is analogous to the tensor of electromagnetic field, a non-linear connection is introduced. It is…

General Relativity and Quantum Cosmology · Physics 2013-12-17 Kostadin Trencevski , Emilija G. Celakoska , Vladimir Balan