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It is sometimes pointed out as a curiosity that the state space of quantum two-level systems, i.e. the qubit, and actual physical space are both three-dimensional and Euclidean. In this paper, we suggest an information-theoretic analysis of…

Quantum Physics · Physics 2013-05-30 Markus P. Mueller , Lluis Masanes

A basic theoretical framework is developed in which elementary particles have a component of their wave function extending into higher spatial dimensions. This model postulates an extension of the Schrodinger equation to include a 4th and…

General Physics · Physics 2016-05-16 Eric R. Hedin

Macroscopic traversable wormhole solutions to Einstein's field equations in $(2+1)$ and $(3+1)$ dimensions with a cosmological constant are investigated. Ensuring traversability severely constrains the material used to generate the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 M. S. Delgaty , R. B. Mann

The state-of-the-art physics consists of two irreconcilable branches, i.e., the quantum theory and the general relativity, which work well in their own territories, independently. However, what are quantum and spacetime after all? The key…

Quantum Physics · Physics 2022-05-13 Si-xue Qin

We review the mathematically rigorous formulation of the quantum theory of a linear field propagating in a globally hyperbolic spacetime. This formulation is accomplished via the algebraic approach, which, in essence, simultaneously admits…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert M. Wald

We study the variances of the coordinates of an event considered as quantum observables in a Poincare' covariant theory. The starting point is their description in terms of a covariant positive-operator-valued measure on the Minkowski…

Quantum Physics · Physics 2016-09-08 M. Toller

This paper initiates a program which seeks to study the allowed spatial distributions of negative energy density in quantum field theory. Here we deal with free fields in Minkowski spacetime. Known restrictions on time integrals of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Arvind Borde , L. H. Ford , Thomas A. Roman

We show that entanglement can be used to detect spacetime curvature. Quantum fields in the Minkowski vacuum are entangled with respect to local field modes. This entanglement can be swapped to spatially separated quantum systems using…

Quantum Physics · Physics 2009-03-22 Greg Ver Steeg , Nicolas C. Menicucci

Quantum mechanics has many counter-intuitive consequences which contradict our intuition which is based on classical physics. Here we discuss a special aspect of quantum mechanics, namely the possibility of entanglement between two or more…

Quantum Physics · Physics 2009-10-31 Martin B. Plenio , Vlatko Vedral

An observer at rest with the expanding universe experiences some extra noise in the quantum vacuum, and so does an accelerated observer in a vacuum at rest (in Minkowski space). The literature mainly focuses on the ideal cases of…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Ziv Landau , Ulf Leonhardt

We define the notion of mutual quantum measurements of two macroscopic objects and investigate the effect of these measurements on the velocities of the objects. We show that multiple mutual quantum measurements can lead to an effective…

Quantum Physics · Physics 2021-06-23 Walter Hahn , Boris V. Fine

I present some general ideas about quantum entanglement in relativistic quantum field theory, especially entanglement in the physical vacuum. Here, entanglement is defined between different single particle states (or modes), parameterized…

High Energy Physics - Theory · Physics 2008-11-26 Yu Shi

We study properties of a scalar quantum field theory on two-dimensional noncommutative space-times. Contrary to the common belief that noncommutativity of space-time would be a key to remove the ultraviolet divergences, we show that field…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , A. Demichev , P. Presnajder

We study the phase space structure and the quantization of a pointlike particle in 2+1 dimensional gravity. By adding boundary terms to the first order Einstein Hilbert action, and removing all redundant gauge degrees of freedom, we arrive…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Hans-Juergen Matschull , Max Welling

After a review of the existing theory of non-inertial frames and mathematical observers in Minkowski space-time we give the explicit expression of a family of such frames obtained from the inertial ones by means of point-dependent Lorentz…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Horace W. Crater , Luca Lusanna

Some superstring theories have more than one effective low-energy limit, corresponding to classical spacetimes with different dimensionalities. We argue that all but the 3+1-dimensional one might correspond to ``dead worlds'', devoid of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Max Tegmark

Physicists have speculated about the properties of the quantum vacuum for at least 85 years; however, only recently have they understood the quantum vacuum sufficiently well to begin making testable predictions. Specifically, using…

General Physics · Physics 2021-08-04 G. B. Mainland , Bernard Mulligan

We discuss nonstandard continuum quantum field theories in 2+1 dimensions. They exhibit exotic global symmetries, a subtle spectrum of charged excitations, and dualities similar to dualities of systems in 1+1 dimensions. These continuum…

Strongly Correlated Electrons · Physics 2021-02-10 Nathan Seiberg , Shu-Heng Shao

We discuss quantum inequalities for minimally coupled scalar fields in static spacetimes. These are inequalities which place limits on the magnitude and duration of negative energy densities. We derive a general expression for the quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Michael J. Pfenning , L. H. Ford

Defects are ubiquitous in nature, for example dislocations, shocks, bores, or impurities of various kinds, and their descriptions are an important part of any physical theory. However, one might ask the question: what types of defect are…

Mathematical Physics · Physics 2015-05-28 E. Corrigan