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Despite the widely-held premise that initial boundary conditions (BCs) corresponding to measurements/interactions can fully specify a physical subsystem, a literal reading of Hamilton's principle would imply that both initial and final BCs…

量子物理 · 物理学 2011-03-18 Ken Wharton

We consider the Cauchy problem for the Gross-Pitaevskii infinite linear hierarchy of equations on $\mathbb{R}^n.$ By introducing a (F)-norm in certain Sobolev type spaces of sequences of marginal density matrices, we establish local…

数学物理 · 物理学 2014-03-12 Zeqian Chen

Finsler geometry motivates a generalization of the Riemannian structure of spacetime to include dependence of the spacetime metric and associated invariant tensor fields on the four-velocity coordinates as well as the spacetime coordinates…

高能物理 - 理论 · 物理学 2007-05-23 Howard E. Brandt

Schwarzschild's actual exterior solution (Gs) is resurrected and together with the manifold M is shown to constitute a space-time possessing all the properties historically thought to be required of a point mass. On the other hand, the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Leonard S. Abrams

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…

量子物理 · 物理学 2021-07-28 Flaminia Giacomini

Quantum theory violates Bell's inequality, but not to the maximum extent that is logically possible. We derive inequalities (generalizations of Cirel'son's inequality) that quantify the upper bound of the violation, both for the standard…

量子物理 · 物理学 2009-11-07 Dennis Dieks

This is the written version of a talk I gave at the 35th Symposium Ahrenshoop in Berlin, Germany, August 2002. It is an exposition of joint work with S. Doplicher, K. Fredenhagen, and Gh. Piacitelli [1]. The violation of unitarity found in…

高能物理 - 理论 · 物理学 2009-11-07 D. Bahns

The picture of space-time that Minkowski created in 1907 has been followed by two important developments in physics not contained in the original picture: general relativity and quantum mechanics. We will argue that the use of concepts of…

广义相对论与量子宇宙学 · 物理学 2013-02-22 Rodolfo Gambini , Jorge Pullin

We obtain an improved version of the area theorem for not necessarily differentiable horizons which, in conjunction with a recent result on the completeness of generators, allows us to prove that under the null energy condition every…

广义相对论与量子宇宙学 · 物理学 2015-07-28 E. Minguzzi

While quantum mechanics allows spooky action at a distance at the level of the wave-function, it also respects locality since there is no instantaneous propagation of real physical effects. We show that this feature can be proved in the…

综合物理 · 物理学 2022-01-28 Ali Kaya

While quantum field theory could more aptly be called the "quantum field framework" $-$ as it encompasses a vast variety of varying concepts and theories $-$ in comparison, relativity, both special and general, is more commonly portrayed as…

广义相对论与量子宇宙学 · 物理学 2019-06-27 Sebastian Schuster , Matt Visser

It is currently widely accepted, as a result of Bell's theorem and related experiments, that quantum mechanics is inconsistent with local realism and there is the so called quantum non-locality. We show that such a claim can be justified…

量子物理 · 物理学 2007-05-23 Andrei Khrennikov , Igor Volovich

In my previous work, physics/0205011, I reported several observations on special relativity, its experimental facts and its relations to quantum mechanics and statistical mechanics. These observations made us conscious: Special relativity…

综合物理 · 物理学 2007-05-23 Jian-Miin Liu

This paper makes the simple observation that a fundamental length, or cutoff, in the context of Friedmann-Lema\^itre-Robertson-Walker (FRW) cosmology implies very different things than for a static universe. It is argued that it is…

宇宙学与河外天体物理 · 物理学 2011-01-13 Marvin Weinstein

I propose a new and direct connection between classical mechanics and quantum mechanics where I derive the quantum mechanical propagator from a variational principle. This variational principle is Hamilton's modified principle generalized…

量子物理 · 物理学 2009-12-15 John Hegseth

States of a generic quantum field theory on a curved spacetime are considered which satisfy the KMS condition with respect to an evolution associated with a complete (Killing) vector field. It is shown that at any point where the vector…

数学物理 · 物理学 2019-06-10 Nicola Pinamonti , Ko Sanders , Rainer Verch

Several authors have recently explored the idea that physical constants such as c and G might vary over time and have formulated theories describing this variation that can address a range of cosmological problems. Such work typically…

天体物理学 · 物理学 2007-05-23 A. Buchalter

In this paper, the Cauchy problem for a Friedrichs system on a globally hyperbolic manifold with a timelike boundary is investigated. By imposing admissible boundary conditions, the existence and the uniqueness of strong solutions are…

偏微分方程分析 · 数学 2024-07-15 Nicolas Ginoux , Simone Murro

Wave-particle duality, superposition and entanglement are among the most counterintuitive features of quantum theory. Their clash with our classical expectations motivated hidden-variable (HV) theories. With the emergence of quantum…

量子物理 · 物理学 2015-03-30 Radu Ionicioiu , Thomas Jennewein , Robert B. Mann , Daniel R. Terno

I propose to formalize quantum theories as topological quantum field theories in a generalized sense, associating state spaces with boundaries of arbitrary (and possibly finite) regions of space-time. I further propose to obtain such…

高能物理 - 理论 · 物理学 2007-05-23 Robert Oeckl