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The Copenhagen interpretation of quantum entanglement experiments is at best incomplete, since the intermediate state induced by collapse of the wave function apparently depends upon the inertial rest frame in which the experiment is…

量子物理 · 物理学 2016-02-16 Alan McKenzie

Classical mechanics, relativity, electrodynamics and quantum mechanics are often depicted as separate realms of physics, each with its own formalism and notion. This remains unsatisfactory with respect to the unity of nature and to the…

物理学史与哲学 · 物理学 2018-02-07 C. Baumgarten

We give a systematic and thorough study of geometric notions and results connected to Minkowski's measure of symmetry and the extension of the well-known Minkowski functional to arbitrary, not necessarily symmetric convex bodies K on any…

经典分析与常微分方程 · 数学 2007-05-23 Szilard Gy. Revesz

In arXiv:2312.14108, we argued that a sliver at the black hole mass in the Hilbert space of a quantum field theory on an AdS black hole with a stretched horizon, has many desirable features of black hole microstates. A key observation is…

高能物理 - 理论 · 物理学 2024-09-10 Vaibhav Burman , Chethan Krishnan

The notions of the interior and truncated connections of a nonholonomic manifold are introduced. A class of extended truncated connections is distinguished. For the case of a contact space with a Finsler metric, it is shown that there…

微分几何 · 数学 2011-03-23 Sergey V. Galaev

The aim of the paper is to develop a unified algebraical approach to representing the Minkowski difference for convex polyhedra. Namely, there is proposed an exact analytical formulas of the Minkowski difference for convex polyhedra with…

最优化与控制 · 数学 2019-03-20 Z. R. Gabidullina

A twistor construction of the hierarchy associated with the hyper-K\"ahler equations on a metric (the anti-self-dual Einstein vacuum equations, ASDVE, in four dimensions) is given. The recursion operator R is constructed and used to build…

微分几何 · 数学 2009-10-31 Maciej Dunajski , Lionel J. Mason

Three postulates asserting the validity of conventional quantum theory, semi-classical general relativity and the statistical basis for thermodynamics are introduced as a foundation for the study of black hole evolution. We explain how…

高能物理 - 理论 · 物理学 2009-10-07 L. Susskind , L. Thorlacius , J. Uglum

The worldline of a uniformly accelerated localized observer in Minkowski space is restricted in the Rindler wedge, where the observer can in principle arrange experiments repeatedly, and the Cauchy problem for quantum fields in that Rindler…

广义相对论与量子宇宙学 · 物理学 2020-06-08 Shih-Yuin Lin

The equivalence of a conformal metric on 4-dimensional space-time and a local field of 3-dimensional subspaces of the space of 2-forms over space-time is discussed and the basic notion of transection is introduced. Corresponding relation is…

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

Consistency between quantum mechanical and general relativistic views of the world is a longstanding problem, which becomes particularly prominent in black hole physics. We develop a coherent picture addressing this issue by studying the…

高能物理 - 理论 · 物理学 2015-07-06 Yasunori Nomura , Fabio Sanches , Sean J. Weinberg

We study the global structure of the exact two-dimensional space-time which emerges from string theory. Previous work has shown that in the semi-classical limit, this is a black hole similar to the Schwarzschild solution. However, we find…

高能物理 - 理论 · 物理学 2009-10-22 Malcolm J. Perry , Edward Teo

This work is a purely syntactic geometric exploration of some few elements, which are our axioms, that in last instance it is the set of differential equations whose solutions give the geodesic lines of the Schwarzschild spacetime. We…

综合数学 · 数学 2023-11-23 M. P. Dussan , A. P. Franco Filho

A longstanding enigma within AdS/CFT concerns the entanglement entropy of holographic quantum fields in Rindler space. The vacuum of a quantum field in Minkowski spacetime can be viewed as an entangled thermofield double of two Rindler…

高能物理 - 理论 · 物理学 2024-03-19 Roberto Emparan , Javier M. Magan

The space-time length R between a moving source and the observation point is calculated in order to substitute with it the spatial distance D, normally used in the Newton's law of gravitation, as well as in any inverse-square-law.…

综合物理 · 物理学 2016-09-21 Giuseppina Modestino

The aim of this talk is to provide non-experts with a brief and elementary introduction on the field of extra dimensions. The main motivation for extra dimensions relies on the more fundamental string theories that predict ten (or eleven)…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Quiros

Simultaneity is a well-defined notion in special relativity once a Minkowski metric structure is fixed on the spacetime continuum (manifold) of events. In quantum gravity, however, the metric is not expected to be a fixed, classical…

量子物理 · 物理学 2007-05-23 Pieter Kok , Ulvi Yurtsever , Samuel L. Braunstein , Jonathan P. Dowling

We revisit the notion of quantum Lie algebra of symmetries of a noncommutative spacetime, its elements are shown to be the generators of infinitesimal transformations and are naturally identified with physical observables. Wave equations on…

高能物理 - 理论 · 物理学 2017-11-22 Paolo Aschieri , Andrzej Borowiec , Anna Pachol

Accurate and efficient prediction of three-dimensional (3D) fields in wave interactions with large, complex-shaped objects is essential for applications in electromagnetic computation, computer graphics, optical metrology, and freeform…

Using the recently established formalism of a worldline quantum field theory (WQFT) description of the classical scattering of two spinless black holes, we compute the far-field time-domain waveform of the gravitational waves produced in…

广义相对论与量子宇宙学 · 物理学 2021-05-26 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Jan Steinhoff