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We consider the nonlinear stochastic heat equation in one dimension. Under some conditions on the nonlinearity, we show that the "peaks" of the solution are rare, almost fractal like. We also provide an upper bound on the length of the…

概率论 · 数学 2011-10-14 Daniel Conus , Mathew Joseph , Davar Khoshnevisan

We present three necessary separability criteria for bipartite mixed states, the violation of each of these conditions is a sufficient condition for entanglement. Some ideas on the issue of finding a necessary and sufficient criterion of…

量子物理 · 物理学 2015-06-26 Shengjun Wu , Jeeva Anandan

General relativity coupled to nonlinear electrodynamics is known to have nonsingular black hole solutions. We investigate the existence conditions for such solutions in two-parameter Lagrangian ${\cal L} \left( {\cal F} , {\cal G} \right)$.…

广义相对论与量子宇宙学 · 物理学 2026-03-24 Ren Tsuda , Ryotaku Suzuki , Shinya Tomizawa

The existence of black holes and of spacetime singularities is a fundamental issue in science. Despite this, observations supporting their existence are scarce, and their interpretation unclear. We overview how strong a case for black holes…

广义相对论与量子宇宙学 · 物理学 2017-09-07 Vitor Cardoso , Paolo Pani

We obtain sufficient conditions for the uniqueness of solutions to the Cauchy problem for the continuity equation in classes of measures that need not be absolutely continuous.

偏微分方程分析 · 数学 2018-06-18 V. I. Bogachev , G. Da Prato , M. Röckner , S. V. Shaposhnikov

This paper treats boundary conditions on black hole horizons for the full 3+1D Einstein equations. Following a number of authors, the apparent horizon is employed as the inner boundary on a space slice. It is emphasized that a further…

广义相对论与量子宇宙学 · 物理学 2016-08-25 Douglas M. Eardley

The aim of this article is to prove an "almost" global existence result for some semilinear wave equations in the plane outside a bounded convex obstacle with the Neumann boundary condition.

偏微分方程分析 · 数学 2012-08-20 Soichiro Katayama , Hideo Kubo , Sandra Lucente

We present here the first experimental study of Wigner islands formed by electrons floating over helium. Electrons are trapped electrostatically in a mesoscopic structure covered with a helium film, behaving as a quantum dot. By removing…

介观与纳米尺度物理 · 物理学 2013-05-29 E. Rousseau , D. Ponarin , L. Hristakos , E. Varoquaux , O. Avenel , Yu. Mukharsky

We systematically calculate the quantum extremal surface (QES) associated with Hawking radiation for general $D$-dimensional ($D\geq2$) asymptotically flat (or AdS) eternal black holes using the island formula. We collect the Hawking…

高能物理 - 理论 · 物理学 2022-05-25 Song He , Yuan Sun , Long Zhao , Yu-Xuan Zhang

It is often thought that the existence of other worlds cannot be scientifically verified and therefore should be treated as philosophical speculation. In this article, I describe several methods for determining if other worlds exist, even…

物理学史与哲学 · 物理学 2014-09-29 Austin Gerig

The firewall paradox, a puzzle in black hole physics, depends on an implicit assumption: a rule that allows the infalling and the outside observer to combine their perspectives. However, a recent extension of the Wigner's friend paradox…

量子物理 · 物理学 2025-04-08 Ladina Hausmann , Renato Renner

We demonstrate that wormholes must be entangled regardless of asymptotic boundary conditions. Assuming black hole complementarity, we argue that traversable wormholes instantiate entanglement-assisted quantum channels and that this…

高能物理 - 理论 · 物理学 2025-12-11 Ning Bao , Grant N. Remmen

We propose wormholes solutions by assuming space dependent equation of state parameter. Our models show that the existence of wormholes is supported by arbitrary small quantities of averaged null energy condition (ANEC) violating phantom…

广义相对论与量子宇宙学 · 物理学 2009-04-24 F. Rahaman , M. Kalam , S. Chakraborty

A set of reduced, 2-D, two-fluid, drift-MHD equations is derived. Using these equations, a complete and fully self-consistent solution is obtained for an isolated magnetic island propagating through a slab plasma with uniform but different…

等离子体物理 · 物理学 2016-09-08 Richard Fitzpatrick , Francois L. Waelbroeck

It was argued in literature that traversable wormholes can exist with arbitrarily small violation of null energy conditions. We show that if the amount of exotic material near the wormhole throat tends to zero, either this leads to a horn…

广义相对论与量子宇宙学 · 物理学 2008-11-26 O. B. Zaslavskii

Proof that black holes exist will likely require confirmation of the existence of event horizons. The common assumption that the mere existence of large compact masses proves the case for black holes is an unwarranted extrapolation of…

天体物理学 · 物理学 2007-05-23 Stanley L. Robertson

There are a number of experiments and observations that appear to argue for the existence of particles, including the photoelectric and Compton effects, exposure of only one film grain by a spread-out photon wave function, and particle-like…

量子物理 · 物理学 2011-04-12 Casey Blood

Black holes represent extreme conditions of physical laws. Being predicted about a century ago, they are now accepted as astrophysical reality by most of the scientific community. Only recently more direct evidence of their existence has…

高能天体物理现象 · 物理学 2019-07-31 Christian Fendt

We study the energetics of island formation in Stranski-Krastanow growth within a parameter-free approach. It is shown that an optimum island size exists for a given coverage and island density if changes in the wetting layer morphology…

材料科学 · 物理学 2009-10-31 L. G. Wang , P. Kratzer , M. Scheffler , N. Moll

An extension of Penrose's singularity theorem is proved for spacetimes where black holes are allowed to form from non-singular initial data. With standard assumptions about the spacetime, and assuming the existence of a trapped surface…

广义相对论与量子宇宙学 · 物理学 2014-03-26 Alexander Vilenkin , Aron C. Wall