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Bousso's entropy bound is a conjecture that the entropy through a null hypersurface emanating from a two-dimensional surface with a nonpositive expansion is bounded by the area of that two-dimensional surface. We investigate the validity of…

广义相对论与量子宇宙学 · 物理学 2023-03-31 Takamasa Kanai , Kimihiro Nomura , Daisuke Yoshida

Entanglement entropies calculated in the framework of quantum field theory on classical, flat or curved, spacetimes are known to show an intriguing area law in four dimensions, but they are also notorious for their quadratic ultraviolet…

广义相对论与量子宇宙学 · 物理学 2018-08-01 Carlo Pagani , Martin Reuter

We develop a formalism for calculating the entanglement entropy of an arbitrary spatial region of a gravitating spacetime at a moment of time symmetry. The crucial ingredient is a path integral over embeddings of the region into the overall…

高能物理 - 理论 · 物理学 2024-01-12 Vijay Balasubramanian , Charlie Cummings

I show that the principle of equipartition, applied to area elements of a surface which are in equilibrium at the local Davies-Unruh temperature, allows one to determine the surface number density of the microscopic spacetime degrees of…

广义相对论与量子宇宙学 · 物理学 2014-11-20 T. Padmanabhan

We introduce the term smooth entanglement entropy transfer, a phenomenon that is a consequence of the causality-cancellation property of the quantum gravity environment. The causality-cancellation of the quantum gravity space removes the…

量子物理 · 物理学 2014-03-27 Laszlo Gyongyosi

There are several indications (from different approaches) that Spacetime at the Plank Scale could be discrete. One approach to Quantum Gravity that takes this most seriously is the Causal Sets Approach. In this approach spacetime is…

广义相对论与量子宇宙学 · 物理学 2009-11-05 David Rideout , Petros Wallden

The maximum entropy of a quantized surface is demonstrated to be proportional to the surface area in the classical limit. The result is valid in loop quantum gravity, and in a somewhat more general class of approaches to surface…

广义相对论与量子宇宙学 · 物理学 2008-11-26 I. B. Khriplovich , R. V. Korkin

It has been argued that the entropy which one is computing in the isolated horizon framework of loop quantum gravity is closely related to the entanglement entropy of the gravitational field and that the calculation performed is not…

广义相对论与量子宇宙学 · 物理学 2014-11-25 Norbert Bodendorfer

A new entropy bound, tighter than the standard holographic bound due to Bekenstein, is derived for spacetimes with non-rotating isolated horizons, from the quantum geometry approach in which the horizon is described by the boundary degrees…

高能物理 - 理论 · 物理学 2009-10-31 Saurya Das , Romesh K Kaul , Parthasarathi Majumdar

Entanglement entropy quantifies the amount of uncertainty of a quantum state. For quantum fields in curved space, entanglement entropy of the quantum field theory degrees of freedom is well-defined for a fixed background geometry. In this…

高能物理 - 理论 · 物理学 2020-10-28 Xi Dong , Xiao-Liang Qi , Zhou Shangnan , Zhenbin Yang

Black hole thermodynamics suggests that the maximum entropy that can be contained in a region of space is proportional to the area enclosing it rather than its volume. I argue that this follows naturally from loop quantum gravity and a…

广义相对论与量子宇宙学 · 物理学 2009-11-11 John Swain

The vacuum of quantum fields contains correlated fluctuations. When restricted to one side of a surface these have a huge entropy of entanglement that scales with the surface area. If UV physics renders this entropy finite, then a…

广义相对论与量子宇宙学 · 物理学 2012-11-13 Ted Jacobson

It is shown - in Ashtekar's canonical framework of General Relativity - that spherically symmetric (Schwarzschild) gravity in 4 dimensional space-time constitutes a finite dimensional completely integrable system. Canonically conjugate…

广义相对论与量子宇宙学 · 物理学 2010-11-01 H. A. Kastrup , T. Thiemann

Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on…

高能物理 - 理论 · 物理学 2011-02-09 Mark P. Hertzberg , Frank Wilczek

We present a bouquet of continuity bounds for quantum entropies, falling broadly into two classes: First, a tight analysis of the Alicki-Fannes continuity bounds for the conditional von Neumann entropy, reaching almost the best possible…

量子物理 · 物理学 2016-09-06 Andreas Winter

Black holes monopolize nowadays the center stage of fundamental physics. Yet, they are poorly understood objects. Notwithstanding, from their generic properties, one can infer important clues to what a fundamental theory, a theory that…

广义相对论与量子宇宙学 · 物理学 2008-04-05 José P. S. Lemos

Any discrete approach to quantum gravity must provide some prescription as to how to deduce continuum properties from the discrete substructure. In the causal set approach it is straightforward to deduce timelike distances, but surprisingly…

广义相对论与量子宇宙学 · 物理学 2009-07-22 David Rideout , Petros Wallden

Although we have convincing evidence that a black hole bears an entropy proportional to its surface (horizon) area, the ``statistical mechanical'' explanation of this entropy remains unknown. Two basic questions in this connection are: what…

广义相对论与量子宇宙学 · 物理学 2008-02-03 Rafael D. Sorkin

We consider some formulations of the entropy bounds at the semiclassical level. The entropy S(V) localized in a region V is divergent in quantum field theory (QFT). Instead of it we focus on the mutual information I(V,W)=S(V)+S(W)-S(V\cup…

广义相对论与量子宇宙学 · 物理学 2008-11-26 H. Casini

In this note, we attempt to provide some insights into the structure of non-perturbative descriptions of quantum gravity using known examples of gauge-theory / gravity duality. We argue that in familiar examples, a quantum description of…

高能物理 - 理论 · 物理学 2010-03-24 Mark Van Raamsdonk