Zobrazeno 1 - 10
of 3 994
pro vyhledávání: '"ENTROPY BOUND"'
Autor:
Averin, Artem
We provide a formulation and proof of the gravitational entropy bound. We use a recently given framework which expresses the measurable quantities of a quantum theory as a weighted sum over paths in the theory's phase space. If this framework is appl
Externí odkaz:
http://arxiv.org/abs/2412.02470
Autor:
Lopez, Juan Pablo
In the present paper we prove a family of tight upper and lower bounds for the Shannon entropy and von Neumann entropy based on the p-norms. This allows us to have an entropy estimate, a criterion for the finiteness of it and a bound on the differenc
Externí odkaz:
http://arxiv.org/abs/2408.11154
Autor:
Tajima, Hiromasa, Nambu, Yasusada
We analyze the entropy behavior of the de Sitter spacetime during the inflationary phase. A cosmological horizon in de Sitter spacetime that constrains the causally accessible region of an observer exhibits thermal properties analogous to the event h
Externí odkaz:
http://arxiv.org/abs/2405.10837
Autor:
Soni, Ronak M, Wall, Aron C.
We begin an investigation of a new holographic covariant entropy bound (HCEB) in gravity. This bound arises from Cauchy slice holography, a recently proposed duality between the bulk gravity theory and a `boundary' theory that lives on Cauchy slices.
Externí odkaz:
http://arxiv.org/abs/2407.16769
The holographic entropy bound is discussed in cosmology. We try to define a special class of spatial systems in cosmology, inside which the entropy of matter satisfies the holographic entropy bound throughout the evolution of the universe. We first t
Externí odkaz:
http://arxiv.org/abs/2403.02362
Autor:
Ali, Ahmed Farag, Wojnar, Aneta
Publikováno v:
Class. Quantum Grav. 41 (2024) 105001
Motivated by the potential connection between metric-affine gravity and linear Generalized Uncertainty Principle (GUP) in the phase space, we develop a covariant form of linear GUP and an associated modified Poincar\'e algebra, which exhibits distinc
Externí odkaz:
http://arxiv.org/abs/2401.05941
Autor:
Zhu, Hu, Jiang, Jie
We explore the generalized covariant entropy bound in the theory where Einstein gravity is perturbed by quadratic curvature terms, which can be viewed as the first-order quantum correction to Einstein gravity. By replacing the Bekenstein-Hawking entr
Externí odkaz:
http://arxiv.org/abs/2311.05352
Autor:
Longo, Roberto, Morinelli, Vincenzo
Let $H$ be a local net of real Hilbert subspaces of a complex Hilbert space on the family of double cones of the spacetime $\mathbb{R}^{d+1}$, covariant with respect to a positive energy, unitary representation $U$ of the Poincar\'e group, with the B
Externí odkaz:
http://arxiv.org/abs/2401.02345
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 Bousso's
Externí odkaz:
http://arxiv.org/abs/2303.17121
Lieb and Carlen have shown that mixed states with minimal Wehrl entropy are coherent states. We prove that mixed states with almost minimal Wehrl entropy are almost coherent states. This is proved in a quantitative sense where both the norm and the e
Externí odkaz:
http://arxiv.org/abs/2307.14089