We study the time evolution of entanglement entropy in expanding universes with various matters. To describe holographically, we take into account a braneworld moving an asymptotic AdS space involving uniform $p$-brane gas. In model, observer living detects bulk motion as universe. show that increases by volume law early and area late time. further consider cosmological horizon, which is border...

In this paper we describe the topological behavior of geodesic flow for a class closed 3-manifolds realized as quotients nonstrictly convex Hilbert geometries, constructed and described explicitly by Benoist. These manifolds are Finsler geometries which have isometrically embedded flats, but also some hyperbolicity an explicit geometric structure. We prove quotient is topologically mixing satis...

The thermodynamic functions such as enthalpy (H), Gibbs free energy (G) and entropy (S) of Serineand Threonine amino acids were theoretically studied at different condition (solvents andtemperatures) by using Gussian o3, software. First, the structural optimization of isolated Serine andThreonine were done in the gas phase by using the Hartree-Fock (HF) level of theory with 3-21G, 6-31G and 6-3...

Black Hole Entropy” O. B. Zaslavskii Department of Physics, Kharkov State University, Svobody Sq.4, Kharkov 310077, Ukraine E-mail: [email protected] A. Ghosh and P. Mitra made the proposal how to explain the area law for the entropy of extreme black holes in some model calculations. I argue that their approach implicitly operates with strongly singular geometries and says nothing about t...

We find asymptotically flat black hole and string solutions to 5D supergravity in the presence of higher derivative terms. In some cases, including the fundamental heterotic string solution, the higher derivative terms smooth out naked singularities into regular geometries carrying zero entropy. We also compute corrections to the entropy of 5D CalabiYau black holes, and discuss the relation to ...

Black holes whose near–horizon geometries are locally, but not necessarily globally, AdS3 (three–dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS3 is a conformal field theory, we microscopically compute the black hole entropy from the asymptotic growth of states. Precise numerical agreement with the Bekenstein-Hawking area formula for the entropy is f...

In this paper we compute the holographic entanglement entropy for massive flavors in the D3-D7 system, for arbitrary mass and various entangling region geometries. We show that the universal terms in the entanglement entropy exactly match those computed in the dual theory using conformal perturbation theory. We derive holographically the universal terms in the entanglement entropy for a CFT per...

The main object of this tutorial article is first to review the main inference tools using Bayesian approach, Entropy, Information theory and their corresponding geometries. This review is focused mainly on the ways these tools have been used in data, signal and image processing. After a short introduction of the different quantities related to the Bayes rule, the entropy and the Maximum Entrop...

We compute black hole entropies and the “horizon” sizes from the fuzzball conjecture in the LLM bubbling geometries, based on coarse-graining on the gravity side. The differences of black hole microstates cannot be seen by classical observations. Conversely, by counting the possible deformations of the geometry which are not classically detectable, we can calculate the entropy. We carry out thi...