The results suggest that while the bound is relevant at the classical level, it does not introduce new physical constraints semiclassically.doi:10.1088/0264-9381/25/20/205021CasiniHiopClassical & Quantum GravityH. Casini, Relative entropy and the Bekenstein bound, Class. Quant. Grav. 25 (2008)...
Relative entropy has nice positivity and monotonicity properties. It has also played an important role in formulating a precise version of the Bekenstein bound [3] and arguments for the second law of black hole thermodynamics [4, 5]. In some cases the modular hamiltonian has a simple local ...
Here we find a unitary rotation in order to make use of the full PSL$(2,\\mathbb{R})$ symmetries and obtain the modular group, modular Hamiltonian and the relative entropy $S$ of a bounded interval at finite temperature. Such relative entropy entails both a Bekenstein-like bound and a ...