Counting states for the entropy bound of infinite statistics
College of Physical Science and Technology, Hebei University - Baoding 071002, China
Accepted: 13 December 2011
We construct the Hilbert space of the quantum fields obeying infinite statistics and impose the gravitational stability condition on it in order to count only the physically permitted states. In this way, we prove that the entropy bound of infinite statistics is proportional to the boundary area A of the system, as required by the holographic principle.
PACS: 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 04.60.-m – Quantum gravity / 05.30.-d – Quantum statistical mechanics
© EPLA, 2012