| Issue |
EPL
Volume 97, Number 2, January 2012
|
|
|---|---|---|
| Article Number | 20014 | |
| Number of page(s) | 4 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/97/20014 | |
| Published online | 19 January 2012 | |
Counting states for the entropy bound of infinite statistics
College of Physical Science and Technology, Hebei University - Baoding 071002, China
Received:
21
October
2011
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
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