Volume 69, Number 1, January 2005
|Page(s)||36 - 40|
|Section||The physics of elementary particles and fields|
|Published online||03 December 2004|
Holographic entropy bound from gravitational Fock space truncation
Department of Physics and Astronomy, University of Basel - 4056 Basel, Switzerland
Accepted: 3 November 2004
A simplified derivation of Yurtsever's result, which states that the entropy of a truncated bosonic Fock space is given by a holographic bound when the energy of the Fock states is constrained gravitationally, is given for asymptotically flat spacetimes with arbitrary dimension . For this purpose, a scalar field confined to a spherical volume in d-dimensional spacetime is considered. Imposing an upper bound on the total energy of the corresponding Fock states which ensures that the system is in a stable configuration against gravitational collapse and imposing a cutoff on the maximum energy of the field modes of the order of the Planck energy leads to an entropy bound of holographic type. A simple derivation of the entropy bound is also given for the fermionic case.
PACS: 11.10.Kk – Field theories in dimensions other than four / 04.50.+h – Gravity in more than four dimensions, Kaluza-Klein theory, unified field theories; alternative theories of gravity / 03.67.-a – Quantum information
© EDP Sciences, 2005
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