Europhys. Lett.
Volume 69, Number 1, January 2005
Page(s) 36 - 40
Section The physics of elementary particles and fields
Published online 03 December 2004
Europhys. Lett., 69 (1), pp. 36-40 (2005)
DOI: 10.1209/epl/i2004-10317-0

Holographic entropy bound from gravitational Fock space truncation

A. Aste

Department of Physics and Astronomy, University of Basel - 4056 Basel, Switzerland

received 6 September 2004; accepted 3 November 2004
published online 3 December 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 $d\geq 4$. 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.

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.

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