Holographic discreteness of inflationary perturbations
Abstract
The holographic entropy bound is used to estimate the quantumgravitational discreteness of inflationary perturbations. In the context of scalar inflaton perturbations produced during standard slowroll inflation, but assuming that horizonscale perturbations ``freeze out'' in discrete steps separated by one bit of total observable entropy, it is shown that the Hilbert space of a typical horizonscale inflaton perturbation is equivalent to that of about 10^{5} binary spinsapproximately the inverse of the final scalar metric perturbation amplitude, independent of other parameters. Holography thus suggests that in a broad class of fundamental theories, inflationary perturbations carry a limited amount of information (about 10^{5} bits per mode) and should therefore display discreteness not predicted by the standard field theory. Some manifestations of this discreteness may be observable in cosmic background anisotropy.
 Publication:

Physical Review D
 Pub Date:
 July 2002
 DOI:
 10.1103/PhysRevD.66.023521
 arXiv:
 arXiv:astroph/0201020
 Bibcode:
 2002PhRvD..66b3521H
 Keywords:

 98.80.Cq;
 98.70.Vc;
 Particletheory and fieldtheory models of the early Universe;
 Background radiations;
 Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 13 pages, Latex, 4 figures, to appear in Phys. Rev. D. New figures and references added