What is the maximum rate at which entropy of a string can increase?
Abstract
According to Susskind, a string falling toward a black hole spreads exponentially over the stretched horizon due to repulsive interactions of the string bits. In this paper such a string is modeled as a self-avoiding walk and the string entropy is found. It is shown that the rate at which information/entropy contained in the string spreads is the maximum rate allowed by quantum theory. The maximum rate at which the black hole entropy can increase when a string falls into a black hole is also discussed.
Keywords
Cite
@article{arxiv.0809.5236,
title = {What is the maximum rate at which entropy of a string can increase?},
author = {K. Ropotenko},
journal= {arXiv preprint arXiv:0809.5236},
year = {2009}
}
Comments
11 pages, no figures; formulas (18), (20) are corrected (the quantum constant is added), a point concerning a relation between the Hawking and Hagedorn temperatures is corrected, conclusions unchanged; accepted by Physical Review D for publication