What is the maximum rate at which entropy of a string can increase?

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, no figures; formulas (18), (20) are corrected (the quantum constant is added), a point concerning a relation between

Scientific paper

10.1103/PhysRevD.79.064003

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.

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