2008/09/30 by K. Ropotenko, Kostyantyn Ropotenko
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Statistical physics #String (physics) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.79.064003
published as Phys.Rev.D79:064003,2009 · 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
arxiv created 2009/02/26 · openalex publication_date 2009/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.