# Kolmogorov-Sinai and Bekenstein-Hawking entropies

Source: [Kolmogorov-Sinai and Bekenstein-Hawking entropies](<https://www.sota2.com/research/paper/68fa2ae61e209131ce841820>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:53:11.576Z

Authors: K. Ropotenko

Published: 2007-11-20T13:07:10.000Z

## Abstract

It is shown that instability of stringy matter near the event horizon of a black hole (the spreading effect) can be characterized by the Lyapunov exponents. The Kolmogorov-Sinai entropy is the sum of all the positive Lyapunov exponents and equals to the inverse gravitational radius. Due to a replacement of the configuration space of a string by its phase space at distance of order of the string scale, the relation between the Kolmogorov-Sinai and Bekenstein-Hawking entropies is established. The KS entropy of a black hole measures the rate at which information about the state of a string collapsing into the black hole is lost with time as it spreads over the horizon.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0711.3131>)

[PDF](<https://arxiv.org/pdf/0711.3131.pdf>)