The Typical-State Paradox: Diagnosing Horizons with Complexity
High Energy Physics - Theory
2016-12-21 v1 General Relativity and Quantum Cosmology
Quantum Physics
Abstract
The concept of transparent and opaque horizons is defined. One example of opaqueness is the presence of a firewall. Two apparently contradictory statements are reconciled: The overwhelming number of black hole states have opaque horizons; and: All black holes formed by natural processes have transparent horizons. A diagnostic is proposed for transparency, namely that the computational complexity of the state be increasing with time. It is shown that opaque horizons are extremely unstable and that the slightest perturbation will make them transparent within a scrambling time.
Keywords
Cite
@article{arxiv.1507.02287,
title = {The Typical-State Paradox: Diagnosing Horizons with Complexity},
author = {Leonard Susskind},
journal= {arXiv preprint arXiv:1507.02287},
year = {2016}
}
Comments
18 pages, 7 figures