2020/03/29 by Herman Verlinde, Verlinde, Herman · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2003.13117
openalex publication_date 2020/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a new link between entropy and area: an eternal black hole with an ER bridge with cross-section A can carry a macroscopic amount of quantum information, or be in a mixed state, with entropy bounded by S ≤ A/4GN. We substantiate our proposal in the context of AdS3 and JT gravity, by using the Island prescription and replica wormhole method for computing the black hole entropy. We argue that the typical mixed state of a two sided black hole takes the form of an entangled `thermo-mixed double' state with only classical correlations between the two sides. Our result for the von Neumann entropy of a post-Page time two-sided black hole is smaller by a factor of two from previous answers. Our reasoning implies that black hole quantum information is topologically protected, similar to the information stored inside a topological quantum memory.