pith:6ZBEGU4F
Entanglement Wedge Reconstruction and the Information Paradox
The quantum Ryu-Takayanagi surface for an evaporating black hole jumps inside the event horizon at the Page time.
arxiv:1905.08255 v3 · 2019-05-20 · hep-th · gr-qc · quant-ph
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When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface lies slightly inside the event horizon, at an infalling time approximately the scrambling time β/2π log S_BH into the past.
The quantum Ryu-Takayanagi formula continues to compute the correct entanglement entropy even after the surface jumps inside the horizon and the bulk is no longer in a simple semiclassical state; this assumption is invoked to equate the new surface location directly with the decreasing Page curve entropy.
A phase transition in the quantum RT surface at the Page time derives the Page curve and enables entanglement wedge reconstruction of the black hole interior from Hawking radiation.
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| First computed | 2026-07-05T01:31:21.196909Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
f6424353853429a79d2a48a10c48e465d0960e787096a68a42f637f47772a472
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Canonical record JSON
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