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Page states what unitarity requires of the radiation

Don Page pointed out that if evaporation is unitary, the entanglement entropy of the emitted radiation must rise while the hole is large, turn over at roughly the halfway point, and return to zero when the hole is gone. Hawking's calculation produces a curve that only rises. The Page curve turned a philosophical disagreement into a quantitative target: any proposed resolution has to reproduce a specific shape, and for twenty-six years none did from within gravity itself.

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Recorded on The black hole information paradox

  1. Bekenstein assigns entropy to a black hole
  2. Hawking shows that black holes radiate
  3. Hawking argues that information is destroyed
  4. Page states what unitarity requires of the radiation
  5. Hawking concedes the information bet
  6. The Page curve is reproduced from within semiclassical gravity

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