Skip to content
RichseenAtlasAtlasSign in

Page states what unitarity requires of the radiation

node

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.

A node is not a place. Drawing it on a map would assert something about the world that no stored fact supports.

Read in · 1

Evidence · 1
Timeline

No dated observations are stored for this object. Atlas shows what was observed and when — it does not infer a history.

Connections · 2
Assembled narrative · 1

Assembled from 24 blocks · 1 evidence · 16 related

  1. Story
  2. 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.
  3. Knowledge
  4. Black hole entropy
  5. The black hole information paradox
  6. Page states what unitarity requires of the radiation
  7. Connections
  8. The black hole information paradox
  9. Black hole entropy
  10. Hawking radiation
  11. The no-hair result
  12. Hawking argues that information is destroyed
  13. Page states what unitarity requires of the radiation
  14. Hawking concedes the information bet
  15. The Page curve is reproduced from within semiclassical gravity
  16. The event horizon
  17. Jacob Bekenstein
  18. Hawking radiation
  19. Bekenstein assigns entropy to a black hole
  20. Hawking shows that black holes radiate
  21. Page states what unitarity requires of the radiation
  22. The Page curve is reproduced from within semiclassical gravity
  23. Evidence
  24. States the entanglement-entropy behaviour that unitary evaporation requires, now known as the Page curve. V55 VERIFICATION BASIS: not consulted in session; no research tool was available. Volume and page are from recall and must be checked. The 2019-2020 island and replica-wormhole papers that reproduce this curve are deliberately NOT cited anywhere in this pack, because their authors and venues could not be confirmed.
Close the narrative
Observed changes · 0

No public Signals are attached to this object. Signals show what changed and when it was observed — never a direction or a rank.

Actions

Read the assembled narrativeContinue in StudioOpen TwinTwin does not start a decision from this kind of object.ShareSaveSaved objects are part of the authenticated projection, which is declared and not yet built.

/atlas?object=EVT_PAGE_CURVE_1993&experience=EVT_PAGE_CURVE_1993