The Gwei Between

Information door · 10 min read · published

The Black-Hole Ledger

Black holes turn information into a test of whether quantum theory and gravity can keep their promises at the edge of an event horizon.

Thesis

The black-hole information problem is a conflict between quantum reversibility and a semiclassical calculation that appears to produce featureless radiation. Entropy formulas and modern calculations provide powerful clues, but a complete experimentally confirmed account of recovery remains an open problem.

A ledger at the horizon

Supporting/contextual references: [blackhole-bekenstein-1973] [blackhole-harlow-2016]

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Bekenstein and the area law

Supporting/contextual references: [blackhole-bekenstein-1973] [blackhole-maldacena-1998]

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Hawking radiation changes the stakes

Supporting/contextual references: [blackhole-hawking-1975] [blackhole-hawking-1976] [blackhole-page-1993]

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What “lost” could mean

Supporting/contextual references: [blackhole-hawking-1976] [blackhole-page-1993] [blackhole-harlow-2016]

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Holography and the modern ledger

Supporting/contextual references: [blackhole-maldacena-1998] [blackhole-almheiri-2019] [blackhole-harlow-2016]

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Open research directions

Supporting/contextual references: [blackhole-almheiri-2019] [blackhole-harlow-2016] [blackhole-page-1993]

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A ledger, not an oracle

Supporting/contextual references: [blackhole-page-1993] [blackhole-almheiri-2019] [blackhole-harlow-2016]

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The practical boundary

Supporting/contextual references: [blackhole-bekenstein-1973] [blackhole-maldacena-1998] [blackhole-almheiri-2019]

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Sources & references

Supporting/contextual references, not claim-level proof.

  1. Jacob D. Bekenstein — Black Holes and EntropyPhysical Review D 7(8), 2333–2346, 1973.Publisher link
  2. Stephen W. Hawking — Particle Creation by Black HolesCommunications in Mathematical Physics 43(3), 199–220, 1975.Publisher link
  3. Stephen W. Hawking — Breakdown of Predictability in Gravitational CollapsePhysical Review D 14(10), 2460–2473, 1976.Publisher link
  4. Don N. Page — Information in Black Hole RadiationPhysical Review Letters 71(23), 3743–3746, 1993.Publisher link
  5. Juan Maldacena — The Large N Limit of Superconformal Field Theories and SupergravityAdvances in Theoretical and Mathematical Physics 2(2), 231–252, 1998.Publisher link
  6. Ahmed Almheiri, Netta Engelhardt, Donald Marolf, and Henry Maxfield — The Entropy of Bulk Quantum Fields and the Entanglement Wedge of an Evaporating Black HoleJournal of High Energy Physics 2019(12), article 063, 2019.Publisher link
  7. Daniel Harlow — Jerusalem Lectures on Black Holes and Quantum InformationReviews of Modern Physics 88(1), article 015002, 2016.Publisher link

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