How Quantum Complexity Found Its Way into Black Hole Physics
summary
Conjecture ties the black hole interior three‑volume to quantum state complexity (volume = complexity), which grows linearly for long times and saturates at max complexity ~exp(S); for a solar‑mass hole S ~ 10^78 and scrambling time is scrambling time ~10^-3 s. Firewalls appear during rare downward complexity fluctuations at doubly‑exponential times; dropping one low‑energy photon adds one bit, doubles the maximum complexity, and—in both quantum‑circuit and GR analyses—kicks the shock into the singularity, removing the firewall. Exterior observers still face exponential complexity to recover interior information, preserving operational QECTT.
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chapters (11)
- 0:00Introduction
- 6:08Physics puzzle
- 9:46Computational complexity
- 16:39Quantum complexity insight
- 22:06Quantum complexity nature
- 26:54Black hole volume conjecture
- 32:27Complexity and evolution
- 35:42Firewalls and behavior
- 42:22Quantum Church-Turing thesis
- 50:51Quantum gravity duality
- 52:42Q&A
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