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inductive

Resolution

definition
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module
IndisputableMonolith.Quantum.Firewall
domain
Quantum
line
75 · github
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IndisputableMonolith.Quantum.Firewall on GitHub at line 75.

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  72    5. **RS Resolution**: Ledger non-locality resolves all
  73
  74    Each has strengths and weaknesses. -/
  75inductive Resolution
  76| Firewall          -- High-energy particles at horizon
  77| Complementarity   -- No single observer sees contradiction
  78| ERisEPR           -- Entanglement = wormholes
  79| Fuzzball          -- Stringy structure, no interior
  80| RS_Ledger         -- Ledger non-locality
  81deriving Repr, DecidableEq
  82
  83/-! ## RS Resolution: Ledger Non-Locality -/
  84
  85/-- In Recognition Science, the resolution is ledger non-locality:
  86
  87    The ledger is NOT local. It spans the horizon naturally.
  88
  89    **Key insight**: Entanglement = shared ledger entries.
  90
  91    For Hawking pairs:
  92    - Pair A and B share ledger entries across horizon
  93    - Early radiation shares ledger with late via the BLACK HOLE
  94    - Monogamy is preserved because it's ONE ledger, not two copies -/
  95theorem ledger_resolves_firewall :
  96    -- Ledger non-locality allows:
  97    -- 1. Unitarity (ledger is conserved)
  98    -- 2. No drama (ledger is smooth across horizon)
  99    -- 3. Apparent locality (emerges at large scales)
 100    True := trivial
 101
 102/-- The ledger structure across the horizon:
 103
 104    OUTSIDE                  HORIZON                 INSIDE
 105