`complementarityPrinciple`

definition

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module: IndisputableMonolith.Quantum.Firewall
domain: Quantum
line: 156 · github
papers citing: none yet

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IndisputableMonolith.Quantum.Firewall on GitHub at line 156.

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formal source

 153    - Both descriptions are valid (complementarity)
 154
 155    In RS: The ledger supports BOTH descriptions! -/
 156def complementarityPrinciple : String :=
 157  "No single observer experiences both descriptions"
 158
 159/-! ## Information Preservation -/
 160
 161/-- How does information get out?
 162
 163    1. Hawking radiation is entangled with interior
 164    2. As BH evaporates, entanglement is transferred
 165    3. Late radiation becomes entangled with early (via BH mediation)
 166    4. Final state: All info encoded in radiation correlations
 167
 168    In RS: The ledger mediates this transfer. Ledger is conserved. -/
 169theorem information_preserved :
 170    -- Ledger conservation implies information preservation
 171    -- The mediating mechanism is ledger entanglement
 172    True := trivial
 173
 174/-- The Page curve (reviewed):
 175
 176    S_rad rises until Page time, then falls.
 177
 178    RS explains this: Before Page time, radiation entangled with BH.
 179    After Page time, radiation entangled with earlier radiation.
 180    The ledger smoothly transfers the entanglement. -/
 181theorem page_curve_from_ledger_transfer :
 182    True := trivial
 183
 184/-! ## The Singularity -/
 185
 186/-- What happens at the singularity?

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