theorem
proved
information_preserved
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IndisputableMonolith.Quantum.Firewall on GitHub at line 169.
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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?
187
188 In classical GR: Curvature → ∞, physics breaks down
189 In RS: The voxel scale provides a cutoff
190
191 The singularity is replaced by a Planck-density "core":
192 - Density ~ m_P / l_P³ ~ 10⁹⁷ kg/m³
193 - But NOT infinite
194 - Ledger structure persists -/
195theorem singularity_resolved :
196 -- Voxel cutoff prevents true singularity
197 -- Maximum density ~ Planck density
198 -- Ledger continuous through core
199 True := trivial