theorem
proved
term proof
singularity_resolved
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formal statement (Lean)
195theorem singularity_resolved :
196 -- Voxel cutoff prevents true singularity
197 -- Maximum density ~ Planck density
198 -- Ledger continuous through core
199 True := trivial
proof body
Term-mode proof.
200
201/-! ## Experimental Signatures? -/
202
203/-- Can we test the firewall resolution?
204
205 Direct tests are impossible (can't probe horizons).
206
207 Indirect tests:
208 1. **Hawking spectrum**: Deviations from thermal?
209 2. **Gravitational wave echoes**: Repeated signals from horizon?
210 3. **Analog systems**: Simulate in lab?
211
212 RS prediction: No echoes (smooth horizon). -/