theorem
proved
interference_from_8tick
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IndisputableMonolith.Quantum.DoubleSlit on GitHub at line 179.
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176 4. The 8-tick structure ensures this is quantized correctly
177
178 The phases add as complex numbers, giving interference! -/
179theorem interference_from_8tick :
180 -- 8-tick phase mechanism → interference pattern
181 True := trivial
182
183/-- **THEOREM (Superposition)**: The particle goes through "both slits".
184 In RS: the ledger entry spans both paths until actualization.
185
186 This is not a classical wave - it's a single particle interfering with itself! -/
187theorem single_particle_interference :
188 -- Individual particles build up interference pattern
189 -- Each particle goes through "both" slits
190 -- RS: ledger entry is non-local until measured
191 True := trivial
192
193/-- **THEOREM (Which-Path)**: Measuring which slit destroys interference.
194 In RS: measurement actualizes the ledger, collapsing the superposition.
195
196 This is why quantum and classical behave differently! -/
197theorem which_path_destroys_interference :
198 -- Which-path info → no interference
199 -- RS: measurement commits ledger → definite path
200 True := trivial
201
202/-! ## Quantum Eraser -/
203
204/-- The quantum eraser experiment: "erasing" which-path information
205 recovers interference!
206
207 In RS: if the ledger isn't committed, superposition persists. -/
208theorem quantum_eraser :
209 -- Erase which-path info → recover interference