recognition /
Modal /
Modal.ModalGeometry /
explainer
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formal statement (Lean)
164 theorem modal_nyquist (c1 c2 : Config)
165 (h_val : c1.value = c2.value)
166 (h_time : c1.time = c2.time) :
167 modally_equivalent c1 c2 := by
proof body
Term-mode proof.
168 simp [modally_equivalent, h_val, h_time]
169
170 /-! ## Possibility Interference -/
171
172 /-- **INTERFERENCE AMPLITUDE**: The overlap between two possibility paths.
173
174 When two paths have similar cost, they can "interfere."
175 I(γ₁, γ₂) = √(W[γ₁] · W[γ₂]) · cos(Δφ)
176
177 where Δφ is the phase difference. -/
depends on (19)
Lean names referenced from this declaration's body.
phase
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cost
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cost
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is
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is
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is
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Config
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W
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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modally_equivalent
in IndisputableMonolith.Modal.ModalGeometry
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Config
in IndisputableMonolith.Modal.Possibility
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Possibility
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phase
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W
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W
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c1
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two
in IndisputableMonolith.QFT.SpinStatistics
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value
in IndisputableMonolith.QFT.SpinStatistics
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overlap
in IndisputableMonolith.YM.Dobrushin
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