  77  min_matches : ℕ := 3
  78
  79/-- Check if a measured frequency matches any φ^n prediction -/
  80noncomputable def matchesPhiPeak (f : ℝ) (tolerance : ℝ) : Bool :=
  81  (|f - φ^(-2 : ℤ)| < tolerance) ||
  82  (|f - φ^(-1 : ℤ)| < tolerance) ||
  83  (|f - 1| < tolerance) ||
  84  (|f - φ| < tolerance) ||
  85  (|f - φ^(2 : ℤ)| < tolerance) ||
  86  (|f - φ^(3 : ℤ)| < tolerance)
  87
  88/-- The EEG prediction is falsified if too few peaks match -/
  89def isEEGFalsified (data : EEGFalsification) : Prop :=
  90  (data.measured_peaks.filter (matchesPhiPeak · data.tolerance)).length < data.min_matches
  91
  92/-! ## Mode Ratio Predictions -/
  93
  94/-- Consciousness state classification -/
  95inductive ConsciousnessState
  96  | baseline
  97  | flow
  98  | analytical
  99  | meditation
 100  | sleep
 101  deriving DecidableEq, Repr
 102
 103/-- M2/M4 ratio measurement protocol -/
 104structure ModeRatioProtocol where
 105  /-- States to measure -/
 106  states : List ConsciousnessState := [.baseline, .flow, .analytical, .meditation]
 107  /-- Number of trials per state -/
 108  trials_per_state : ℕ := 20
 109  /-- Measurement modality -/
 110  modality : String := "EEG_coherence"

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.