IndisputableMonolith.Experiments.Protocols

   1import IndisputableMonolith.Foundation.PhiEmergence
   2import IndisputableMonolith.Constants
   3import Mathlib
   4
   5/-!
   6# Experimental Protocols — Testable Predictions from Voxel Theory
   7
   8This module formalizes the experimental predictions derived from the voxel/meaning
   9framework, with precise protocols, statistical criteria, and falsification conditions.
  10
  11## Core Predictions
  12
  131. **EEG φ-frequencies**: Peaks at φ^n Hz during meditation
  142. **Mode ratios**: M2/M4 classifies consciousness states
  153. **Healing mechanism**: Coherence transfer via Θ-coupling
  164. **Water structure**: Altered coherence domains near intention
  175. **Falsification**: What would disprove the theory
  18
  19## Claim Hygiene
  20
  21All predictions are **HYPOTHESES** with explicit falsification criteria.
  22These are not proven — they are testable claims derived from the theory.
  23-/
  24
  25namespace IndisputableMonolith
  26namespace Experiments
  27
  28/-! ## Golden Ratio for Predictions -/
  29
  30/-- The golden ratio for predictions (from canonical Constants source). -/
  31noncomputable def φ : ℝ := Constants.phi
  32
  33/-! ## EEG Frequency Predictions -/
  34
  35/-- A complete EEG experimental protocol -/
  36structure EEGProtocol where
  37  /-- Sample size for each group -/
  38  n_subjects : ℕ := 30
  39  /-- Recording duration in seconds -/
  40  duration_sec : ℕ := 600  -- 10 minutes
  41  /-- Sampling rate in Hz -/
  42  sampling_rate : ℕ := 256
  43  /-- Frequency resolution in Hz -/
  44  freq_resolution : ℝ := 0.1
  45  /-- Electrode positions (10-20 system) -/
  46  electrodes : List String := ["Fz", "Cz", "Pz", "O1", "O2"]
  47
  48/-- Predicted EEG peaks with confidence intervals -/
  49structure EEGPrediction where
  50  /-- The mode index n in φ^n -/
  51  mode_index : ℤ
  52  /-- Central frequency (φ^n Hz) -/
  53  center_freq : ℝ
  54  /-- Expected peak width (Hz) -/
  55  bandwidth : ℝ := 0.2
  56  /-- Minimum peak amplitude (μV²/Hz) -/
  57  min_amplitude : ℝ
  58  /-- Confidence level for detection -/
  59  confidence : ℝ := 0.95
  60
  61/-- The set of predicted EEG frequencies -/
  62noncomputable def eegPredictions : List EEGPrediction :=
  63  [⟨-2, φ^(-2 : ℤ), 0.2, 0.5, 0.95⟩,   -- ~0.38 Hz (infra-slow)
  64   ⟨-1, φ^(-1 : ℤ), 0.2, 0.5, 0.95⟩,   -- ~0.62 Hz (delta-low)
  65   ⟨0, 1, 0.2, 1.0, 0.95⟩,              -- 1.00 Hz (delta-high)
  66   ⟨1, φ, 0.2, 1.0, 0.95⟩,              -- ~1.62 Hz (delta-theta)
  67   ⟨2, φ^(2 : ℤ), 0.2, 0.8, 0.95⟩,     -- ~2.62 Hz (theta-low)
  68   ⟨3, φ^(3 : ℤ), 0.2, 0.5, 0.95⟩]     -- ~4.24 Hz (theta)
  69
  70/-- FALSIFICATION: The EEG prediction is falsified if no φ-peaks found -/
  71structure EEGFalsification where
  72  /-- Measured peak frequencies -/
  73  measured_peaks : List ℝ
  74  /-- Tolerance for matching (Hz) -/
  75  tolerance : ℝ := 0.2
  76  /-- Minimum number of φ-matches required -/
  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"
 111
 112/-- Predictions for mode ratios by state -/
 113structure ModeRatioPrediction where
 114  state : ConsciousnessState
 115  /-- Expected M2/M4 ratio range (low bound) -/
 116  ratio_low : ℝ
 117  /-- Expected M2/M4 ratio range (high bound) -/
 118  ratio_high : ℝ
 119  /-- Prediction confidence -/
 120  confidence : ℝ := 0.95
 121
 122/-- The predicted mode ratios for each state -/
 123def modeRatioPredictions : List ModeRatioPrediction :=
 124  [⟨.flow, 1.5, 3.0, 0.95⟩,        -- High M2/M4 in flow
 125   ⟨.analytical, 0.3, 0.8, 0.95⟩,  -- Low M2/M4 in analytical
 126   ⟨.meditation, 0.9, 1.1, 0.95⟩,  -- Balanced in meditation
 127   ⟨.baseline, 0.8, 1.2, 0.90⟩]    -- Variable at baseline
 128
 129/-- Check if measured ratio falls in predicted range -/
 130noncomputable def ratioInRange (pred : ModeRatioPrediction) (measured : ℝ) : Bool :=
 131  pred.ratio_low ≤ measured && measured ≤ pred.ratio_high
 132
 133/-! ## Healing Study Predictions -/
 134
 135/-- Distance-independent healing study protocol -/
 136structure HealingProtocol where
 137  /-- Number of healer-patient pairs -/
 138  n_pairs : ℕ := 50
 139  /-- Distances to test (meters) -/
 140  distances : List ℝ := [1, 10, 100, 1000, 10000]
 141  /-- Blinding: healer knows when sending, patient does not -/
 142  double_blind_patient : Bool := true
 143  /-- Outcome measures -/
 144  outcomes : List String := ["subjective_wellbeing", "HRV_coherence", "EEG_phase_locking"]
 145
 146/-- Healing coherence transfer prediction -/
 147structure HealingPrediction where
 148  /-- Predicted increase in patient coherence (effect size d) -/
 149  effect_size : ℝ := 0.5
 150  /-- Effect should NOT decay with distance -/
 151  distance_independent : Bool := true
 152  /-- Minimum phase locking value (PLV) increase -/
 153  min_plv_increase : ℝ := 0.1
 154
 155/-- Data from a single healing trial -/
 156structure HealingTrialData where
 157  distance : ℝ
 158  effect_size : ℝ
 159  plv_change : ℝ
 160
 161/-- The healing prediction is falsified if effect decays significantly with distance -/
 162def isHealingFalsified (trials : List HealingTrialData) : Prop :=
 163  -- If correlation(distance, effect_size) < -0.5, the prediction is falsified
 164  -- This means: larger distance → smaller effect (decay)
 165  True  -- Placeholder for actual correlation computation
 166
 167/-! ## Water Structure Predictions -/
 168
 169/-- Water coherence domain measurement protocol -/
 170structure WaterProtocol where
 171  /-- Measurement technique -/
 172  technique : String := "ultrafast_IR_spectroscopy"
 173  /-- Time resolution (femtoseconds) -/
 174  time_resolution : ℝ := 100
 175  /-- Conditions to compare -/
 176  conditions : List String := ["control", "near_meditator", "intention_target"]
 177
 178/-- Water structure predictions -/
 179structure WaterPrediction where
 180  /-- Expected τ_gate in picoseconds -/
 181  tau_gate_ps : ℝ := 65
 182  /-- Expected change near intention (%) -/
 183  tau_change_percent : ℝ := 5
 184  /-- Expected coherence domain size (nm) -/
 185  domain_size_nm : ℝ := 10
 186  /-- Expected size change (%) -/
 187  size_change_percent : ℝ := 10
 188
 189/-- Data from water structure measurement -/
 190structure WaterMeasurement where
 191  condition : String
 192  tau_gate : ℝ
 193  domain_size : ℝ
 194
 195/-- The water prediction is falsified if τ_gate is far from 65 ps OR no change near intention -/
 196def isWaterFalsified (baseline : WaterMeasurement) (intention : WaterMeasurement) : Prop :=
 197  -- Falsified if: τ_gate outside (60, 70) ps OR no change
 198  |baseline.tau_gate - 65| > 10 ∨
 199  |intention.tau_gate - baseline.tau_gate| < 1  -- Less than 1 ps change
 200
 201/-! ## Unified Falsification Framework -/
 202
 203/-- Master falsification structure tracking all predictions -/
 204structure TheoryFalsificationStatus where
 205  /-- EEG φ-peaks not found -/
 206  eeg_falsified : Bool := false
 207  /-- Mode ratios don't predict states -/
 208  mode_ratio_falsified : Bool := false
 209  /-- Healing decays with distance -/
 210  healing_falsified : Bool := false
 211  /-- Water structure unchanged or wrong τ_gate -/
 212  water_falsified : Bool := false
 213  /-- φ doesn't emerge from J-cost (theoretical) -/
 214  phi_emergence_falsified : Bool := false
 215
 216/-- Theory is falsified if ANY core prediction fails -/
 217def theoryFalsified (status : TheoryFalsificationStatus) : Prop :=
 218  status.eeg_falsified ∨
 219  status.mode_ratio_falsified ∨
 220  status.healing_falsified ∨
 221  status.water_falsified ∨
 222  status.phi_emergence_falsified
 223
 224/-- Theory is partially confirmed if ALL predictions pass -/
 225def theoryConfirmed (status : TheoryFalsificationStatus) : Prop :=
 226  ¬status.eeg_falsified ∧
 227  ¬status.mode_ratio_falsified ∧
 228  ¬status.healing_falsified ∧
 229  ¬status.water_falsified ∧
 230  ¬status.phi_emergence_falsified
 231
 232/-! ## Summary -/
 233
 234#check EEGProtocol
 235#check EEGPrediction
 236#check eegPredictions
 237#check ModeRatioPrediction
 238#check HealingProtocol
 239#check WaterPrediction
 240#check TheoryFalsificationStatus
 241#check theoryFalsified
 242
 243end Experiments
 244end IndisputableMonolith
 245