IndisputableMonolith.Papers.ClaimBoundaries

   1import Mathlib
   2
   3/-!
   4# Publication Claim Boundaries
   5
   6This module freezes the exact theorem/claim scope for each next-tier paper.
   7It exists so paper drafts reference this file, not unresolved placeholders.
   8
   9## Epistemic tiers
  10
  11- **THEOREM**: Machine-checked in Lean, 0 sorry. Paper may cite directly.
  12- **POSTULATE**: Physical assumption bundled in RecognitionAxioms. Paper must label.
  13- **DEFINITION**: Modeling choice (e.g. Soul := Z-pattern). Paper must declare.
  14- **HYPOTHESIS**: Empirical claim with stated falsifier. Paper must frame honestly.
  15- **OUT_OF_SCOPE**: Not claimable in this paper; defer to future work.
  16
  17## Papers covered
  18
  19- C-1: GCIC as Nonlocal Θ
  20- C-2: Consciousness as φ-Boundary (collapse threshold)
  21- C-3: Z-Pattern Death and Survival
  22- L-3: LNAL 5-op Semantic Core
  23- E-3: DREAM Virtues as Ethical Generators
  24-/
  25
  26namespace IndisputableMonolith.Papers.ClaimBoundaries
  27
  28/-! ## C-1: GCIC as Nonlocal Θ
  29
  30### Theorems (cite freely)
  31- `GlobalPhase.frac_bounds` — fractional part in [0,1)
  32- `GlobalPhase.ladder_reconstruction` — log_φ(L/L₀) = rung + phase
  33- `GlobalPhase.GCIC` — all boundaries share one wrapped global phase
  34- `GlobalPhase.theta_coupling_abs_le_one` — |coupling| ≤ 1
  35- `GlobalPhase.consciousness_nonlocal_via_theta` — two conscious boundaries coupled via shared Θ
  36- `GlobalPhase.extended_coupling_decays` — coupling decreases with ladder distance
  37- `GlobalPhase.theta_evolution_from_R_hat` — ∃ΔΘ: global phase advances under R̂
  38- `GlobalPhase.THEOREM_consciousness_nonlocal` — master bundle
  39
  40### Postulates (must label as physical assumptions)
  41- `RecognitionAxioms.r_hat_global_phase` — universal ΔΘ across all states
  42- `RecognitionAxioms.r_hat_automatic_collapse` — collapse at C≥1
  43
  44### Definitions (must declare as modeling choices)
  45- `UniversalPhase` — phase type ℝ/ℤ
  46- `StableBoundary` — pattern + extent + coherence
  47- `UniversalField` — single global_phase field
  48
  49### Hypotheses (must state falsifier)
  50- `collective_amplifies_recognition_hypothesis` — superlinear collective scaling
  51- `telepathy_prediction` — EEG coherence prediction
  52- `synchronicity_prediction` — Θ fluctuation prediction
  53
  54### Out of scope for C-1
  55- Collapse selection mechanism (C-2)
  56- Death/dissolution (C-3)
  57- Berry phase survival
  58- Biological frequency bands
  59-/
  60def C1_scope : String := "GCIC as Nonlocal Theta"
  61
  62/-! ## C-2: Consciousness as φ-Boundary
  63
  64### Theorems (cite freely)
  65- `ConsciousnessHamiltonian.lam_rec_pos` — recognition length > 0
  66- `ConsciousnessHamiltonian.boundary_cost_nonneg` — BoundaryCost ≥ 0
  67- `ConsciousnessHamiltonian.consciousness_emerges_at_cost_minimum` — local min + thresholds → DefiniteExperience
  68- `CollapseSelection.collapse_is_R_hat_threshold` — C≥1 → definite pointer under R̂
  69- All C-1 theorems (inherited)
  70
  71### Postulates (must label)
  72- `RecognitionAxioms.r_hat_automatic_collapse` — automatic collapse at C≥1
  73- `recognition_equals_twice_gravity_hypothesis` — C = 2A bridge (explicitly labeled)
  74
  75### Definitions (must declare)
  76- `ConsciousnessH` — BoundaryCost + GravitationalDebt + MutualInfo
  77- `DefiniteExperience` — C≥1 ∧ A≥1 ∧ local min of ConsciousnessH
  78- `BoundaryCost` — τ · J(extent/λ_rec)
  79
  80### Known limitations (must acknowledge)
  81- `SelectionRule` is currently constant 0 — no branch-selection mechanism proved
  82- `MutualInfo` uses heuristic Dirac-overlap model, not derived
  83- `GravitationalDebt` uses Newtonian potential model
  84
  85### Out of scope for C-2
  86- Death operator (C-3)
  87- Berry phase
  88- Biological EEG predictions
  89-/
  90def C2_scope : String := "Consciousness as phi-Boundary"
  91
  92/-! ## C-3: Z-Pattern Death and Survival
  93
  94### Theorems (cite freely)
  95- `DeathOperatorCore.octave_slot_count_from_t7` — 8 slots forced by T7
  96- `DeathOperatorCore.totalInformation_nonneg` — information ≥ 0
  97- `DeathOperatorCore.project_idempotent_amplitude` — boolean mask idempotent
  98- `DeathOperatorCore.projectedInformation_le_total` — projection cannot increase information
  99- `DeathOperatorCore.dissolution_certificate_preserves_Z` — Z survives dissolution
 100- `DeathOperatorCore.dissolution_certificate_prefers_light` — dissolution lowers cost
 101- `DeathOperatorBridge.channel_count` — 8 semantic channels
 102- `DeathOperatorBridge.channelIndex_injective` — distinct channels → distinct slots
 103- `DeathOperatorBridge.channel_classification_complete` — every channel is substrate/structural/transitional
 104- `DeathOperatorBridge.substrate_dependent_count` — 3 substrate-dependent channels
 105- `DeathOperatorBridge.z_structural_count` — 4 Z-structural channels
 106- `DeathOperatorBridge.transitional_count` — 1 transitional channel
 107- `DeathOperatorBridge.substrate_dependent_zero_survival` — substrate channels → survival 0
 108- `DeathOperatorBridge.z_structural_full_survival` — structural channels → survival 1
 109- `DeathOperatorBridge.deathProjection_idempotent_amplitude` — death projection idempotent
 110- `DeathOperatorBridge.preservedInformation_le_total` — preserved ≤ total
 111- `DeathOperatorBridge.ethical_debt_reduces_index` — σ-debt lowers transition index
 112- `DeathOperatorBridge.higher_reflexivity_preserves_more` — higher level → more preserved
 113- `DeathOperatorBridge.death_transition_certificate` — master conjunction
 114
 115### Postulates (must label)
 116- `RecognitionAxioms.r_hat_conserves_patterns` — Z conservation under R̂
 117
 118### Definitions (must declare)
 119- `Soul := Z-pattern` — ontological choice, not discovery
 120- `InformationChannel` — 8 semantic labels (modeling layer on forced 8-slot core)
 121- `isSubstrateDependent/isZStructural/isTransitional` — channel classification policy
 122- `survivalFactor` — per-channel retention rule
 123
 124### Out of scope for C-3
 125- Berry phase / accumulated understanding survival
 126- Theta thermodynamics / embodiment dynamics
 127- Specific afterlife phenomenology
 128-/
 129def C3_scope : String := "Z-Pattern Death and Survival"
 130
 131/-! ## L-3: LNAL 5-op Semantic Core
 132
 133### Theorems (cite freely)
 134- `LNAL.Core.Sequence.reduce_idem` — normal form is idempotent
 135- `LNAL.Core.Sequence.reduce_only_structural` — reduced sequences contain only LOCK/legal-BRAID
 136- `LNAL.Core.Sequence.reduce_length_le` — reduction does not increase length
 137- `LNAL.Core.Op.normalize_bind_self` — double normalize = single normalize
 138- `LNAL.Core.Sequence.exec_equiv_refl/symm/trans` — execution equivalence is an equivalence relation
 139
 140### Definitions (must declare)
 141- `Op` — 5-op inductive: LISTEN, LOCK, BALANCE, FOLD, BRAID
 142- `LedgerState` — windows + Z/M ledgers + lock flag
 143- `NeutralWindow` — length-8 window with small sum
 144- `LegalTriad` — pairwise-distinct triple (SU(3) stand-in)
 145
 146### Known limitations (must acknowledge)
 147- `Op.execute` is identity (scaffold) — no operational semantics in this paper
 148- `Sequence.execute_eq_state` proves execution is no-op (from scaffold)
 149- Static invariants (8-tick sum, parity, cost ceiling) referenced in doc but
 150  formalized in separate files, not in Core.lean itself
 151
 152### Vocabulary note for paper
 153- 5 ops = semantic core (this paper)
 154- 8 ops = ISA / VM primitives (separate L-4 paper)
 155- "16 opcodes" in LNAL.lean aggregator is WRONG — it describes program length, not arity
 156
 157### Out of scope for L-3
 158- Full execution semantics (L-4)
 159- Completeness / unique decomposition (U-3)
 160- Photon-meaning bridge
 161- Language emergence
 162-/
 163def L3_scope : String := "LNAL 5-op Semantic Core"
 164
 165/-! ## E-3: DREAM Virtues as Ethical Generators
 166
 167### Theorems (cite freely)
 168- `Virtues.Generators.virtue_completeness` — direction-level: normalFormFromDirection
 169  recovers ξ on Finset.range 32 for any feasible direction
 170- `Virtues.Generators.virtue_minimality` — unique (α,β) solving φ-locked 2×2 system per pair
 171- `Virtues.Generators.transform_preserves_admissibility` — micro-move preserves global admissibility
 172- `Virtues.Generators.foldMoves_preserves_admissibility` — fold of moves preserves admissibility
 173- `VirtueComposition.composed_virtues_preserve_sigma` — σ-preservation closed under composition
 174- `VirtueComposition.virtue_composition_associative` — composition is associative
 175- `LoveUniquenessDerivation.love_changes_individual_sigma` — love changes individual σ when agents differ
 176- `LoveUniquenessDerivation.love_equilibrates` — love contracts σ-difference by (1-α)
 177- `LoveUniquenessDerivation.coupling_conserves_total` — cross-lattice coupling conserves total σ
 178- `VirtueSignatures.love_has_unique_sigma_effect` — love is the only virtue with nonzero σ-effect
 179- `VirtueSignatures.each_virtue_distinct_signature` — all 14 signatures are distinct
 180
 181### Exact scope of proved completeness
 182- Domain: `Consent.FeasibleDirection` (bond-space tangents), NOT arbitrary `LedgerTransition`
 183- Window: `Finset.range 32` (32-bond scope)
 184- Normal form: Justice + Forgiveness pair recovery per pair scope (other primitives zero in nfd)
 185- This is NOT "14 independent basis vectors in tangent space"
 186
 187### Hypotheses (must state falsifier)
 188- `H_DreamTheoremCompleteness` (in DREAMTheorem.lean): the 14 virtues generate ALL σ-preserving
 189  ledger transitions. FALSIFIER: find one that cannot be decomposed.
 190  STATUS: EMPIRICAL_HYPO — the theorem in that file is trivially the hypothesis restated.
 191
 192### Known limitations (must acknowledge)
 193- `canonicalWisdomVirtue` is identity (needs external WiseChoice context)
 194- `DREAMTheorem.lean` uses stub types (local Virtue with 5 constructors, not the real 14)
 195- `compose_virtues` in DREAMTheorem.lean always returns ⟨True⟩
 196- The proved completeness is direction-level, not list-transform-level
 197
 198### Out of scope for E-3
 199- Morality-is-physics gauge theory (E-4)
 200- Virtue scattering matrix / Feynman amplitudes
 201- Biological / EEG predictions
 202-/
 203def E3_scope : String := "DREAM Virtues as Ethical Generators"
 204
 205end IndisputableMonolith.Papers.ClaimBoundaries
 206