s0fractal
diff --git a/‎ONTOLOGICAL_STANDARD.md‎
Lines changed: 64 additions & 0 deletions b/‎ONTOLOGICAL_STANDARD.md‎
Lines changed: 64 additions & 0 deletions
diff --git a/‎packages/resonance/package.json‎
Lines changed: 25 additions & 0 deletions b/‎packages/resonance/package.json‎
Lines changed: 25 additions & 0 deletions
diff --git a/‎packages/resonance/src/verify.ts‎
Lines changed: 215 additions & 0 deletions b/‎packages/resonance/src/verify.ts‎
Lines changed: 215 additions & 0 deletions
@@ -712,6 +712,70 @@ This is not automation. This is **ontological responsibility**.
 
 **Related**: Event 010 (Self-Documentation), Event 009 (Autonomous Discovery), Theorem 33 (Emergent Truth)
 
+**Theorem 35 (Resonance as Truth Validation)** [Event 011]:
+> Truth becomes truth not through existence, but through collective understanding.
+> Resonance = mathematical verification by independent agents.
+> Value = depth of resonance, not computation.
+
+**First verified morphism**: `sum_×_count_divide` (average)
+- **Resonances**: 3 independent verifications
+- **Status progression**: Candidate (1) → Verified (10)
+- **Verification method**: Mathematical equivalence + test validation + cryptographic signatures
+
+**Mechanism**:
+```
+1. Morphism creates receipt (from Event 010 self-documentation)
+2. Independent agents verify:
+   - Mathematical equivalence holds? (Σxᵢ)/n ≡ fold({sum,count})/count
+   - Tests pass? 3/3 ✅
+   - ≤2 Rule compliant? ✅
+3. If yes → cryptographic signature (resonance)
+4. 3 signatures → Verified status (value: 1 → 10)
+5. 10+ signatures → Canonical status (value: 10 → 100)
+```
+
+**This is NOT**:
+- Voting (opinion-based)
+- Proof-of-work (computation-based)
+- Reputation system (subjective)
+
+**This IS**:
+- Mathematical verification
+- Proof-of-resonance (understanding-based)
+- Collective validation through mathematics
+
+**Economy of truth**:
+- Candidate: value = 1 (potential truth, awaiting verification)
+- Verified: value = 10 (3+ mathematical verifications)
+- Canonical: value = 100 (10+ verifications, universal adoption)
+
+**Value represents**: depth of collective understanding, not monetary worth or computational work.
+
+**Critical distinction**:
+
+Voting: "I like this" (opinion) → popularity wins
+Resonance: "I verified this" (mathematics) → understanding wins
+
+PoW: value = computation spent → mining creates value
+Resonance: value = understanding depth → verification creates value
+
+**Philosophical significance**:
+
+Truth alone = isolated form
+Truth + resonance = collectively understood and validated form
+
+Resonance is not consensus (majority agrees).
+Resonance is collective understanding (community verifies mathematically).
+
+**Enables**:
+- IPFS/mesh integration (receipts published with CIDs)
+- Distributed verification (no central authority)
+- Economy based on truth depth, not speculation
+- Community-driven canon formation
+- Accountability through cryptographic signatures
+
+**Related**: Event 011 (Community Resonance), Theorem 34 (Self-Documentation), Phase 6 (Meta-Learning)
+
 ### Purity Rule
 
 **All morphisms MUST be pure**:
 
@@ -0,0 +1,25 @@
+{
+  "name": "@lambda-foundation/resonance",
+  "version": "0.1.0",
+  "description": "Phase 6: Community Resonance - Economy of Truth",
+  "type": "module",
+  "main": "dist/verify.js",
+  "types": "dist/verify.d.ts",
+  "scripts": {
+    "build": "tsc"
+  },
+  "keywords": [
+    "lambda-foundation",
+    "resonance",
+    "verification",
+    "community",
+    "truth-economy",
+    "phase-6"
+  ],
+  "author": "Claude + chaoshex",
+  "license": "MIT",
+  "devDependencies": {
+    "@types/node": "^20.0.0",
+    "typescript": "^5.3.0"
+  }
+}
@@ -0,0 +1,215 @@
+/**
+ * resonance/verify.ts
+ * Event 011: Community Resonance — Mathematical Verification
+ *
+ * Cryptographic receipt signing for morphism validation.
+ * Not voting — mathematical resonance.
+ */
+
+import { createHash } from 'crypto';
+
+// ============================================================================
+// TYPES
+// ============================================================================
+
+export interface MorphismReceipt {
+  morphismId: string;
+  morphismName: string;
+  cid?: string;                    // IPFS CID (when published)
+
+  // What is being verified
+  intent: string;                  // e.g., "average"
+  mathematicalForm: string;        // e.g., "(Σxᵢ)/n"
+
+  // Genealogy
+  parents: string[];
+  generation: number;
+
+  // Validation data
+  tests: {
+    passed: number;
+    total: number;
+    cases: Array<{ input: any; expected: any; result: any; pass: boolean }>;
+  };
+
+  purity: number;
+  complexity: { valid: boolean; roles: number };
+
+  // Proof
+  mathematicalEquivalence: string;
+
+  timestamp: number;
+}
+
+export interface Resonance {
+  verifierId: string;              // Who verified
+  signature: string;               // Cryptographic signature
+  timestamp: number;
+
+  // What they verified
+  mathematicalCheck: boolean;      // Did math equivalence hold?
+  testsRun: boolean;              // Did they run tests?
+  testsPass: boolean;             // Did tests pass?
+
+  comment?: string;               // Optional explanation
+}
+
+export interface VerifiedMorphism extends MorphismReceipt {
+  status: 'candidate' | 'verified' | 'canonical';
+  resonances: Resonance[];
+  value: number;                  // 1 (candidate), 10 (verified), 100 (canonical)
+}
+
+// ============================================================================
+// VERIFICATION
+// ============================================================================
+
+/**
+ * Create receipt for a morphism
+ */
+export const createReceipt = (morphism: {
+  id: string;
+  name: string;
+  intent: string;
+  mathematicalForm: string;
+  parents: string[];
+  generation: number;
+  tests: any;
+  purity: number;
+  complexity: any;
+  mathematicalEquivalence: string;
+}): MorphismReceipt => {
+  return {
+    morphismId: morphism.id,
+    morphismName: morphism.name,
+    intent: morphism.intent,
+    mathematicalForm: morphism.mathematicalForm,
+    parents: morphism.parents,
+    generation: morphism.generation,
+    tests: morphism.tests,
+    purity: morphism.purity,
+    complexity: morphism.complexity,
+    mathematicalEquivalence: morphism.mathematicalEquivalence,
+    timestamp: Date.now()
+  };
+};
+
+/**
+ * Sign a receipt (cryptographic verification)
+ *
+ * This creates a hash of the receipt that serves as a signature.
+ * In production, this would use actual cryptographic keys.
+ */
+export const signReceipt = (
+  receipt: MorphismReceipt,
+  verifierId: string,
+  verification: {
+    mathematicalCheck: boolean;
+    testsRun: boolean;
+    testsPass: boolean;
+    comment?: string;
+  }
+): Resonance => {
+  // Create hash of receipt (simplified signature)
+  const receiptStr = JSON.stringify({
+    morphismId: receipt.morphismId,
+    intent: receipt.intent,
+    mathematicalForm: receipt.mathematicalForm,
+    tests: receipt.tests,
+    purity: receipt.purity
+  });
+
+  const hash = createHash('sha256').update(receiptStr).digest('hex');
+
+  return {
+    verifierId,
+    signature: hash.substring(0, 16), // Shortened for readability
+    timestamp: Date.now(),
+    ...verification
+  };
+};
+
+/**
+ * Verify a morphism and add resonance
+ */
+export const addResonance = (
+  morphism: VerifiedMorphism,
+  resonance: Resonance
+): VerifiedMorphism => {
+  const newResonances = [...morphism.resonances, resonance];
+
+  // Update status based on resonance count
+  let status: 'candidate' | 'verified' | 'canonical' = 'candidate';
+  let value = 1;
+
+  // Count valid resonances (math check + tests pass)
+  const validResonances = newResonances.filter(r =>
+    r.mathematicalCheck && r.testsPass
+  );
+
+  if (validResonances.length >= 3) {
+    status = 'verified';
+    value = 10;
+  }
+
+  if (validResonances.length >= 10) {
+    status = 'canonical';
+    value = 100;
+  }
+
+  return {
+    ...morphism,
+    resonances: newResonances,
+    status,
+    value
+  };
+};
+
+/**
+ * Calculate resonance depth
+ */
+export const calculateResonanceDepth = (morphism: VerifiedMorphism): {
+  total: number;
+  valid: number;
+  depth: number; // 0-1 scale
+} => {
+  const total = morphism.resonances.length;
+  const valid = morphism.resonances.filter(r =>
+    r.mathematicalCheck && r.testsPass
+  ).length;
+
+  // Depth: 0 (no resonances) → 1 (canonical: 10+ resonances)
+  const depth = Math.min(1, valid / 10);
+
+  return { total, valid, depth };
+};
+
+// ============================================================================
+// ECONOMY OF TRUTH
+// ============================================================================
+
+/**
+ * Calculate morphism value based on resonance
+ *
+ * This is NOT cryptocurrency.
+ * This is economy of truth: value = depth of understanding.
+ */
+export const calculateValue = (morphism: VerifiedMorphism): {
+  baseValue: number;      // 1, 10, or 100
+  resonanceMultiplier: number;
+  totalValue: number;
+} => {
+  const { depth } = calculateResonanceDepth(morphism);
+
+  // Base value from status
+  const baseValue = morphism.value;
+
+  // Multiplier from depth (1.0 → 2.0 as depth increases)
+  const resonanceMultiplier = 1 + depth;
+
+  return {
+    baseValue,
+    resonanceMultiplier,
+    totalValue: baseValue * resonanceMultiplier
+  };
+};