docs(hf): add 31_Epigenetic_Weight_Crystallizer/run_proof.py matching whitepaper standard

31_Epigenetic_Weight_Crystallizer/run_proof.py

@@ -0,0 +1,65 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Class 31: Epigenetic Weight Crystallizer (Z-NEWM) Algorithmic Verifier
+Scope: Validates closed-form Gram-Schmidt nullspace weight projection and 70-byte
+crystal serialization. (Note: Empirical continual learning validation occurs via downstream task evaluation).
+"""
+
+import struct
+import math
+import time
+
+class EpigeneticCrystal:
+    def __init__(self, domain, rank, weights, hash_val):
+        self.domain = domain
+        self.rank = rank
+        self.weights = weights
+        self.hash_val = hash_val
+
+    def pack(self):
+        head = struct.pack("!BB", self.domain, self.rank)
+        w_bytes = struct.pack("!16f", *self.weights)
+        tail = struct.pack("!I", self.hash_val)
+        return head + w_bytes + tail
+
+    @classmethod
+    def unpack(cls, data):
+        domain, rank = struct.unpack("!BB", data[:2])
+        weights = list(struct.unpack("!16f", data[2:66]))
+        hash_val = struct.unpack("!I", data[66:70])[0] if len(data) >= 70 else struct.unpack("!I", data[60:64])[0]
+        return cls(domain, rank, weights, hash_val)
+
+def test_proof():
+    print("=" * 65)
+    print("  ZYMATICA CLASS 31: EPIGENETIC WEIGHT CRYSTALLIZER (Z-NEWM)")
+    print("  Scope: Gram-Schmidt Nullspace Projection & Crystal Serialization")
+    print("=" * 65)
+
+    hidden_dim = 128
+    base_act = [1.0 + math.sin(i * 0.1) * 0.2 for i in range(hidden_dim)]
+    new_concept = [math.cos(i * 0.2) * 0.8 for i in range(hidden_dim)]
+
+    t0 = time.perf_counter()
+    dot_prod = sum(a * c for a, c in zip(base_act, new_concept))
+    base_norm_sq = sum(a * a for a in base_act)
+    scalar = dot_prod / base_norm_sq
+    nullspace_delta = [new_concept[i] - scalar * base_act[i] for i in range(hidden_dim)]
+    elapsed_us = (time.perf_counter() - t0) * 1e6
+
+    ortho_dot = sum(a * d for a, d in zip(base_act, nullspace_delta))
+    print(f"[+] Nullspace Closed-Form Calculation Time: {elapsed_us:.2f} microseconds")
+    print(f"[+] Orthogonal Inner Product: {ortho_dot:.8e} (Exact 0.0000 Nullspace Bound)")
+    assert abs(ortho_dot) < 1e-5, "Strict orthogonality violated"
+
+    weights = [0.1 * (i + 1) for i in range(16)]
+    crystal = EpigeneticCrystal(domain=5, rank=2, weights=weights, hash_val=0xDEADBEEF)
+    packed = crystal.pack()
+    print(f"[+] Ephemeral Crystal Serialization: {len(packed)} Bytes (LoRa Mesh Ready)")
+    assert len(packed) == 70, f"Expected 70 bytes, got {len(packed)}"
+
+    print("\n[PASS] CLASS 31 VERIFICATION: NULLSPACE ORTHOGONALITY & SERIALIZATION VERIFIED")
+    print("=" * 65)
+
+if __name__ == "__main__":
+    test_proof()