Sovereign Crucible Falsification Resolution

- Security: Fixed path traversal in k8s read_artifact and secured Merkle genesis hash.
- Physics: Replaced Hermitian dot product with strict N-dimensional Kuramoto coupling.
- Physics: Restored Hodgkin-Huxley decay/recovery mechanics (resolving dampening catastrophe).
- Physics: Strictly bounded SDE Geometric Brownian noise to |T_tau|^2 <= 1.0.
- Architecture: Fixed coroutine evaluation trap in test suite and stripped dead globals.
- Architecture: Integrated Lamport Clocks for deterministic causal ordering.
- Academic: Re-aligned all 5 LaTeX papers with actual code mechanisms, added citations, and recompiled PDFs.

sde_test.py

@@ -0,0 +1,24 @@
+import numpy as np
+import math
+
+stochastic_noise_std = 0.05
+rng = np.random.default_rng(42)
+
+# Euler-Maruyama test
+similarity = complex(1.0, 0.0)
+dt_true = 0.05 # 20 Hz
+dt_hardcoded = 1.0 # What the codebase uses
+
+for i in range(100):
+    dW = (rng.normal(0, 1.0) + 1j * rng.normal(0, 1.0)) * math.sqrt(dt_hardcoded)
+    similarity += similarity * (0.0 * dt_hardcoded + stochastic_noise_std * dW)
+
+print(f"Similarity after 100 steps (dt=1.0): {abs(similarity)}")
+
+similarity2 = complex(1.0, 0.0)
+rng2 = np.random.default_rng(42)
+for i in range(100):
+    dW = (rng2.normal(0, 1.0) + 1j * rng2.normal(0, 1.0)) * math.sqrt(dt_true)
+    similarity2 += similarity2 * (0.0 * dt_true + stochastic_noise_std * dW)
+
+print(f"Similarity after 100 steps (dt=0.05): {abs(similarity2)}")