The Anti-Drift Cognitive Control Loop (ADCCL): A Geometric Foundation for Hallucination-Free Autonomous Reasoning

Introduces a 13-metric cognitive control loop framework for maintaining alignment stability and preventing drift in autonomous LLM reasoning systems. Formalizes the sovereignty threshold as a geometric gate with Lean 4 verification. CORRECTION (v2, 2026-07-16): The chiral stability boundary is now stated exactly as theta_max = arccos(0.9539). Version 1 gave the decimal bound angle <= 0.3040 rad and claimed both directions were verified by native_decide; that decimal is false (arccos(0.953939) = 0.3046933..., so theta=0.3045 is a counterexample). The Lean 4 theorem chiral_stability_boundary now proves the exact arccos-form equivalence from Real.strictAntiOn_cos, depending only on [propext, Classical.choice, Quot.sound] (no sorry, no bespoke axiom). A degree-symbol rendering glitch (17.4 deg shown as a stray glyph) was also fixed to 17.46 deg.