PHILIA-EcoSensory Swarm v57 Phase 3: CASEF — x-axis RESTORATION via SB₃paramcorrected GearboxX and Falsifiable Verification of v56 Control-Sign Convention Failure

We report PHILIA-EcoSensory Swarm v57 Phase 3, a pre-registered 3-cell ablation study (500 runs, seeds 522–561, T=80, 000 steps) designed to convert the v56 CASEK post-hoc diagnosis — control-sign convention failure — into a falsifiable hypothesis. Primary Result (§Conclusions = CASEF): F3' (SB₃paramcorrected): xdevₘax = 0. 0045 < 0. 010 → Q6 RESTORATION ✅Q6a PASS (dₚaired = +1. 160), Q6b PASS (dₚaired = +2. 246), Q6c PASS (v56 diagnosis confirmed) Defining Evidence — Finding 1' (Deterministic Mirror): (F3'−F1') = −SBₓ (w) × 0. 963, per-seed std ≈ 10⁻¹⁵ across all 5 w-points — the sign-reversed counterpart of v56 Finding 1 (+0. 957). This is not a statistical result; it is a deterministic consequence proving v56 CASEK and v57 CASEF are two sides of the same phenomenon. PHILIA Phase Vector Φ = (x, y, z) controller-verified on each axis independently: z-axis: GearboxZ SB (v52+) | y-axis: GearboxY Linear (v54) | x-axis: GearboxX SBcorrected (v57 ★) Pre-registration DOI: included in this upload (philiaᵥ57ₚreregistrationdraft. md) Series: v55 (DOI: 10. 5281/zenodo. 20025150) → v56 (DOI: 10. 5281/zenodo. 20065905) → v57 ★ Trinity AI Research Team | 실측이 생명. 증명이 아닌 기술.