PHILIA-EcoSensory Swarm v57 Phase 3: CASE_F — x-axis RESTORATION via SB_3param_corrected 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 CASE_K post-hoc diagnosis — control-sign convention failure — into a falsifiable hypothesis. Primary Result (§Conclusions = CASE_F):F3' (SB_3param_corrected): x_dev_max = 0.0045 < 0.010 → Q6 RESTORATION ✅Q6a PASS (d_paired = +1.160), Q6b PASS (d_paired = +2.246), Q6c PASS (v56 diagnosis confirmed) Defining Evidence — Finding 1' (Deterministic Mirror):(F3'−F1') = −SB_x(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 CASE_K and v57 CASE_F 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 SB_corrected (v57 ★) Pre-registration DOI: included in this upload (philia_v57_preregistration_draft.md)Series: v55 (DOI: 10.5281/zenodo.20025150) → v56 (DOI: 10.5281/zenodo.20065905) → v57 ★ Trinity AI Research Team | 실측이 생명. 증명이 아닌 기술.