PHILIA OS Phase SC-11 Pre-registration: PCA Structural Test, AR(1) Canonical Protection, and Chaos vs Non-Chaos 2-Cluster Validation

This document constitutes the pre-registration protocol for PHILIA OS Phase SC-11, the fourth confirmatory study conducted under the PHILIA OS Identity Declaration (78th DOI: 10.5281/zenodo.20695816), which repositioned PHILIA OS as a Sensory Physiology Organ functionally analogous to the Thalamic-Cerebellar-Brainstem axis. SC-11 applies the locked v32 apparatus to n=184 substrates (182 existing + 2 newly registered AR(1) substrates at φ=0.80 and φ=0.85) under independent seeds [92–96] (T=80,000; 920 total runs). Three confirmatory hypotheses are pre-registered under Bonferroni correction (k=3, α_per=0.017): H-Primary β (PCA Structural Test): PC1 variance ≥ 90% AND Spearman ρ(PC2 loading, campaign order) p ≥ 0.05 in k=6 campaigns (SC-8 through SC-11), jointly testing substrate dominance and L-13 formal close-out. Applied to 182×6 matrix (cross-campaign compatible substrates only). H-Secondary δ (AR(1) Canonical Protection): Pooled ρ(φ, z_ref) ≤ −0.95 (C1) AND Linear R² ≥ 0.80 (C2), binding to AR(1) Canonical Relationship Declaration §6 (83rd DOI: 10.5281/zenodo.20746906). C3 slope acceleration demoted to exploratory (E-C3) following Monte Carlo power analysis (power < 30%). H-Tertiary γ (Chaos vs Non-Chaos 2-Cluster Validation): OLS z_ref ~ β₀ + β₁·ac1 + β₂·mse + β₃·fam_Chaos, β₃ significant (one-tailed, α=0.017) AND |β₃| ≥ 0.05. Formalizes the Stable Endogenous Baseline Cluster (ICC ≥ 0.95, n=164) vs Exogenous Chaotic Cluster (ICC ≤ 0.45, n=20) bifurcation confirmed by SC-11 Pre-analysis (2026.06.20). Full OLS power at boundary β₃=0.05: 0.9046. Pre-registration completed following 5-AI adversarial review pipeline (Gate-0 v10, 5 document cycles) and 4 pre-analysis measurement rounds (ICC sub-family, power analysis, C3 slope ratio, full OLS power) all executed locally by the principal investigator. DOI lineage: SC-10 Results (82nd) → AR(1) Declaration (83rd) → 182-Substrate Exploratory (84th) → SC-11 Pre-registration (this document, 85th).