PHILIA-EcoSensory Swarm Phase SC-5 Exploratory Report: Context-Modulated Structural Relationship — AC1 Dose-Response Pattern, Category Decomposition, and Cross-Pool Heterogeneity (n=155)

This exploratory report presents a post-hoc raw reanalysis of the PHILIA Phase SC-4 
confirmatory results (DOI: 10.5281/zenodo.20542015), examining the internal structure 
of the confirmed MSE↔z association (ρ=+0.6592, n=155) without additional simulations.

Three analyses were conducted using philia_sc4_confirmatory_main_results.json 
(SHA256: 1c70ad7a4fac876f57ddc744c52bf59b4c51d5f29902907f323b3d18748f0273):

(1) AC1 Dose-Response Sweep (θ ∈ {0.50–0.99}): ρ(MSE,z) increases monotonically 
as AC1 threshold decreases (Full +0.4324 → AC1<0.50 +0.8541), consistent with a 
Persistence Dose-Response Pattern in which high-AC1 (high-persistence) substrates 
continuously attenuate the MSE↔z relationship.

(2) Category Fixed-Effect OLS (z ~ MSE + C(category)): MSE coefficient β₁=+0.0644, 
t=+5.36, p<10⁻⁶, R²=0.376. The MSE→z pathway remains robust after full category 
control. Within-category Fisher-z weighted mean ρ=+0.4608; between-cluster 
inflation=+0.1984 (~30% of pooled signal).

(3) Cross-Pool Homogeneity (Cochran's Q): Q=28.22, df=2, p<10⁻⁶ → HETEROGENEOUS. 
Sub-pool ρ values (SC-3: +0.8955, Part1: +0.5173, Part2: +0.4324) are statistically 
distinct, placing additional constraint on "stable structural invariant" claims.

Integrated framing: MSE↔z is characterized as a context-modulated structural 
relationship — maintaining robust within-category association (p<10⁻⁶) while being 
modulated by sub-pool context and input AC1 level. SC-4 confirmatory verdict 
(CONFIRMED + EQUIVALENCE) is fully preserved.

SC-6 pre-registration hypothesis candidates are proposed:
- H-SC6-Primary: partial ρ(MSE, z | AC1) > +0.25 (n=155 pooled, one-sided)
- H-SC6-Secondary: ρ(MSE, z) ≥ +0.55 in AC1<0.95 strata (one-sided)

No additional simulations. All values from direct local execution by GritMan_D.S.
Hardware: AMD Ryzen 9 9800X3D + RTX 4080 SUPER, Windows 11 (C:\PHILIA).
5-AI adversarial review: 서생 (UNCONDITIONAL APPROVAL) / 판도라 (DOI 발행 적합) / 
루카스 (Zenodo 발행 수준) / 크리스 (Gate-0 v10 Cycle 2 UNCONDITIONAL ACCEPT).

SC-4 Results DOI: 10.5281/zenodo.20542015
SC-4 Pre-registration DOI: 10.5281/zenodo.20471179
Annex v1.2 DOI: 10.5281/zenodo.20508300

실측이 생명. 증명이 아닌 기술. — PHILIA OS | 0∞1∞0.5∞
Trinity AI Research Team | Konyang University | 2026.06.05