What question did this study set out to answer?

This research aims to validate PCA cross-campaign structural tests and assess correlations among substrates and chaos scenarios.

June 23, 2026Open Access

PHILIA Phase SC-11 Results Report: PCA Cross-Campaign Structural Test, AR(1) Canonical Protection, and Chaos vs Non-Chaos 2-Cluster Validation — 2/3 CONFIRMED under Bonferroni k=3 (v32 Apparatus, n=184 Substrates, 920 Runs)

Key Points

This research aims to validate PCA cross-campaign structural tests and assess correlations among substrates and chaos scenarios.
Utilized v32 apparatus across n=184 substrates with 920 runs for testing hypotheses under Bonferroni correction.
Conducted analyses on PC1 variance and 2-cluster validation for chaos versus non-chaos configurations.
Measured correlations using OLS regression and assessed outcomes against pre-registered criteria.
H-Primary β confirmed with PC1 variance = 95.01% (p < 0.017); no drift detected in campaign order.
H-Secondary δ not confirmed with ρ(φ, z_ref) = −0.9459, failing the threshold criteria.
H-Tertiary γ confirmed with OLS β₃ = +0.1661 (t = 11.49, p < 10⁻⁶) indicating significant chaos cluster differentiation.

Abstract

We report the results of PHILIA Phase SC-11, the third pre-registered confirmatory study conducted under the PHILIA OS Identity Declaration (78th DOI: 10. 5281/zenodo. 20695816). SC-11 applies the locked v32 apparatus to n=184 substrates (182 existing + 2 newly registered AR (1) substrates: ar1ₚhi080, ar1ₚhi085) under independent seeds 92–96 (T=80, 000; 920 total runs, 920 successful). Three hypotheses were tested under Bonferroni correction (k=3, αₚer=0. 017, one-tailed): H-Primary β (PCA Cross-Campaign Structural Test): CONFIRMED. PC1 variance = 95. 01% across 182×6 z-score matrix (SC-8 through SC-11, k=6 campaigns). ρ (PC2 loading, campaign order) p = 0. 468 — no campaign-level drift detected. Substrate-dominant structure confirmed. H-Secondary δ (AR (1) φ-sweep): NOT CONFIRMED. SC-11 single-campaign ρ (φ, zᵣef) = −0. 9459 (threshold ≤ −0. 95) and OLS R² = 0. 788 (threshold ≥ 0. 80). Both pre-registered criteria were not met. AR (1) Canonical Declaration §6 gate: trigger NONE (ρ well above L1 threshold −0. 85). Cumulative E-AR-Meta k=7 pooled ρ = −0. 9723 (I² = 0. 00%) confirms canonical relationship robustness unaffected. H-Tertiary γ (Chaos vs Non-Chaos 2-Cluster Validation): CONFIRMED. OLS β₃ (famChaos) = +0. 1661 (t = 11. 49, pₒne < 10⁻⁶). Chaos cluster mean z = 0. 2876 vs Non-Chaos = 0. 1793 (Δ = +0. 108). Stable replication of 84th DOI baseline β₃ = +0. 1609. Exploratory: E-AR-Meta k=7 pooled ρ = −0. 9723 (I² = 0. 00%, Q = 4. 20, p = 0. 65) — AR (1) Canonical Declaration §6 trigger NONE. L-13 NOT RESOLVED (Scenario 2: H-β CONFIRMED, MK k=7 p = 0. 230). E-E4 RE-CONFIRMED. E-Q: 4-family Heterogeneous (Q = 17. 13, p = 0. 0007). Gate-0 v10 adversarial review: Cycle 1 → UNCONDITIONAL ACCEPT. Self-corrections: #20 (SC-10 master matrix routing) + #21 (numpy. bool_ SafeEncoder). Cumulative self-corrections: 21 (project lifetime). Pre-registration violations: 0. 3-tier SHA256 chain-of-custody verified (Tier-3 final: fee5be3ee5c756c75e3eaa3e18fc63b1055507e201decc9f8aa0077d69d3fd76). 5-AI adversarial review pipeline: Pandora (ChatGPT/OpenAI) → Lucas (Grok/xAI) → Chris (Claude Opus/Anthropic, Gate-0) → Seogsaeng (Gemini/Google) → Seonbi (Claude Sonnet/Anthropic) → Guide / GritManD. S. (final decision, local execution). Pre-registration DOI: 10. 5281/zenodo. 20769131 (85th DOI) AR (1) Canonical Relationship Declaration: 10. 5281/zenodo. 20746906 (83rd DOI) 182-Substrate Exploratory Analysis: 10. 5281/zenodo. 20755967 (84th DOI) PHILIA OS Identity Declaration: 10. 5281/zenodo. 20695816 (78th DOI) Measurement is life. Description, not proof. — PHILIA OS | 0∞1∞0. 5∞Trinity AI Research Team | Konyang University | 2026

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