Confirms Multi-Scale Entropy as a robust predictor across multiple substrates, implying broad applicability.
We report the confirmatory results of PHILIA Phase SC-4, a pre-registered analysis validating the universality of Multi-Scale Entropy (MSE) as a z-coordinate predictor and establishing the equivalence of SR_final as a near-null predictor across n=155 pooled substrates (SC-3 n=45 + SC-4 Part 1 synthetic n=20 + SC-4 Part 2 real-world n=90). Two hypotheses were tested under Bonferroni correction (α=0.025, k=2): H-SC4P2-Primary: ρ(MSE, z_ref) ≥ +0.60 (n=155, one-sided Spearman) — CONFIRMED(ρ = +0.6592, p = 0.0, 97.5% CI = [+0.5597, +0.7399], margin = +0.059).This result replicates the SC-3 finding (ρ = +0.6589, n=45) to four decimal places despite a 3.4× increase in sample size and the addition of 90 heterogeneous real-world substrates, strongly suggesting that the MSE↔z relationship represents a stable structural association of the locked v32 apparatus. H-SC4P2-Secondary: TOST ρ(SR_final, z_ref) |ρ| < 0.30 (n=155) — EQUIVALENCE(ρ = −0.1344, TOST p_max = 0.0158, 97.5% CI = [−0.2860, +0.0237]).This resolves the SC-3 INCONCLUSIVE H-SC3-NULL verdict exactly as pre-registered (SC-3 §5 L-12: n≥141 required for CI containment at bound ±0.30). Exploratory: Part 2 real-world z_mean category hierarchy (DESCRIPTIVE_ONLY):Traffic(0.207) > Environment(0.192) > Energy(0.171) > Industrial/Sensor(0.141) > Financial(0.137) > Biosignal(0.125). Experiment details:- Apparatus: PHILIA v32 self-raw × 3-channel normalization (LOCKED, BUG-1~6 patched)- Part 1 seeds: [57, 58, 59, 60, 61] | Part 2 seeds: [62, 63, 64, 65, 66]- T = 80,000 steps/run | Total runs: 550 | Total computations: ~12.4M- Registry SHA256: 1c70ad7a4fac876f57ddc744c52bf59b4c51d5f29902907f323b3d18748f0273- Hardware: AMD Ryzen 9 9800X3D + RTX 4080 SUPER, Windows 11 (C:) Pre-registration DOI: 10.5281/zenodo.20471179Annex v1.2 DOI: 10.5281/zenodo.20508300SC-3 Results Report DOI: 10.5281/zenodo.20440174 5-AI adversarial review pipeline: 판도라 (ChatGPT) → 루카스 (Grok) → 크리스 (Claude Opus, Gate-0 v9, UNCONDITIONAL ACCEPT, 2026.06.04) → 서생 (Gemini) → 선비 (Claude Sonnet) → 길잡이 / GritMan_D.S (final decision). Trinity AI Research Team | Konyang University | 2026.06.04실측이 생명. 증명이 아닌 기술. — PHILIA OS | 0∞1∞0.5∞
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신두섭 (2026) studied this question.
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