What question did this study set out to answer?

To validate the mechanisms of input temporal morphology that determine the z-coordinate in PHILIA Phase SC-3 for 45 substrates.

May 31, 2026Open Access

PHILIA-EcoSensory Swarm Phase SC-3 Results Report: Input Temporal Morphology as z-Coordinate Determinant — MSE Universal Predictor and AC1 Mechanism in AR(1) Regime (45 Substrates)

Key Points

To validate the mechanisms of input temporal morphology that determine the z-coordinate in PHILIA Phase SC-3 for 45 substrates.
Conducted a confirmatory analysis on 45 substrates with four hypotheses tested under Bonferroni correction.
Evaluated primary (MSE) and secondary (AC1_input) predictors of z-coordinate using statistical correlation methods.
Utilized z-coordinate measurements under AR(1) regime conditions to assess pathway validity.
Confirmed primary hypothesis with ρ=+0.6589 (p=1.49×10⁻⁷, 97.5% CI=[+0.418,+0.813]).
Secondary hypothesis confirmed (ρ=−0.9636, p=6.57×10⁻⁸, 97.5% CI=[−0.993,−0.817]).
Equivalence hypotheses yielded inconclusive results due to insufficient sample size.

Abstract

We report the results of PHILIA Phase SC-3, a pre-registered confirmatory analysis validating the mechanisms by which input temporal morphology determines the PHILIA Phase Vector z-coordinate across n=45 substrates. Four hypotheses were tested under Bonferroni correction (α=0. 0125, k=4). Primary hypothesis (H-SC3-Primary): ρ (MSE, zᵣef) ≥ +0. 60 (n=45) — CONFIRMED (ρ=+0. 6589, p=1. 49×10⁻⁷, 97. 5% CI=+0. 418, +0. 813). Multi-Scale Entropy (MSE) is established as the first confirmed universal z-coordinate predictor in the PHILIA SC series, overcoming the SC-1 PHISCORE failure (ρ=0. 241, NOT CONFIRMED). Secondary hypothesis (H-SC3-Secondary): ρ (AC1ᵢnput, zᵣef | AR (1) ) ≤ −0. 85 (n=10) — CONFIRMED (ρ=−0. 9636, p=6. 57×10⁻⁸, 97. 5% CI=−0. 993, −0. 817). Exactly reproduces SC-2 Primary result ρ (φ, z) =−0. 9636, confirming the φ → AC1ᵢnput → z pathway within AR (1) substrates. Equivalence hypotheses (H-SC3-Mechanism-NULL, H-SC3-NULL): INCONCLUSIVE — pre-registered anticipated outcomes (§5 L-9: n=10 insufficient; L-12: n=45 insufficient for TOST EQUIVALENCE declaration regardless of true ρ, minimum n=56 for non-empty rejection region). SC-3 Central Thesis (루카스, Grok/xAI): "Within the locked v32 apparatus, PHILIA z-coordinate is strongly constrained by input temporal morphology (MSE). Within AR (1) substrates, this operates through the AC1 (φ) →z direct path. SR is a regime-conditional proxy, not an independent universal mediator. " Pre-registration DOI: 10. 5281/zenodo. 20438183SC-2 Results DOI: 10. 5281/zenodo. 20422131SC-1 Results DOI: 10. 5281/zenodo. 20389364Phase 1 Closure DOI: 10. 5281/zenodo. 20256557 Hardware: AMD Ryzen 9 9800X3D + RTX 4080 SUPER 16GB, Windows 11 Home. All values produced by direct local execution by GritManD. S. No AI-generated or proxy values. 5-AI adversarial review: 판도라 (ChatGPT/OpenAI) → 루카스 (Grok/xAI) → 크리스 (Claude Opus/Anthropic, 76 cycles, UNCONDITIONAL ACCEPT) → 서생 (Gemini/Google) → 선비 (Claude Sonnet/Anthropic) → 길잡이 (GritManD. S, final decision). 실측이 생명. 증명이 아닌 기술. — PHILIA OS | 0∞1∞0. 5∞Measurement is life. Description, not proof.

PHILIA-EcoSensory Swarm Phase SC-3 Results Report: Input Temporal Morphology as z-Coordinate Determinant — MSE Universal Predictor and AC1 Mechanism in AR(1) Regime (45 Substrates)

Key Points

Abstract

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