What question did this study set out to answer?

The central aim is to validate substrate z-coordinate classification and understand its morphological influences across various time series.

May 30, 2026Open Access

PHILIA-EcoSensory Swarm Phase SC-2 Results Report: Substrate Temporal Morphology and z-coordinate Determination — Extended Validation Protocol (45 Substrates)

Key Points

The central aim is to validate substrate z-coordinate classification and understand its morphological influences across various time series.
Extended validation protocol for 45 substrates across diverse time series including synthetic and chaotic data.
Primary hypothesis focused on AR(1) φ-sweep monotonicity confirmed by correlation analysis.
Secondary analyses included homeostasis and financial return assessments across substrates.
Primary hypothesis confirmed with a Spearman ρ of −0.9636 (p = 3.66×10⁻⁶).
x-axis homeostasis confirmed with a coefficient of variation of 3.62%, demonstrating stability across substrates.
Substrates classified into four regimes: High-z, Transition, Low-z, and Collapse, indicating various levels of sensitivity to temporal morphology.

Abstract

Results report for PHILIA-EcoSensory Swarm Phase SC-2, a pre-registered validation protocol extending substrate z-coordinate classification from n=29 (Phase SC-1) to n=45 substrates across synthetic, financial, chaotic, and prime-number-derived time series. Pre-registration DOI: 10. 5281/zenodo. 20410153SC-1 Report DOI: 10. 5281/zenodo. 20389364 Primary hypothesis (H-SC2-Primary): AR (1) φ-sweep monotonicity —Spearman ρ (φ, zᵣef) ≤ −0. 85 (n=10) — CONFIRMED (ρ = −0. 9636, p = 3. 66×10⁻⁶) Secondary hypotheses: - H-SC2-Secondary-1: x-axis homeostasis CV ≤ 5% (n=44) — CONFIRMED (CV = 3. 62% 3. 6166%, Bootstrap 95% CI = 2. 74%, 4. 38%) - H-SC2-Continuity-Check: Financial Return > Level (7/7) — CONFIRMED (SC-1 lineage, p = 0. 0078) Key findings: - AR (1) persistence (φ↑) monotonically suppresses zᵣef (ρ = −0. 9636) - x-axis exhibits substrate-invariant homeostasis (CV = 3. 62%) while z-axis shows 11. 31× greater sensitivity to temporal morphology- 45 substrates classified into four regimes: High-z (n=8) / Transition (n=24) / Low-z (n=12) / Collapse (n=1) - Chaos substrates form a coherent band 0. 2021, 0. 3523 (n=8) - Prime substrates exhibit extreme polarization (Δ=0. 4227): primeₘod₁0 (z=0. 4313, highest) vs primeₗog (z=0. 0086, lowest) — driven by temporal morphology rather than mathematical origin Apparatus (LOCKED): v32 self-raw × 3-channel normalization (SC-1형, BUG-1~6 patched). 45-substrate zᵣef dataset: SC-1 frozen (n=29) + SC-2D measured (n=16, 80 runs, 2026-05-27). Retroactive audit: philiaᵣetroactiveₛc2. py (sc2ᵣetroactiveᵥ1), Gate-0 v8 PASS=12/12. All values verified by direct local execution. 5-AI adversarial review: Pandora (OpenAI) → Lucas (xAI) →Chris (Anthropic, Gate-0 v8, 65th review, UNCONDITIONAL ACCEPT) →Seogsaeng (Google) → Seonbi (Anthropic) →GritManD. S (final decision). 실측이 생명. 증명이 아닌 기술. — PHILIA OS | 0∞1∞0. 5∞

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