What question did this study set out to answer?

This research aims to assess the behavior of chaotic substrate transfer through the Lorenz63 model.

May 26, 2026Open Access

PHILIA-EcoSensory Swarm Phase 3.5 Results Report: Lorenz63 Chaos Substrate Transfer Test — Pilot (N=5) + Reproduction (N=40)

Key Points

This research aims to assess the behavior of chaotic substrate transfer through the Lorenz63 model.
Conducted Phase 3.5 testing with two groups: pilot (N=5) and reproduction (N=40).
Utilized Lorenz63 chaotic time series across four channels for analysis.
Processed 1,400 runs over 3-day splits for robustness.
Confirmed four empirical findings across both pilot and reproduction phases.
Demonstrated z-axis substrate specificity with mean comparison showing Δ = −0.1123.
Found slope sign inversion in z(w) with R²=0.9562, indicating distinct chaotic behavior.

Abstract

PHILIA-EcoSensory Swarm Phase 3. 5 technical report. Engine: philiaᵥ57ₚhase3fixed. py (Phase 3 direct inheritance). Substrate mode: singlechaosₛelfmix — all four channels (basic/cern/higgs/taxi) replaced with Lorenz63 chaotic time series (σ=10, ρ=28, β=8/3). GX=linear, CXZ ∈ 50, 70, 90, 100, 110×10⁻⁶, w-points 0. 1, 0. 25, 0. 5, 0. 625, 0. 775, 0. 875, 0. 9, T=80, 000 steps/run. Phase 3. 5a (pilot): N=5, seeds 42–46, 175 runs, 109. 7 min. Phase 3. 5b (reproduction): N=40, seeds 62–101, 1, 400 runs, 871. 1 min (14. 5 h), 3-day split. Verdict: REPRODUCEDPARTIAL (1/3). HARCH trivially passes (CXZ-z decoupling) ; PHINATURAL proximity and CASEBIPHASIC not reproduced, consistent with observed substrate-specific z behavior. Four raw empirical findings confirmed (N=5→N=40 correction: 0 items): (1) x/y-axis cross-substrate stability: phiₗikeₘean x ∈ 0. 3256, 0. 3275, y = 0. 1766 (identical within reported precision, 5-cell). (2) z-axis substrate-specificity: zₘean = 0. 3077 (identical to 4 decimal places, 5-cell; Δ = −0. 1123 vs PHINATURAL2=0. 42). (3) z (w) slope sign inversion: +0. 2731 (Lorenz63) vs −0. 2159 (v50 real-substrate reference) ; R²=0. 9562, 5-cell identical. (4) CXZ-z decoupling: zₛtd = 0. 002449 (identical to 6 decimal places, 5-cell) ; CXZ-vs-zₛtd slope numerically indistinguishable from zero within reporting precision. 5-AI adversarial review: 판도라 (OpenAI) → 루카스 (Grok) → 크리스 60차 UNCONDITIONAL ACCEPT (Claude Opus) → 서생 (Gemini) → 선비 (Claude Sonnet) → 길잡이 final decision. Hardware: AMD Ryzen 9 9800X3D + RTX 4080 SUPER 16GB, Windows 11 Home. numpy CPU serial. No AI-generated or proxy values. Phase 3 ref: DOI 10. 5281/zenodo. 20325116. Phase 3 pre-reg: DOI 10. 5281/zenodo. 20302204. 실측이 생명. 증명이 아닌 기술. — PHILIA OS | 0∞1∞0. 5∞

PHILIA-EcoSensory Swarm Phase 3.5 Results Report: Lorenz63 Chaos Substrate Transfer Test — Pilot (N=5) + Reproduction (N=40)

Key Points

Abstract

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