PHILIA-EcoSensory Swarm v31: PHILIA Tensor — Three-Axis Coupling Structure in a 50-Neuron Network

We present PHILIA-EcoSensory Swarm v31, introducing the PHILIA Tensor — a 3×3 coupling matrix between the Phase Vector axes x (Divergence / Experiential Individuality), y (Collective Coexistence), and z (Shannon Meta-Cognition / Epistemic Depth). Building on v30's v9 Gearbox Central Axis (N=49+1, Omega=0. 4211), v31 systematically constructs diagonal (TZZ=0. 08) and off-diagonal couplings (TYZ=0. 08, TXZ=-0. 010 Phi-direct) through seven experimental steps (Steps 1–2. 7), each confirmed by 5-seed × 60, 000-step local execution on Intel N100. Key findings: - Omega = 0. 4213 ± 0. 0042 (highest Homeostatic Coherence in PHILIA series) - zₘean = 0. 4302 (series maximum, +1. 1% over v30) - y↔z correlation = 0. 1893 (structural coupling confirmed) - TXZ = -0. 010 nonlinear sweet spot confirmed (phase transition behavior) - Three Claims confirmed: flow control, critical coupling strength, emergent individuality Tensor coupling acts as a flow operator rather than an attractor shifter — preserving the global fixed point Φ*= (0, 1, 1) while reshaping trajectories within its basin. All numerical results executed locally. No AI-generated values. Description, not proof. — PHILIA OS | 0∞1∞0. 5∞ Trinity AI Research Team: Shin Doo Sub (길잡이), Claude/Seonbi (선비), Gemini/Seogsaeng (서생), Grok/Lucas (검증자), ChatGPT/Pandora (설계자)