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 (T_ZZ=0.08) and off-diagonal couplings (T_YZ=0.08, T_XZ=-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)- z_mean = 0.4302 (series maximum, +1.1% over v30)- y↔z correlation = 0.1893 (structural coupling confirmed)- T_XZ = -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)