PHILIA-EcoSensory Swarm v36-v37: From Agility Boundary to Input Bandwidth Limitation — A Complete Structural Diagnosis of Router Dynamics

This paper presents PHILIA-EcoSensory Swarm v36-v37, a unified experimental arc establishing a complete structural diagnosis of Router dynamics in the PHILIA dual-attractor system (19 configurations, 5 seeds × 80, 000 steps each). v36 established the Agility Boundary: Router weight variance (wₛtd) is parameter-invariant within 0. 013–0. 022 across λ, b, and kcouple sweeps — Dynamic Homeostasis confirmed. The working hypothesis was that EMA smoothing constitutes the structural bottleneck. v37 systematically falsified this hypothesis through four independent mechanisms (Varwindow reduction, acoef sweep, Gaussian noise injection, adaptive λ). The central finding is a paradigm shift: Router dynamics are input-limited, not filter-limited. The system behaves as a first-order low-pass controlled dynamical system whose upstream signals (varᵢnput, zₘean, cpuₗoad) are inherently quasi-static. Core claim: if BW (xₜ) → 0, then BW (wₜ) → 0, independent of λ. EMA becomes functionally redundant not as a design choice, but as a consequence of input spectral collapse. This work demonstrates a general principle: in input-driven control systems, dynamical richness is bounded not by the controller, but by the spectral content of the driving signal. Best configuration: S1-A25 (acoef=2. 5): F5'=0. 00852, Omegaₙatural=0. 9109. S3-ALAM achieves wₘean=0. 6340 (|Δ|=0. 0000), the most precise eigenstate in the series. v38 targets derivative injection and dual-channel Router to generate input-level high-frequency components. Research arc: v34 (phase-space map) → v35 (locomotion engine) → v36 (agility boundary) → v37 (root-cause diagnosis) → v38 (navigator). All experiments executed locally on AMD Ryzen 7 9800X3D, RTX 4080 SUPER 16GB, DDR5 32GB. No AI-generated numerical values used. Trinity AI Research Team | Description, not Proof. — PHILIA OS | 0∞1∞0. 5∞