ECM Field Simulation — Kinesin Trafficking & Coherence

Extracellular matrix field simulation. Models coherence-driven kinesin trafficking at Pe=2.02 (r=75nm), cancer as ECM template collapse, and causality inversion: field → tether → cell.

Biological Péclet Number Pe = 2.02

The biological Péclet number Pe = vL/D where v is kinesin motor velocity, L is cargo size, D is diffusion coefficient. At r = 75 nm: Pe = 2.02 (templating regime). Pe crosses 1 at r ≈ 107 nm. Pe is x_m-independent — it depends only on k = 1.92 and the biological geometry parameters.

Cancer as ECM Template Collapse

Framework prediction (Paper VIII): cancer is not primarily a motor dysfunction (conventional model) but an ECM template collapse. Causality inversion: field → tether → cell. The coherence field organizes the ECM template; when the template collapses (SHG-C < 0.70), kinesin motors lose their templating reference and begin ballistic diffusion (Pe < 1), producing the uncontrolled proliferation phenotype.

Falsifiable: SHG imaging of ECM in pre-cancerous tissue should show coherence deficit before any cellular motor abnormality is detectable. This is the causality inversion prediction.