Bimetric Scalars and Chaos–Polytope Facets: A Short Bridge Note

We outline a minimal correspondence between the bimetric scalar field Φ introduced by Burkeen et al. and the tension geometry of the Chaos–Polytope developed in our recent work (Zenodo 10.5281/zenodo.15775498). The mapping Φ ≡ |∇T| identifies the Burkeen “Φ–snap” junctions (critical stability points where temporal dynamics lock) with k = 3, 4 positive–Grassmannian facets. This bridge delivers (i) a unified energy–gap formula that reproduces both the BCS value 2∆ for niobium loops and the DNA torque threshold reported by Burkeen, and (ii) a joint experimental agenda spanning nano–SQUID β–drift and LIGO echo searches. The note is self–contained and limited to four pages.