Phenomenological Bridges: Route-Cost Correspondences with Quantum, Gravitational, and Cosmological Observables

Finite Possibility Mechanics supplies one microscopic accounting structure: a bounded directed route ledger, a constitutive viscosity field, a finite action budget, and local signed conservation. This paper develops the physical bridge layer that maps those internal quantities to established observables. The bridges cover pure dephasing, Landauer erasure, gravitational response, time dilation, cosmic acoustic structure, finite Born weights, Bell/CHSH correlations, and a bare electromagnetic coupling. The paper distinguishes identities, correspondences, calibrations, and predictions. Its strongest present results are exact correspondence identities and fixed-form numerical audits; its decisive next tests concern tensor galaxy morphology, complete cosmological likelihoods, resource-dependent Bell correlations, and the observable meaning of the finite lag ceiling.