Addendum: A Bridge Model Connecting Geometric Entropy (FPISBS) and First-Passage Dynamics (EPFPM)

A bridge model that outlines a minimalist theoretical model designed tobridge two novel, independently developed frameworks for the quantum to classical transition: the Finite Path Integrals on StochasticBranched Structures (FPISBS) model and the Event Driven First PassageModel (EPFPM). The former provides a geometric and entropicbasis for why collapse occurs, while the latter offers a statistical andoperational description of how and when it manifests. We demonstratethat the core statistical functions of the EPFPM can be derivedas emergent properties of the foundational entropic principles of theFPISBS, suggesting a deep and compelling synthesis between the twoapproaches.