Constraint-Level Closure of the Mott Problem: Related Work and Collapse-Model Stress Tests

This paper accompanies the public presentation of a triplicate, constraint-level closure of the Mott problem. It surveys leading approaches to track formation — including Copenhagen-type interpretations, Everettian frameworks, decoherence accounts, and objective collapse models — and evaluates the extent to which each addresses single-outcome admissibility, track stability, and localisation.

The analysis shows that while existing approaches successfully reproduce the phenomenology of cloud-chamber tracks, they do so by introducing additional interpretive or dynamical postulates rather than identifying the minimal constraint conditions under which definite outcomes become licensed. A formal stress test is then developed, demonstrating that any objective collapse model capable of reproducing Mott phenomenology must implicitly encode constraint structures equivalent to the symmetry-viability, track-stability, and localisation-admissibility functionals.

These results position the constraint-level framework, developed within the ψ₀-OCM (Osborne Cosmological Model), as logically minimal and structurally independent of specific collapse dynamics. The paper clarifies how the constraint architecture relates to existing theories and serves as a companion reference to the triplicate closure paper, situating the approach within wider work on quantum foundations and measurement.