Constraint-Level Closure of the Mott Problem: Related Work and Collapse-Model Stress Test
John Francis Osborne
This paper accompanies the public presentation of a triplicate, constraint-level resolution 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 are 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 symmetry viability, path-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 is intended to clarify the relationship between the constraint architecture and existing theories, providing a companion reference to the triplicate resolution paper and situating the approach within broader work on quantum foundations and measurement.
•Dec 25, 2025•0 citations