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

Authors: Osborne, John Francis;

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

Abstract

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.

This analysis is a companion to the triplicate, constraint-level resolution of the Mott problem, where the symmetry-viability, track-stability, and localisation-admissibility functionals are formally defined and derived in full: Osborne, J. F. (2025). A Constraint Level Triplicate Closure of the Mott Problem (v1.1). Zenodo. https://doi.org/10.5281/zenodo.18155286

Keywords

constraint architecture, quantum measurement, Mott problem, stress testing, boundary stabilization, quantum foundations, collapse interpretations, Triplicate Closure, symmetry viability, redistribution dynamics, robustness analysis, ψ₀-OCM, localisation admissibility, Osborne Cosmological Model, emergent classicality, track stability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green