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Fundamental theories of physics

Presentation of Collapse Models

Luca Ferialdi

Published Oct 2, 2020• 0 citations
Publisher
DOI
10.1007/978-3-030-46777-7_4

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Abstract This is an extended discussion of Ref. [1], presenting a nonlinear dynamical model of quantum collapse, with randomness emerging from self-generated noise. Here we focus on a few issues: 1) the way chaos theory explains “deterministic but unpredictable” as a generic feature of nonlinear dynamics; 2) a new argument about why Bell-CHSH and GHZ experiments confirm quantum mechanics; 3) a discussion of why the heating effect predicted by CSL-type theories is not expected to happen according to our approach; 4) in looking for direct-product solutions of our nonlinear Von Neumann equation, we use a parametrization different from that used in Ref. [1], allowing better insight to the locality issue.

arXiv:1909.08908•Journal of Physics Conference Series•Sep 1, 2019•1 citation
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.
Abstract This is an extended discussion of Ref. [1], presenting a nonlinear dynamical model of quantum collapse, with randomness emerging from self-generated noise. Here we focus on a few issues: 1) the way chaos theory explains “deterministic but unpredictable” as a generic feature of nonlinear dynamics; 2) a new argument about why Bell-CHSH and GHZ experiments confirm quantum mechanics; 3) a discussion of why the heating effect predicted by CSL-type theories is not expected to happen according to our approach; 4) in looking for direct-product solutions of our nonlinear Von Neumann equation, we use a parametrization different from that used in Ref. [1], allowing better insight to the locality issue.