Correspondence Limits and Breakdown Regularization in the ψ₀-OCM (Osborne Cosmological Model)

This paper examines the correspondence limits of the ψ₀-OCM and identifies the regimes in which standard physical theories remain valid, fail, or require structural extension. Rather than rejecting existing frameworks, the analysis treats general relativity, quantum theory, conservation laws, and cosmological models as partial descriptions that apply only inside specific stability domains. Breakdown regimes — including singularities, horizon interfaces, nonlocal redistribution, collapse conditions, and temporally undefined regions — are analysed as signalling the absence of viable governing constraints rather than physical paradoxes. The ψ₀-OCM introduces a regularisation architecture based on redistribution dynamics, holographic boundary mediation, and constraint-level admissibility conditions, allowing these regimes to be reformulated without invoking infinite quantities or ad-hoc collapse mechanisms. The correspondence analysis demonstrates that standard theories reappear as limiting cases wherever detachment remains stabilised and redistribution flows become effectively locked. Outside those domains, ψ₀-time ordering, boundary-coupled curvature, and constraint-driven stabilisation supply the additional structure required to maintain physical coherence. The result is not a replacement of existing science, but a framework clarifying where each theory applies, why breakdown occurs, and how those breakdowns may be regularised within a unified redistribution-based model.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-25
DOI
https://doi.org/10.5281/zenodo.18054801
Primary Topic
Cosmology and Gravitation Theories
Type
article
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article

Correspondence Limits and Breakdown Regularization in the ψ₀-OCM (Osborne Cosmological Model)

John Francis Osborne
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Correspondence Limits and Breakdown Regularization in the ψ₀-OCM (Osborne Cosmological Model)

John Francis Osborne
article en

Abstract

This paper examines the correspondence limits of the ψ₀-OCM and identifies the regimes in which standard physical theories remain valid, fail, or require structural extension. Rather than rejecting existing frameworks, the analysis treats general relativity, quantum theory, conservation laws, and cosmological models as partial descriptions that apply only inside specific stability domains. Breakdown regimes — including singularities, horizon interfaces, nonlocal redistribution, collapse conditions, and temporally undefined regions — are analysed as signalling the absence of viable governing constraints rather than physical paradoxes. The ψ₀-OCM introduces a regularisation architecture based on redistribution dynamics, holographic boundary mediation, and constraint-level admissibility conditions, allowing these regimes to be reformulated without invoking infinite quantities or ad-hoc collapse mechanisms. The correspondence analysis demonstrates that standard theories reappear as limiting cases wherever detachment remains stabilised and redistribution flows become effectively locked. Outside those domains, ψ₀-time ordering, boundary-coupled curvature, and constraint-driven stabilisation supply the additional structure required to maintain physical coherence. The result is not a replacement of existing science, but a framework clarifying where each theory applies, why breakdown occurs, and how those breakdowns may be regularised within a unified redistribution-based model.

Zenodo (CERN European Organization for Nuclear Research)
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Cosmology and Gravitation Theories
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