Stability, Symmetry, and Correspondence: Classical and Quantum Theories as Limiting Behaviour of ψ₀–OCM (v1.0)

Modern physics contains several highly successful theories that describe different regimes of behaviour with impressive precision. Classical mechanics, quantum theory, general relativity, and fluid dynamics each work reliably within their domains, but they do not explain why their particular structures arise, why they stabilize, or why related organizational motifs reappear across scales. This paper introduces ψ₀–OCM (Osborne Cosmological Model) as a parent architecture in which familiar equations are interpreted as stabilized limits of deeper redistributive dynamics governed by active boundaries, symmetry constraints, and detachment structure. Rather than replacing existing theories, ψ₀–OCM clarifies the conditions under which they emerge and the regimes where they may cease to apply in their conventional form. The framework is developed at a schematic level, using a bulk–boundary action structure, a redistribution continuity relation, and node dynamics evolving in ψ₀–time. Within this structure, standard theories are recovered through explicit correspondence mappings. Newtonian dynamics, Bernoulli flow relations, Schrödinger evolution, Noether currents, and the Einstein field equations arise as stabilized limits when boundary exchange is suppressed and invariants lock. Conservation laws and physical constants are recast as redistribution invariants rather than primitive axioms. This paper develops the architectural logic that connects these results, providing the structural backbone for related publications on redistribution invariants, particle stabilization, missing sector signatures, and active horizon behaviour. It is intended as a unifying framework that precedes more detailed technical development.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-31
DOI
https://doi.org/10.5281/zenodo.18102278
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

Stability, Symmetry, and Correspondence: Classical and Quantum Theories as Limiting Behaviour of ψ₀–OCM (v1.0)

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

Stability, Symmetry, and Correspondence: Classical and Quantum Theories as Limiting Behaviour of ψ₀–OCM (v1.0)

John Francis Osborne
article en

Abstract

Modern physics contains several highly successful theories that describe different regimes of behaviour with impressive precision. Classical mechanics, quantum theory, general relativity, and fluid dynamics each work reliably within their domains, but they do not explain why their particular structures arise, why they stabilize, or why related organizational motifs reappear across scales. This paper introduces ψ₀–OCM (Osborne Cosmological Model) as a parent architecture in which familiar equations are interpreted as stabilized limits of deeper redistributive dynamics governed by active boundaries, symmetry constraints, and detachment structure. Rather than replacing existing theories, ψ₀–OCM clarifies the conditions under which they emerge and the regimes where they may cease to apply in their conventional form. The framework is developed at a schematic level, using a bulk–boundary action structure, a redistribution continuity relation, and node dynamics evolving in ψ₀–time. Within this structure, standard theories are recovered through explicit correspondence mappings. Newtonian dynamics, Bernoulli flow relations, Schrödinger evolution, Noether currents, and the Einstein field equations arise as stabilized limits when boundary exchange is suppressed and invariants lock. Conservation laws and physical constants are recast as redistribution invariants rather than primitive axioms. This paper develops the architectural logic that connects these results, providing the structural backbone for related publications on redistribution invariants, particle stabilization, missing sector signatures, and active horizon behaviour. It is intended as a unifying framework that precedes more detailed technical development.

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