Continuity Equation as Admissible Persistence: A Structural Placement within the Paton System

This paper clarifies the structural role of the continuity equation within the Paton System. Without introducing new physical laws or modifying conservation principles, the equation is interpreted as governing admissible persistence of structure under flow. Rather than representing static conservation, the continuity equation is placed as a mechanism describing how admissible structure is maintained through transformation. This interpretation separates persistence from stasis while remaining fully consistent with established physical formalism.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-28
DOI
https://doi.org/10.5281/zenodo.19278195
Primary Topic
Heat Transfer and Numerical Methods
Type
article
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article

Continuity Equation as Admissible Persistence: A Structural Placement within the Paton System

Andrew John Paton
Zenodo (CERN European Organization for Nuclear Research)
Heat Transfer and Numerical Methods
article

Continuity Equation as Admissible Persistence: A Structural Placement within the Paton System

Andrew John Paton
article en

Abstract

This paper clarifies the structural role of the continuity equation within the Paton System. Without introducing new physical laws or modifying conservation principles, the equation is interpreted as governing admissible persistence of structure under flow. Rather than representing static conservation, the continuity equation is placed as a mechanism describing how admissible structure is maintained through transformation. This interpretation separates persistence from stasis while remaining fully consistent with established physical formalism.

Zenodo (CERN European Organization for Nuclear Research)
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Openalex Percentile: Top 3%
Heat Transfer and Numerical Methods
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Continuity Equation as Admissible Persistence: A Structural Placement within the Paton System — Andrew John Paton · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS