Navier–Stokes Equations as Stability and Breakdown of Admissible Structure: A Structural Placement within the Paton System

This paper clarifies the structural role of the Navier–Stokes equations within the Paton System. Without introducing new physical laws or attempting to solve the equations, they are interpreted as describing the stability and breakdown of admissible structure under constraint-driven flow. Rather than representing fluid motion alone, the equations are placed as defining the boundary between stable persistence and instability within evolving systems. This interpretation resolves ambiguity surrounding turbulence by framing it as structural breakdown rather than randomness, while remaining fully consistent with established physical formalism.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-28
DOI
https://doi.org/10.5281/zenodo.19278521
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
0.00
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article

Navier–Stokes Equations as Stability and Breakdown of Admissible Structure: A Structural Placement within the Paton System

Andrew John Paton
Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Dynamics and Pattern Formation
article

Navier–Stokes Equations as Stability and Breakdown of Admissible Structure: A Structural Placement within the Paton System

Andrew John Paton
article en

Abstract

This paper clarifies the structural role of the Navier–Stokes equations within the Paton System. Without introducing new physical laws or attempting to solve the equations, they are interpreted as describing the stability and breakdown of admissible structure under constraint-driven flow. Rather than representing fluid motion alone, the equations are placed as defining the boundary between stable persistence and instability within evolving systems. This interpretation resolves ambiguity surrounding turbulence by framing it as structural breakdown rather than randomness, while remaining fully consistent with established physical formalism.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 3%
Nonlinear Dynamics and Pattern Formation
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