Navier–Stokes Equations as Stability and Breakdown of Admissible Structure: A Structural Placement within the Paton System
Year: 2026
Type: article
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.
Author: Paton, Andrew John
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7141804652
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