This model demonstrates fluid flow as structural recursion, suggesting a new view on Navier–Stokes equations and temporal analysis.
This paper presents the Non-Temporal Fluid Structural Theory (NFT) and its extension through the Temporal Projection Model (TPM), offering a structural reinterpretation of fluid motion and the Navier–Stokes equations. NFT reconceives fluid flow not as a process unfolding through time but as a self-sustaining structural recursion within a non-temporal equilibrium field. The Temporal Projection Model reintroduces time as a coordinate-level transformation of non-temporal recursion rather than as a fundamental physical variable. Through this projection, the NFT structural equilibrium is shown to correspond directly to the continuity and momentum equations of the Navier–Stokes system. The central result is a structural correspondence theorem: if NFT's recursive convergence holds globally, smooth and globally regular solutions to the Navier–Stokes equations follow as a structural necessity. This reframes the conditions of fluid regularity from temporal analysis to structural convergence theory. Related updates may be available at: patreon.com/NMStructuralTheoryLab
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Yugo Matsumoto (2025) studied this question.
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