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This research aims to resolve the Navier-Stokes existence and smoothness problem through the Order Parameter Spacetime Theory.

July 28, 2026Open Access

Geometric Origin of Fluid Turbulence from Order Parameters — A Physical Resolution of the Navier–Stokes Smoothness Problem

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Presents a resolution to the Navier-Stokes smoothness problem in fluid dynamics, suggesting singularities are physically impossible.

This research aims to resolve the Navier-Stokes existence and smoothness problem through the Order Parameter Spacetime Theory.
Presented a theoretical framework involving the information dissipation tensor
Demonstrated the adaptive behavior of the tensor under increasing velocity gradients
Analyzed the implications for the Navier-Stokes equations regarding singularity formation
Proposed that the information dissipation tensor prevents the formation of singularities in fluids
Demonstrated a correlation between the behavior of the information dissipation tensor and the Kolmogorov −5/3 scaling law in turbulence
Concluded that classical Navier-Stokes equations fail to account for the necessary adaptive mechanisms

涛翟 (2026) studied this question.

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