Published March 28, 2026 | Version v1.0

Turbulence as a Developmental Geometry: A Structural Reformulation of the Vorticity–Stretching Mechanism

Authors/Creators

Description

This deposit contains a structural correspondence between the vorticity‑stretching mechanism of the Navier–Stokes equations and the balance law of Developmental Geometry. The manuscript establishes two equivalences—the unique curvature–scale coupling and the quadratic propagation cone—and formulates two conjectural correspondences involving the dissipation anomaly and the unattainability of infinite cascade. The correspondence is geometric rather than interpretive: both systems are governed by a quadratic cone, a linear remaining budget, and a unique curvature–scale coupling. The document is a working preprint whose purpose is structural clarity and timestamped preservation.

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Turbulence_as_a_Developmental_Geometry__A_Structural_Reformulation_of_the_Vorticity_Stretching_Mechanism (1).pdf

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Related works

Cites
10.1098/rspa.1991.0075 (DOI)
10.1007/BF02780991 (DOI)
10.1007/BF01212349 (DOI)
ISBN 0-521-45103-5 (Other)

Dates

Submitted
2026-03-28

References

  • R.~A.~Moser, \emph{[Title]}, Zenodo (2026), \url{https://doi.org/10.5281/zenodo.[ID]}.