Metriplectic Completion of the Frohmanian Symplectic Tether: Thermodynamic Structure and Lean Formalization for the Navier–Stokes Equations

We construct a metriplectic completion of the Frohmanian Symplectic Tether on SDiff(T³). Includes abstract algebraic formalization in Lean 4 of energy conservation, entropy production, and the damping obstruction. Compatible with existing conditional Frohmanian Tether formalization. Not a solution of the Clay problem. Part of the ongoing Frohmanian Symplectic Tether program.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-10
DOI
https://doi.org/10.5281/zenodo.24121041
Primary Topic
Navier-Stokes equation solutions
Type
preprint
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preprint

Metriplectic Completion of the Frohmanian Symplectic Tether: Thermodynamic Structure and Lean Formalization for the Navier–Stokes Equations

Benjamin Frohman
Zenodo (CERN European Organization for Nuclear Research)
Navier-Stokes equation solutions
preprint

Metriplectic Completion of the Frohmanian Symplectic Tether: Thermodynamic Structure and Lean Formalization for the Navier–Stokes Equations

Benjamin Frohman
preprint en

Abstract

We construct a metriplectic completion of the Frohmanian Symplectic Tether on SDiff(T³). Includes abstract algebraic formalization in Lean 4 of energy conservation, entropy production, and the damping obstruction. Compatible with existing conditional Frohmanian Tether formalization. Not a solution of the Clay problem. Part of the ongoing Frohmanian Symplectic Tether program.

Zenodo (CERN European Organization for Nuclear Research)
Navier-Stokes equation solutions
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Metriplectic Completion of the Frohmanian Symplectic Tether: Thermodynamic Structure and Lean Formalization for the Navier–Stokes Equations — Benjamin Frohman · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS