Frohman's Triple Regularization Framework: Symplectic Tether, Metriplectic Dissipation, and Holographic Gravity as a Research Program for Navier–Stokes Regularity

Completed write-up of the author's draft "Frohman's Triple Regularization Framework" (Google Drive file main (3).tex, last modified 2 May 2026, 7:28 PM US Central). It states the Frohmanian Symplectic Tether, Metriplectic Regularization and Holographic Dual Regularization ideas as named hypotheses and conjectures. Proved here: a Riccati comparison lemma, a conditional regularity corollary obtained through Beale–Kato–Majda, and a divergence identity that corrects the draft's extended Clebsch representation. This does not resolve the Navier–Stokes existence and smoothness problem. Related records: 10.5281/zenodo.23904623, 23906579, 23930085, 23629499, 21856430. The untouched original draft of 2 May 2026 is preserved as its own record: 10.5281/zenodo.23964320. The files triple_regularization_v2.pdf/.tex are the current text and cite it. The files triple_regularization.pdf/.tex are the first staged copy, identical except that they lack this citation.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23963617
Primary Topic
Navier-Stokes equation solutions
Type
preprint
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preprint

Frohman's Triple Regularization Framework: Symplectic Tether, Metriplectic Dissipation, and Holographic Gravity as a Research Program for Navier–Stokes Regularity

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

Frohman's Triple Regularization Framework: Symplectic Tether, Metriplectic Dissipation, and Holographic Gravity as a Research Program for Navier–Stokes Regularity

Benjamin Frohman
preprint en

Abstract

Completed write-up of the author's draft "Frohman's Triple Regularization Framework" (Google Drive file main (3).tex, last modified 2 May 2026, 7:28 PM US Central). It states the Frohmanian Symplectic Tether, Metriplectic Regularization and Holographic Dual Regularization ideas as named hypotheses and conjectures. Proved here: a Riccati comparison lemma, a conditional regularity corollary obtained through Beale–Kato–Majda, and a divergence identity that corrects the draft's extended Clebsch representation. This does not resolve the Navier–Stokes existence and smoothness problem. Related records: 10.5281/zenodo.23904623, 23906579, 23930085, 23629499, 21856430. The untouched original draft of 2 May 2026 is preserved as its own record: 10.5281/zenodo.23964320. The files triple_regularization_v2.pdf/.tex are the current text and cite it. The files triple_regularization.pdf/.tex are the first staged copy, identical except that they lack this citation.

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