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
- Benjamin Frohman (ORCID: https://orcid.org/0009-0006-7068-3718)
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