One proof spine
A compact manuscript states the global regularity route and points to the exact dependencies.
Independent researcher
Navier-Stokes regularity through cascade-route exclusion.
This page collects my journal-facing proof manuscript, the three companion manuscripts behind it, and the public certificate archive used to audit the finite checks.
Current status
Submitted to Annals of PDE; technical checks passed; awaiting editorial assignment.
Three companion manuscripts
The companion papers carry the phase portrait, spectral taxonomy, and dynamic route-exclusion machinery.
Public certificate archive
The finite checks are separated into an auditable public repository rather than hidden inside prose.
Proof architecture
How the package is organized
The page is meant to be a reader map, not a replacement for the manuscripts. A referee or collaborator can start with the compact manuscript, then open only the companion paper or certificate archive needed for a specific dependency.
Reduce the PDE danger signal
Paper I isolates the scalar enstrophy phase portrait and the safe-basin mechanism.
Classify the coupling geometry
Paper II organizes trilinear interactions into shell and annular structures that can be audited.
Rule out persistent dangerous routes
Paper III supplies the dynamic alignment and row-exhaustion machinery used by the compact proof.
Expose finite checks
The public archive provides the supporting finite certificates and reproduction notes.
Visual intuition
Images are orientation, not evidence
These visuals are included to give non-specialist readers a feel for the research program: hidden structure inside turbulent behavior, and a disciplined route-audit rather than an unrestricted numerical search. The mathematical claims are made only in the manuscripts and certificate archive.
Hidden order
Structure Inside Turbulence
The research program studies how apparently chaotic cascade behavior can be organized into auditable spectral structure.
Route audit
Route Exclusion
Finite certificates and dynamic route analysis are used to isolate which cascade paths can persist and which must defect.
Reader map
Fastest route through the material
Start with the proof spine
The compact manuscript gives the shortest route through the global regularity argument and points to the exact supporting dependencies.
Open compact manuscript PDFUse the companion papers as the ledger
The companion manuscripts contain the phase portrait, spectral taxonomy, dynamic route exclusion, and supporting theorem structure.
Go to manuscript packageCheck the finite certificates
The certificate archive provides the public audit trail for the finite checks used by the proof package.
Open certificate archiveNavier-Stokes program
Manuscript package
The PDF links open the actual paper files. The DOI links point to the corresponding OSF project records for citation and archival context.
Submitted manuscript
Companion I
Companion II
Companion III
Audit trail
Code and certificate archive
The public archive contains certificate data, reproduction notes, and supporting files for the finite checks cited by the manuscripts. It is linked as an audit record, not as a substitute for the written proof.
GitHub
cammackj/ns-enstrophy-certificates
Frozen certificate reference cited by the submitted package: paper3-certificates-v2.2.
Profile
Research areas
About
Independent researcher working on Navier-Stokes regularity, spectral cascade geometry, turbulence diagnostics, and computational certificate frameworks. Admitted to Boise State University for the B.S. in Computer Science, Machine Learning Emphasis. Professional software engineer since 2017, with prior training in electrical engineering and communications technology. Cammack Consulting LLC is my software consulting business; the manuscripts listed here are independent research.
- ORCID
- 0009-0006-0482-4893
- admin@cammackco.com