Independent research programs

Mathematical structure, audited computation, and source-controlled claims.

This page is the long-term index for my independent research programs. Each program has its own dedicated page, public archive, and claim boundary rather than being folded into one mixed research profile.

Navier-Stokes program Divine Names program
Research posture

Exact calculations first. Reproducible records second. Interpretation only after the object is nailed down.

1

Program pages

Each research direction gets a dedicated page with status, sources, outputs, and limits.

2

Public records

Manuscripts, repositories, DOI records, and certificate archives are linked directly where available.

3

Claim boundaries

The pages distinguish proven calculations, computational audits, interpretation, and open questions.

Research programs

Current program index

These are active or public research programs. The structure is meant to scale as new programs mature without flattening everything into a single list of links.

PDE / fluid dynamics / certificates

Navier-Stokes Regularity via Cascade-Route Exclusion

A multi-manuscript program on periodic three-dimensional Navier-Stokes regularity, spectral cascade geometry, dynamic route exclusion, and public finite-check certificates.

  • Submitted compact manuscript
  • Three companion papers
  • Public certificate archive
Program page Compact DOI

Textual computation / Hebrew arithmetic

Divine Names Numerical Architecture

A working paper and reproducibility package studying divine-name structures across Hebrew source forms, canonical Tanakh witnesses, and Christian-comparative material through gematria, base-12 conversion, palindrome structure, source correction, and matched controls.

  • Zenodo working paper v1.1.0
  • Source-audited registry
  • Reproducible scripts and data
Program page Working paper DOI

Profile

Research areas

  • Navier-Stokes equations
  • Fluid dynamics
  • Turbulence
  • Partial differential equations
  • Spectral methods
  • Fourier analysis
  • Computational certificates
  • Scientific computing
  • Hebrew textual computation
  • Source-controlled audit trails

About

Independent researcher working across mathematical structure, computational verification, and source-controlled research programs. Structured Dynamics is the public home for my consulting and research-facing work; the research listed here is independent research.

ORCID
0009-0006-0482-4893
Email
admin@cammackco.com