MagnetoHydroDynamic Research: Version 1.0.0

MagnetoHydroDynamic Research v1.0.0 — Theory-First Research Program Release

This release marks the first public version of the repository in its current research-program form.

It shifts the project away from a loose toolkit presentation and into a clearer theory-first structure centered on closure questions, symbolic verification, explicit limits, and reproducible checks.

Why this release matters

• The strongest exact and symbolically verified results are now easy to find.
• The variable-resistivity obstruction is surfaced clearly instead of being buried in notes.
• The repository now separates core closure theory from the Topological Adam bridge work.
• Reproducible validation and proof-status documents are part of the main path.

Included in v1.0.0

1. A theory-first repository structure

• start-here and strongest-results documents
• proof-status map and derivation notes
• canonical discovery documents
• final report and file index for orientation

2. Stronger symbolic closure program

• reusable symbolic closure module
• canonical symbolic report output
• CLI research entry point for symbolic checks
• symbolic regression tests for exact and obstruction cases

3. Clearer mathematical picture

Strongest current results include:

• exact cylindrical families under constant resistivity
• the conditional exactness result for alpha = f(r), beta = theta
• explicit obstruction of broad smooth exact families under variable eta(r)

4. Controlled cross-repository bridge

• the relationship to Topological Adam is retained
• it is now clearly presented as a secondary applied branch rather than the main identity of this repository

Reader entry points

• Start here: docs/overview/start-here.md
• Strongest results: docs/overview/strongest-results.md
• Reproduce key checks: docs/overview/reproduce-key-checks.md
• Proof status: docs/theorems/proof_status.md

Validation snapshot

• pytest: 18 passed
• research validation script: pass
• symbolic reports regenerated successfully

Honest scope

This release does not claim to be a finished closure theory for general resistive MHD.

What it does claim:

• the cylindrical exact-family picture is materially clearer than before
• the variable-resistivity obstruction is now part of the main public story
• the symbolic research layer is reproducible and test-backed

What remains open:

• perturbative closure corrections for slowly varying eta(r)
• broader exact-family criteria beyond the current cylindrical families
• stronger numerical ties between symbolic obstruction formulas and simulation behavior