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3D Navier-Stokes Global Regularity via Dissipative Persistence

Canonical Lane (defined term): the manifold-constrained local-to-global closure architecture (NS1–NS8).

Canonical Lane research workspace for the Millennium problem:

the global existence and smoothness of solutions to the 3D incompressible Navier–Stokes equations.

Main Manuscript

Structure

  • paper/: main theorem architecture (NS1–NS8 chain).
  • notes/: closure notes (EG1EG4) + identification bridge.
  • repro/: local certificate workflow and rerun protocol.
  • scripts/: local guard and extraction scripts.
  • artifacts/: constants registries and stitched constants.

Local Reproducibility Command

bash repro/run_repro.sh

This writes repro/certificate_runtime.json.

How To Read This Professionally

  1. Theorem chain first: read paper/NAVIER_STOKES_SMOOTHNESS_PREPRINT.md.
  2. Constants provenance second: audit paper/EXTRACTION_SPEC.md, artifacts/constants_extraction_inputs.json, artifacts/constants_extracted.json, and artifacts/promotion_report.json.
  3. Pipeline third: run bash repro/run_repro.sh to audit hashes/provenance/gates; it is reproducibility infrastructure, not theorem generation.

Release modes:

  • normalized: status=normalized_placeholder allowed when explicitly labeled.
  • fully_extracted: requires status=derived_numeric for all required constants/stitch keys.

Current NS runner policy:

  • repro/run_repro.sh enforces fully_extracted mode.

Citation

Authorship

  • Program author: HautevilleHouse
  • Canonical attribution source: CITATION.cff

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3D Navier-Stokes global regularity via dissipative persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

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