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The Riemann Hypothesis via Self-Adjoint Spectral Persistence

Canonical Lane (defined term): the manifold-constrained local-to-global closure architecture for the RH program.

Canonical Lane research workspace for the Millennium Problem:

the distribution of the nontrivial zeros of the Riemann zeta function on the critical line.

Main Manuscript

Structure

  • paper/

    • RH_SELF_ADJOINT_PERSISTENCE_PREPRINT.md
  • notes/

    • EG1_public.md
    • EG2_public.md
    • EG3_public.md
    • EG4_public.md
    • IDENTIFICATION_BRIDGE.md
  • repro/

    • REPRO_PACK.md
    • THIRD_PARTY_RERUN_PROTOCOL.md
    • run_repro.sh
    • repro_manifest.json
    • certificate_baseline.json
  • scripts/

    • extract_constants.py
    • promote_constants.py
    • rh_closure_drift_guard.py
    • rh_closure_registry.py
    • rh_closure_target_calculator.py
    • extract_rh_e3_margin.py
    • rh_formalism_guard.py
    • update_manifest.py
    • verify_manifest.py
  • artifacts/

    • constants_extraction_inputs.json
    • constants_extracted.json
    • constants_registry.json
    • stitch_constants.json
    • promotion_report.json

Local Repro Command

bash repro/run_repro.sh

This refreshes the extracted/pro promoted constants and writes repro/certificate_runtime.json.

How To Read This Professionally

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

Current RH runner policy:

  • repro/run_repro.sh executes extract -> promote -> native drift guard -> manifest verify.
  • repro/run_repro.sh executes extract -> promote -> native drift guard -> manifest refresh -> manifest verify.
  • The RH drift guard remains the final gate evaluator; the extraction layer standardizes constants provenance without changing gate logic.

Citation

Authorship

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

About

The Riemann Hypothesis via self-adjoint spectral persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

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