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MFO research notes

Working-notes companion to the MFO Spectral Research Notebook. Each artifact records a research spike or concertmaster dispatch that fed substantive content back into the notebook itself.

Investigation findings

Date Artifact Scope
2026-05-16 dark_sector_substrate_internal_time_2026-05-16.md SSoT verification of the 95% dark / 5% visible partition (PDG 2024, Planck 2018 VI, DESI 2024–25); three readings of the substrate-internal-time conjecture; inverse-age-scale supplement. Fed §VII.6.1 of the notebook (substrate-internal time and the visible/dark partition).
2026-05-11 particle_matter_wave_vs_field_investigation_findings.md Test of the user's particle-matter-wave-vs-field ontological dichotomy. Resolves the prior "two operators under one English phrase" anomaly via two operators on two ontologically distinct domains. Formalised the §VII.1.1 two-level ontology.
2026-05-11 spherical_compression_investigation_findings.md Project-canonical operator audit of "spherical compression." Verdict: correct for MFO Phase C bipolar BIP at D=512; partially-correct via different mechanism for chess-spectral qm_2d / qm_4d; plural HDC architectures. Fed §VII.4.1.1 (Hopf-bundle / spherical-compression reading).
2026-05-11 graph_laplacian_hyperring_investigation_findings.md Three-layer test connecting hyperring / hypertorus framing to graph-Laplacian primitives. Refines the "hyper = 3D-spatial-interface" boundary line. Fed §VII.4.1.2 (Casimir-decomposition universality).

The Axis-of-Evil / hyperbubble-bump / dark-sector-oscillation working note (axis_of_evil_ring_down_framing_2026-05-16.md, Parts I–VI) is currently in flight via PR #437; it will land in this directory when that PR merges and feeds §VII.6.3 + §VII.6.3.1 of the notebook.

Supporting scripts and data

mpm_*.py modules are MPM (Mathematical Provenance Method) phase scripts and surveys feeding the Phase A / B / C / D investigations. They are research tooling, not user-facing narrative — runnable as python -m modules from this directory but the load-bearing claims live in the .md findings above.

mfo_mpm_notes.ndjson is the cumulative NDJSON log of MPM-anchored observations across the phase scripts.

How to use this directory

  • Reading order: start with the MFO notebook; come here when a notebook section references a research-mfo/...md artifact and you want the full empirical workings + falsifier discussion.
  • Citation discipline: every artifact verifies cited papers via PDF extraction per [[feedback_pdf_extraction_citation_discipline]]. Six citation catches across the 2026-05 research run are recorded across the artifacts.
  • Epistemic posture: every load-bearing claim is framed as a candidate under MFO commitments per [[feedback_no_lineage_claims_in_notebook]] — not endorsed over alternatives without further empirical convergence.

Cross-references