CoherenceResearchCollaboration

Coherence Research Collaboration Archive

Research archive and reproducibility materials for Kelly B. Heaton / Lucerna Veritas

This repository preserves public research releases, machine-readable paper conversions, selected reproducibility materials, and the historical record of an evolving human–AI research program.

The current research home is:

Lucerna Veritas
https://www.lucernaveritas.ai/

Essays and public reflections are published at:

The Coherence Code
https://www.thecoherencecode.com/

Kelly B. Heaton’s artwork and studio practice are documented at:

Kelly Heaton Studio
https://www.kellyheatonstudio.com/


Current status

This repository is an active research archive, not the current claim ceiling of the program.

Earlier papers and code remain public because the research process itself is part of the record: the insights, errors, revisions, audits, and failures are central to the work. Some older claims have been revised, retired, quarantined, or reclassified under the program’s current Determinacy-governed review process.

The current public framing is maintained through Lucerna Veritas. GitHub serves as a preservation and reproducibility layer.

In short:


How to read this archive

The Coherence Research Collaboration began as an exploratory human–AI research program investigating recursive geometry, electromagnetic structure, atomic spectra, and physical constants.

The program has since matured into a more disciplined research framework centered on Determinacy Under Quotient Representations: the principle that a scalar claim is admissible only when the declared representation determines it, or when the additional closure structure is explicitly named.

This shift does not erase the earlier work. It contextualizes it.

The earlier papers are retained because they document:

The journey is part of the evidence.


Current workstreams

1. Determinacy Under Quotient Representations

The Determinacy paper is under major revision.

The current revision treats the determinacy criterion as a classical but under-enforced audit discipline. It develops the post-quotient repertoire: set-valued description, extremal control, declared scalar closure, representation refinement, and refusal.

The new version also incorporates boundary examples, including a case where the framework diagnoses a false positive in the authors’ own prior work.

2. Thread Frame

Thread Frame is being developed as a levels-first spectroscopic audit instrument.

Its purpose is not to prove that selected spectral lines are physically special. Its purpose is to provide a reproducible representation of atomic level structure, photon realization, closure residuals, catalog consistency, and candidate queues for further review.

Current development emphasizes provenance, null comparisons, covariance awareness, observed-channel cycle closure, and responsible use of NIST atomic data.

3. Electromagnetic impedance and α

The program retains a conservative synthesis around the relation between the fine-structure constant and electromagnetic impedance.

Current framing distinguishes identities, readings, pedagogical syntheses, and physical claims. The emphasis is no longer “derivation of constants,” but disciplined representation: what is exact by construction, what is interpretive, what is inherited from established physics, and what requires further review.

4. Human–AI collaboration methodology

The program’s research history is now itself a case study in human–AI collaboration.

The archive documents a rare full arc: exploratory discovery, overclaim, audit, burial, salvage, revision, and protocol design. This supports future work on multi-instance AI review, correlated-prior failure, admission gates, citation debt, quarantine discipline, and external human review.


Papers — P-Series

These papers are preserved as dated research releases. Status notes will continue to be synchronized with Lucerna Veritas.

Paper Title Status PDF HTML TXT
P1 Vacuum Impedance as the Organizing Principle of Atomic Spectra Legacy release; current status under review PDF HTML TXT
P2 Electromagnetic Closure and the Fine-Structure Constant: A Geometric Derivation Legacy release; concepts under re-audit and synthesis PDF HTML TXT
P3 Determinacy Under Quotient Representations Active revision PDF HTML TXT
P4 The Encounter of Two Primitives and One Flaw Legacy release; teaching material deferred pending review PDF HTML TXT
P5 The Proton Mass from Atomic Spectra Legacy release; retained as part of the audit record PDF HTML TXT
P6 On the Geometric Origin of Particle Masses Legacy release; retained as historical record PDF HTML TXT

Thread Frame and atomic spectra

Work Title Status PDF HTML TXT
RGAS Recursive Geometry of Atomic Spectra Historical release; vNext audit framework in development PDF HTML TXT
MDL Information-Theoretic Confirmation of the α-Affine Thread Frame Historical release; results under current reinterpretation PDF HTML TXT
Hydrogenic Hydrogenic Alignment as a Coordinate Principle for Atomic Spectra Historical release PDF

Reproducibility

Selected code, data pointers, and reproducibility materials are preserved in related repositories, including:

RecursiveGeometry
https://github.com/CoherenceResearchCollaboration/RecursiveGeometry

These materials are retained for provenance, review, and historical reproducibility. Their presence in the archive does not imply that all interpretations in the original papers remain current.


Provenance

This research was conducted by Kelly B. Heaton through an interactive collaboration with ChatGPT and Claude, collectively referred to as the Coherence Research Collaboration.

All research design, direction, interpretation, publication decisions, and intellectual-property decisions remain under the authority of Kelly B. Heaton.

The AI systems are part of the collaboration record: as assistants, instruments, reviewers, failure modes, and subjects of methodological analysis.


Licensing and use

Licensing varies by file, paper, and release.

Unless a file or release explicitly states otherwise, copyright and intellectual property remain with Kelly B. Heaton / Lucerna Veritas. Code repositories or release packets may carry their own explicit licenses.

Please cite dated releases by DOI where available, and consult Lucerna Veritas for current status notes.


Follow the light of the lantern.