Project: QADMON Spectral Invariants (2025)
Author: Igor Chechelnitsky
ORCID: 0009-0007-4607-1946

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Project Status: FINALIZED

This repository contains the complete, stable, archival version of the research establishing two new spectral invariants in quasicrystalline approximations to GUE statistics:

1. Finite-size optimal coupling: γ* = √(π/3)

2. Fibonacci–renormalization spectral invariant: κ = (√(10 + 2√5)) / 2

These results are fully documented, reproducible, numerically validated, and ready for long-term preservation.
No further modifications are required for this version.

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Included Components

1. Main Article

docs/QADMON_Article.md
Complete academic writeup (final research paper).

2. Mathematical Companion

docs/Theorems_Companion.md
Formal statements of theorems and proofs.

3. Numerical Code

python/
Contains the exact Python scripts used to reproduce κ and γ*.

4. Numerical Data

data/
Convergence logs and eigenvalue samples.

5. Research Notes

docs/Numerical_Coincidences.md
Non-theorem numerical coincidences collected for future investigation.

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Archival Integrity

This is the canonical version intended for:

• GitHub release
• Zenodo DOI assignment
• Public academic reference
• Independent verification

All elements are reproducible using the code in python/.

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How to Archive on Zenodo

1. Create a GitHub release (e.g., v1.0.0).
2. Zenodo will automatically generate a DOI for the release.
3. Add the DOI badge to README (optional).

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Final Note

This version marks the completion of the QADMON Spectral Invariants project.
You may now proceed to other directions (e.g., QADMON-OS) without modifying this repository.

This archive is complete.