# The Braid Field Papers

This repository contains the first public release of the Braid Field framework:

- **DIAT** — Dual-Interval Algebraic Transform
- **AVMR** — Algebraic Vector Mountain Range
- **Quasi-Periodic Integer Geometry** — an integer-shell and wave-structured perspective with Erdős-adjacent combinatorial motivation

The framework maps integers into geometric shell coordinates, then into typed events, standing-wave fields, timing-coded states, and hierarchical vector summaries.

## Zenodo DOI

[10.5281/zenodo.19587644](https://doi.org/10.5281/zenodo.19587644)

## Repository layout

- `papers/` — LaTeX source papers
- `data/` — CSV traces and glossary
- `code/lean/` — Lean formalization
- `code/rust/` — Rust builders and timing/field implementations
- `docs/` — diagrams and domain notes
- `zenodo/` — exported Zenodo submission artifacts

## Author

**Brandon Schneider**  
No One Everywhere LLC  
ORCID: 0009-0000-1594-0095

## AI Assistance Disclosure

Portions of the conceptual structuring, formalization, and code scaffolding in this work were developed with the assistance of OpenAI’s ChatGPT. The model was used as a tool to help organize, refine, and express the underlying ideas; all core concepts, system design, and research direction originate from the author.

## Citation

See `CITATION.cff` or `citation.bib`.