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

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.

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