A Minimal Axiomatic Framework for FRLT Theory: Connecting Microscopic Null Groupoids to Macroscopic Coxeter Group Structures

This paper establishes FRLT Theory, a rigorous mathematical framework bridging microscopic null groupoids and macroscopic Coxeter groups. Utilizing C_2-graded spaces, Burnside semi-rings, Gauss-Manin flatness, and a holographic mirror isomorphism, we prove foundational conservation laws and categorical equivalence. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.24006011
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
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article

A Minimal Axiomatic Framework for FRLT Theory: Connecting Microscopic Null Groupoids to Macroscopic Coxeter Group Structures

Shin Tamaki
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Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
article

A Minimal Axiomatic Framework for FRLT Theory: Connecting Microscopic Null Groupoids to Macroscopic Coxeter Group Structures

Shin Tamaki
article en

Abstract

This paper establishes FRLT Theory, a rigorous mathematical framework bridging microscopic null groupoids and macroscopic Coxeter groups. Utilizing C_2-graded spaces, Burnside semi-rings, Gauss-Manin flatness, and a holographic mirror isomorphism, we prove foundational conservation laws and categorical equivalence. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 23%
Mathematics and Applications
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A Minimal Axiomatic Framework for FRLT Theory: Connecting Microscopic Null Groupoids to Macroscopic Coxeter Group Structures — Shin Tamaki · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS