Null Dictionary Theory: Geometry, Groupoids, and Sparse Functorial Learning

We present Null Dictionary Theory, integrating Lorentzian null geometry, groupoid composition, and sparse functorial optimization. Sparse minimization yields minimal null subgroupoids, and the Sparse functor preserves geometric and algebraic structure, providing a unified foundation for FRLT generative modeling.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-18
DOI
https://doi.org/10.5281/zenodo.22821146
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
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Null Dictionary Theory: Geometry, Groupoids, and Sparse Functorial Learning

Shin Tamaki
Zenodo (CERN European Organization for Nuclear Research)
Homotopy and Cohomology in Algebraic Topology
article

Null Dictionary Theory: Geometry, Groupoids, and Sparse Functorial Learning

Shin Tamaki
article en

Abstract

We present Null Dictionary Theory, integrating Lorentzian null geometry, groupoid composition, and sparse functorial optimization. Sparse minimization yields minimal null subgroupoids, and the Sparse functor preserves geometric and algebraic structure, providing a unified foundation for FRLT generative modeling.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Homotopy and Cohomology in Algebraic Topology
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Null Dictionary Theory: Geometry, Groupoids, and Sparse Functorial Learning — Shin Tamaki · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS