Null Directional Derivations as Unified Generators in D-Module, Groupoid, and C ∗ -Algebra Frameworks

This paper shows that null directional derivations unify differential, geometric, and operator-algebraic structures by serving as common generators of D-modules, Lie groupoid flows, modular measures, and C∗-algebra derivations, yielding a coherent reconstruction of light-front dynamics.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-07
DOI
https://doi.org/10.5281/zenodo.22546588
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

Null Directional Derivations as Unified Generators in D-Module, Groupoid, and C ∗ -Algebra Frameworks

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

Null Directional Derivations as Unified Generators in D-Module, Groupoid, and C ∗ -Algebra Frameworks

Shin Tamaki
article en

Abstract

This paper shows that null directional derivations unify differential, geometric, and operator-algebraic structures by serving as common generators of D-modules, Lie groupoid flows, modular measures, and C∗-algebra derivations, yielding a coherent reconstruction of light-front dynamics.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Homotopy and Cohomology in Algebraic Topology
DOIOpen Access PDFOpenAlex
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