Pushout Geometry of Galois, Étale, and Null Groupoids

Shin Tamaki

doi:10.5281/zenodo.22289047

September 4, 2026Open Access

Pushout Geometry of Galois, Étale, and Null Groupoids

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Key Points

Determine whether Galois, étale, and null groupoids share common geometric structures across arithmetic, algebraic, and Lorentzian frameworks.
Analyzed the categorical pushout constructions associated with Galois, étale, and null groupoid formulations.
Characterized the local-to-global geometric transitions mediated by a common generative nucleus.
Demonstrated that Galois, étale, and null groupoids possess identical pushout geometry.
Identified a shared generative nucleus providing a unified local-to-global structure across arithmetic, algebraic, and Lorentzian settings.

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Implication

Theoretical analysis reveals shared pushout geometry across Galois, étale, and null groupoids, indicating a unified local-to-global framework spanning arithmetic, algebra, and Lorentzian spacetime.

Abstract

We show that Galois, étale, and null groupoids share the same pushout geometry, yielding a unified local-to-global structure across arithmetic, algebraic, and Lorentzian settings via a common generative nucleus.

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Shin Tamaki (2026) studied this question.

synapsesocial.com/papers/6a9d1ea728139818eab21ad0 https://doi.org/10.5281/zenodo.22289047

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Pushout Geometry of Galois, Étale, and Null Groupoids

Key Points

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Implication

Abstract

Discussion

Cite This Study

Pushout Geometry of Galois, Étale, and Null Groupoids

Key Points

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Implication

Abstract

Discussion

Cite This Study

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