Affine Non-Abelian Stokes for Twistor Memory

Hiroyuki Shioiri

doi:10.5281/zenodo.20707781

June 15, 2026Open Access

Affine Non-Abelian Stokes for Twistor Memory

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Key Points

This research aims to provide a mathematical framework for affine memory holonomy through non-Abelian Stokes theory.
Analyzes affine memory holonomy utilizing semidirect non-Abelian Stokes factorization.
Examines the loop holonomy through rotor closure and source displacement.
Develops an all-orders finite-mesh identity from leading rotor-area terms.
Successfully factors exact loop holonomy into distinct rotor closure and transported source components.
Upgrades existing rotor-area terms to a higher-order mathematical identity.
Establishes a new framework for understanding affine residues in the context of memory.

Implication

Theoretical framework elucidates memory holonomy using non-Abelian Stokes factorization, indicating refined mathematical structures.

Abstract

Affine memory holonomy is written as a semidirect non-Abelian Stokes factorization. The exact loop holonomy splits into rotor closure and transported source displacement, upgrading the leading T22 rotor-area and affine residue terms to an all-orders finite-mesh identity.

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Cite This Study

Hiroyuki Shioiri (2026) studied this question.

synapsesocial.com/papers/6a323cc9d50b63ecad206c35 https://doi.org/10.5281/zenodo.20707781

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Affine Non-Abelian Stokes for Twistor Memory

Key Points

Implication

Abstract

Discussion

Cite This Study

Affine Non-Abelian Stokes for Twistor Memory

Key Points

Implication

Abstract

Discussion

Cite This Study

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