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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19076294 |
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Table of Contents:
- <p><span lang="EN-US">We show that Yang–Mills gauge structure follows from a minimal algebraic consistency condition. Local relational observables are assumed to form closed operator algebras, and these closure relations are required to remain preserved under transport between neighboring relational regions. For finite-dimensional semisimple algebras, this condition forces the transport generator to be an inner derivation and therefore defines a Lie-algebra-valued connection. The resulting curvature has the Yang–Mills form, and changes of local closure basis induce ordinary gauge transformations. Gauge symmetry is thereby interpreted as a redundancy in comparing equivalent local relational operator bases rather than as a fundamental postulate.</span></p>