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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.19116236 |
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Table of Contents:
- <p>We continue the program in which action is treated as a primary structure and the phase</p> <p>\[ \phi=\frac{S}{\hbar} \]</p> <p>as its associated operational variable. In previous works, the phase structure was connected to quantum dynamics and effective gravitational geometry. In the present article, we focus exclusively on the electromagnetic sector.</p> <p>We show that the electromagnetic coupling can be formulated as a local modulation of the phase by a 1-form \(A_\mu\), such that the minimal substitution</p> <p>\[ \partial_\mu \phi \;\longrightarrow\; \partial_\mu \phi - \frac{e}{\hbar}A_\mu \]</p> <p>emerges naturally as a way to preserve phase coherence in the presence of external interaction. In this language, the electromagnetic field acts as a phase connection, gauge invariance expresses the redundancy of the absolute phase reference, and the Aharonov-Bohm effect appears as a direct experimental manifestation of the physical reality of the connection's holonomy.</p> <p>The objective of this work is not to fully derive Maxwell's equations from a new microscopic model, but to make explicit that the formal structure of electromagnetism is compatible with a formulation based on phase, connection, and coherence. In this sense, the electromagnetic interaction can be reinterpreted as an active phase modulation, in contrast to the role of gravity as a passive propagation structure.</p>