Work

Maxwell Electrodynamics from Completion Curvature in the Residual Completion Framework V1.0

Year: 2026
Type: article
Abstract: This preprint presents a theoretical derivation of the Maxwell sector within the Residual Completion Framework (RCF). The construction identifies classical electromagnetism with the SO(2)_{PR} reduced compatibility-curvature sector of a projected/residual internal frame. The electromagnetic potential arises as the P/R connection component induced by residual loading and orthogonalization, while electric source strength is associated with gauge-invariant closed P/R winding. The work derives the Maxwell equations from the corresponding curvature action and winding-source coupling, and states explicitly the limitations and validation requirements for future numerical loop studies.P. S. Arwell is a pseudonym used for this theoretical preprint. No institutional affiliation is claimed.
Language: English
Open Access status: green
OpenAlex ID: W7166439722
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