Clifford Algebra and Maxwell–Pauli Current Correspondence in the Toroidal Electromagnetic Model of the Electron
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Abstract
A stationary toroidal Maxwell model of the electron generates a magnetic-moment bivectorMandan electromagnetic-angular-momentum bivector LEM, which select the same oriented plane B. ItsClifford algebra admits the standard Spin(3) ≃ SU(2) representation, while the gyromagnetic relationmaps M_ξ to S_ξ = (ℏ/2)B_ξ. As a consequence, we find a bulk correspondence between the Paulispin-magnetization current JP and the Maxwell source current JM, which selects ℓ = ℏ/(m_ec) = rc.
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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-08-23
Authors: C. A. M. dos Santos
Institutions: Universidade de São Paulo