Published June 3, 2026 | Version v5
Preprint Open

Charged Leptons as ST–EM Waveguide States: Charge Winding, Dirac–QED Limit, and Resonant Mode Selection in the Space-Time Wave Framework

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Description

We develop a charged-lepton companion to the space-time wave neutrino framework. The starting point is the spinor carrier, phase-load stiffness, and carrier-envelope closure introduced in the neutrino preprint, where the normalized space-time density amplitude is identified with the fine-structure scale. In the present work, charged leptons are modeled as locked space-time/electromagnetic waveguide states, in which an electromagnetic phase winding is bound to the two-valued space-time wave phase orientation.

Electric charge is interpreted as a compact relative winding between the electromagnetic phase and the internal space-time phase. Local covariance of this relative phase gives the usual electromagnetic gauge connection, while the inherited spinor orientation and left-right locking of the waveguide lead to an effective Dirac equation with electromagnetic minimal coupling. In the locally flat limit, the construction reduces to the standard Dirac–QED form and gives the leading charged-lepton magnetic moment. A possible subleading magnetic response of the space-time flow is formulated as a boundary correction, but no numerical anomalous magnetic moment prediction is claimed.

The same phase-load depth used in the neutrino sector is reinterpreted in the charged sector as inherited carrier phase-lock stiffness, rather than as a new fitted parameter. This allows the electron, muon, and tau to be described as distinct locked electromagnetic modes with small detuning corrections from the quasi-standing space-time envelope geometry. Photon energy quantization is interpreted as quantization of stable electromagnetic–space-time action transfer, rather than as a derivation of the full Fock-space structure of quantum electrodynamics.

Finally, we outline a qualitative radial rupture mechanism for charged-lepton decays, including possible leptonic and hadronic tau channels. Decay widths, branching ratios, weak vertices, fermionic statistics, anomalous magnetic moments, and the full renormalized QED structure are left as future calculations. The result is an effective charged-lepton extension of the space-time wave framework, not a completed replacement of the Standard Model charged-lepton sector.

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charged_leptons_st_em_waveguides_ST_standalone_publication_qft_spinstat_renorm_pauli.pdf

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Cites
Preprint: 10.5281/zenodo.20340723 (DOI)