A segment-local Ward–Takahashi cancellation makes the fermion self-energy equal to its Feynman-gauge value off shell, yielding a gauge-invariant, on-shell-renormalized mass function m(q).
Note on the radiation field of the electron,
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Horizon-induced decoherence of charged branches is a complementary soft-QED Schur channel whose Gram matrix yields falsifiable multi-branch Bargmann holonomy tests.
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Gauge-Invariant Off-Shell Mass
A segment-local Ward–Takahashi cancellation makes the fermion self-energy equal to its Feynman-gauge value off shell, yielding a gauge-invariant, on-shell-renormalized mass function m(q).
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Horizon-Restricted Leading Soft QED as Open Quantum System
Horizon-induced decoherence of charged branches is a complementary soft-QED Schur channel whose Gram matrix yields falsifiable multi-branch Bargmann holonomy tests.