The paper derives a wave-vector-dependent permittivity and Cherenkov power formulas for 3D nonlinear electrodynamics, but the key equations do not support the physical conclusions.
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Non-local material vacuum and Cherenkov radiation in non-linear massive $3$D-Electrodynamics
The paper derives a wave-vector-dependent permittivity and Cherenkov power formulas for 3D nonlinear electrodynamics, but the key equations do not support the physical conclusions.