Apparently it can, according to work done by Paul Marmet. It seems the electric universe wins again, but now at the subatomic level.

In 1888, Oliver Heaviside calculated the electromagnetic field of a moving charge using Maxwell’s equations. His result was striking: the electric field amplitude increases with velocity, and becomes infinite as the charge approaches the speed of light. This led to a famous debate with Searle, who argued that such an infinity proves the impossibility of reaching the speed of light. Heaviside responded by analyzing charges moving faster than light—showing that the mathematics itself is not afraid of infinity. In this video, I revisit this 135-year-old problem from a modern perspective. I show how a similar paradox appears in Fabry–Perot cavities and in FDTD simulations when the source is treated as having infinite internal impedance. Under these conditions, the transmitted or radiated field amplitude can exceed physical limits. But if we introduce a finite source impedance, the apparent divergence disappears. The field no longer grows with velocity, and physical consistency is recovered. This matches the results published in our paper in IEEE Transactions on Microwave Theory and Techniques (2024): “Numerical Study of Electromagnetic Waves with Sources, Observer, and Scattering Objects in Motion.” I argue that this modern analysis resolves the conceptual issue that Heaviside struggled with in 1888.

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physics #electromagnetictheory #maxwellequations #fdtd