4 problems
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Curvature-induced finiteness of the classical electron self-energy
A point charge is modeled as an electron in a spacetime governed by the Einstein–Maxwell equations, with electromagnetic self-energy that is ordinarily divergent. The relevant mech…
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Triviality conjecture for Poynting or surface non-radiating sources
Let be a charge-current distribution. A source is called Poynting non-radiating or surface non-radiating according to the respective notions defined in the pa…
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The network-model conjecture for discrete Maxwell equations
Let and consider the coupled electric, magnetic, and dielectric network obtained by joining oscillatory circuits on the edges of the grid, transformer cores along the -dim…
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Poynting-vector tilt conjecture for Euler–Heisenberg effective light cones
Poynting-vector tilt conjecture. For any given carrier field, the corresponding effective light cones tilt into the direction of the Poynting vector of the field. Moreover, the hig…