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Although electrons (fermions) and photons(bosons) produce the sameinterference patterns in the two-slit experiments, the description of thesepatterns is markedly different. Photons are spin one, relativistic and masslesswhile electrons are spin 1/2 massive particles producing the same interferencepatterns. In spite of these differences, already in early 30ies of 20iethcentury the isomorphism between the source-free Maxwell and Dirac equations wasestablished. It permitted us to replace Born probabilistic interpretation ofquantum mechanics with the optical. In 1925 Rainich combined source-freeMaxwell equations with Einstein's equations for gravity. His results wererediscovered by Misner and Wheeler in their "geometrodynamics". Absence ofsources in it remained a problem until Ranada's work. His results required theexistence of null electromagnetic fields absent in geometrodynamics. They wereadded later on by Geroch. Ranada's solutions of source-free Maxwell's equationscame out as knots and links. In this work new proof of knotty nature of theelectron is established. The obtained result perfectly blends with thedescripion of rotating and charged black hole.

Maxwell-Dirac isomorphism revisited: from foundations of quantum mechanics to geometrodynamics and cosmology