Authors: Gilad Laredo
This study extends the classical theory of electromagnetism to include quantum phenomena, thus creating a bridge between classical EM theory and quantum mechanics. This bridge is facilitated through a mathematical structure that covers both Maxwell equations, Dirac equation and the Proca equation. One outcome of this study is a new Lagrangian that maintains the same fermionic field dynamics generated by the QED Lagrangian while being more compact and symmetric. Additionally, this work introduces a ‘fermionic’ stress-energy tensor that can be integrated into Einstein’s field equations as source of spacetime curvature, demonstrating compatibility with general relativity.
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