Analysis reveals quantum mechanics arises from classical field theory, suggesting new insights into its foundations.
In this paper, we derive the full quantum mechanics theory and its postulates from a totally classical field theory. We just extend the Lorentz symmetry group of space-time by adding a new simple abelian symmetry, gauge them both, and find the resultant equations of motion. Then, all the postulates of quantum mechanics, including spin and the Planck constant, are derived easily and naturally. The interpretation of quantum mechanics gets new insights. Furthermore, the speed of light constant, the number of space-time dimensions, and the Minkowskian metric are derived as collateral results. all in one piece, however ambitious it may seem, it just works. In short, Quantum mechanics is a classical field theory after all, mathematically proven.
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Riyadh A. Abdallah (2025) studied this question.
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