Summary
Quantum mechanics is an optics with one more spatial dimension, the angle of phase. Wave-particle duality is nothing else than geometric tangentpoint duality. The « interval » of special relativity is proportional to the phase.
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Malcor, E. From special relativity to quantum mechanics through interval and phase. Lett. Nuovo Cimento 42, 430–434 (1985). https://doi.org/10.1007/BF02749449
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DOI: https://doi.org/10.1007/BF02749449