Luis Gonzalez-Mestres
Quantum Mechanics and the Spinorial Space-Time
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ABSTRACT.  The mathematical properties of the spinoral space-time we introduced in previous papers can have strong implications for Quantum Mechanics and even be its real origin. We complete here our recent discussion of the subject showing that the function of space-time associated to the extended internal structure of a spin-1/2 particle at very small distances can be incompatible with a continuous motion due to the overlap in the time variable directly related to the fact that a spinor function takes nonzero values simultaneously in a whole time interval. Then, if discrete motion is required, the situation will be possibly close to that generating the Feynman path integral. Quantum Mechanics would in this way directly emerge from the spinorial space-time.