Discretization of space and time in wave mechanics: the validity limit

Preprint English OPEN
Roatta , Luca (2017)
  • Publisher: HAL CCSD
  • Subject: discrete time | wave mechanics | [ PHYS.PHYS.PHYS-GEN-PH ] Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] | discrete space | Compton wavelength | discretization
    arxiv: Computer Science::Databases

Assuming that space and time can only have discrete values, it is shown that wave mechanics must necessarily have a specific applicability limit: in a discrete context, unlike in a continuous one, frequencies can not have arbitrarily high values.
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