Discretization of space and time: determining the values of minimum length and minimum time

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Roatta, Luca;
(2017)
  • Publisher: HAL CCSD
  • Subject: black hole | Planck's mass | Planck's units | quantum mechanics | Compton length | [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] | [ PHYS.PHYS.PHYS-GEN-PH ] Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] | Planck's time | general relativity | Planck's length

Assuming that space and time can only have discrete values, we obtain the expression of the minimum length and the minimum time interval. These values are found to be exactly coincident with the Planck's length and the Planck's time but for the presence of h instead of ... View more
  • References (4)

    [1] Luca Roatta. Discretization of space and time in wave mechanics: the validity limit. 2017. <hal-01476650>. Available at https://hal.archives-ouvertes.fr/hal-01476650

    [2] Luca Roatta. Discretization of space and time: a slight modification to the Newtonian gravitation which implies the existence of black holes. 2017. <hal-01493148>. Available at https://hal.archives-ouvertes.fr/hal-01493148

    [3] Matthew J. Lake, Bernard Carr. The Compton−Schwarzschild correspondence from extended de Broglie relations. Available at https://arxiv.org/pdf/1505.06994.pdf

    [4] Luca Roatta. Discretization of space and time in wave mechanics: consequences of modified gravitational law. 2017. Available at https://hal.archives-ouvertes.fr/hal01494151

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