Planck length challenges non-relativistic quantum mechanics of large masses

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Abstract

With the simplest proof ever, we justify the significance of quantum-gravity in non-relativistic quantum mechanics together with the related theories and experiments. Since the de Broglie wave length is inverse proportional to the mass, it would descend towards and below the Planck scale 10-33 cm for large masses even at slow non-relativistic motion. The tricky relationship between gravity and quantum mechanics-well-known in the relativistic case-shows up in non-relativistic motion of massive objects. Hence the gravity-related modification of their Schrüdinger equation is mandatory. We also recall the option of an autonomous Newtonian quantum-gravity, a theory parametrized by ℏ and G. On cancellation of c from the Newtonian limit of Planck scale metric fluctuations is given a new hint.

Original languageEnglish
Article number012007
JournalJournal of Physics: Conference Series
Volume1275
Issue number1
DOIs
Publication statusPublished - Sep 17 2019
Event9th International Workshop on Decoherence, Information, Complexity and Entropy: Spacetime Matter Quantum Mechanics, DICE 2018 - Castiglioncello, Tuscany, Italy
Duration: Sep 17 2018Sep 21 2018

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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