title: Quantum mechanics, gravity and modified quantization relations.
abstract: In this paper, we investigate a possible energy scale dependence of the quantization rules and, in particular, from a phenomenological point of view, an energy scale dependence of an effective [Formula: see text] (reduced Planck's constant). We set a bound on the deviation of the value of [Formula: see text] at the muon scale from its usual value using measurements of the anomalous magnetic moment of the muon. Assuming that inflation has taken place, we can conclude that nature is described by a quantum theory at least up to an energy scale of about 10(16) GeV.
authors.affiliation: Department of Physics and Astronomy, University of Sussex, Falmer, Brighton BN1 9QH, UK x.calmet@sussex.ac.uk.
authors.forename: Xavier
authors.initials: X
authors.lastname: Calmet
keywords: anomalous
  magnetic moment; gravity; inflation; quantization rules; quantum field theory; quantum mechanics