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 (reduced Planck’s constant). We set a bound on the deviation of the value of 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 1016 GeV.
One contribution of 13 to a theme issue ‘New geometric concepts in the foundations of physics’.
- Accepted April 27, 2015.
- © 2015 The Author(s) Published by the Royal Society. All rights reserved.