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 $\hslash$. We set a bound on the deviation from the value of $\hslash$ at the muon scale from its usual value using measurements of the anomalous magnetic moment of the muon. Assuming that inflation took place, we can conclude that nature is described by a quantum theory at least up to an energy scale of about $10^{16}$ GeV.

14 pages

References in corpus (4)

• Towards an S-matrix Description of Gravitational Collapse
• The Lightest of Black Holes
• The hbar Expansion in Quantum Field Theory
• On the Precision of a Length Measurement