Abstract:
According to different quantum gravity models, gravitational effects at the Planck scale ap­ pear in the form of generalized commutation relations. In this framework, the dynamics of an isolated harmonic oscillator becomes intrinsically nonlinear and shows a dependence of the oscillation frequency on the amplitude. Here we analyze the free decay of micro and nano-oscillators, to place new upper limits to the parameters quantifying the commutator deformation.
  • Planck scale
  • modified uncertainty relations
  • mechanical oscillator
  • oscillator: harmonic
  • commutation relations: deformation
  • oscillation: frequency
  • quantum gravity: model
  • gravitation: effect
  • scale: Planck
  • nonlinear