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Probing deformed commutators with macroscopic harmonic oscillators

Author

Listed:
  • Mateusz Bawaj

    (School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
    INFN, Sezione di Perugia)

  • Ciro Biancofiore

    (School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
    INFN, Sezione di Perugia)

  • Michele Bonaldi

    (Institute of Materials for Electronics and Magnetism
    Istituto Nazionale di Fisica Nucleare (INFN), Trento Institute for Fundamental Physics and Application)

  • Federica Bonfigli

    (School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
    INFN, Sezione di Perugia)

  • Antonio Borrielli

    (Institute of Materials for Electronics and Magnetism
    Istituto Nazionale di Fisica Nucleare (INFN), Trento Institute for Fundamental Physics and Application)

  • Giovanni Di Giuseppe

    (School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
    INFN, Sezione di Perugia)

  • Lorenzo Marconi

    (Università di Firenze, Via Sansone 1)

  • Francesco Marino

    (INFN, Sezione di Firenze
    CNR-Istituto Nazionale di Ottica)

  • Riccardo Natali

    (School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
    INFN, Sezione di Perugia)

  • Antonio Pontin

    (Università di Firenze, Via Sansone 1
    INFN, Sezione di Firenze)

  • Giovanni A. Prodi

    (Istituto Nazionale di Fisica Nucleare (INFN), Trento Institute for Fundamental Physics and Application
    Università di Trento)

  • Enrico Serra

    (Istituto Nazionale di Fisica Nucleare (INFN), Trento Institute for Fundamental Physics and Application
    Università di Trento
    Centre for Materials and Microsystem, Fondazione Bruno Kessler
    Delft University of Technology)

  • David Vitali

    (School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
    INFN, Sezione di Perugia)

  • Francesco Marin

    (Università di Firenze, Via Sansone 1
    INFN, Sezione di Firenze
    European Laboratory for Non-Linear Spectroscopy (LENS))

Abstract

A minimal observable length is a common feature of theories that aim to merge quantum physics and gravity. Quantum mechanically, this concept is associated with a nonzero minimal uncertainty in position measurements, which is encoded in deformed commutation relations. In spite of increasing theoretical interest, the subject suffers from the complete lack of dedicated experiments and bounds to the deformation parameters have just been extrapolated from indirect measurements. As recently proposed, low-energy mechanical oscillators could allow to reveal the effect of a modified commutator. Here we analyze the free evolution of high-quality factor micro- and nano-oscillators, spanning a wide range of masses around the Planck mass mP (≈22 μg). The direct check against a model of deformed dynamics substantially lowers the previous limits on the parameters quantifying the commutator deformation.

Suggested Citation

  • Mateusz Bawaj & Ciro Biancofiore & Michele Bonaldi & Federica Bonfigli & Antonio Borrielli & Giovanni Di Giuseppe & Lorenzo Marconi & Francesco Marino & Riccardo Natali & Antonio Pontin & Giovanni A. , 2015. "Probing deformed commutators with macroscopic harmonic oscillators," Nature Communications, Nature, vol. 6(1), pages 1-7, November.
    • Handle: RePEc:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms8503
    DOI: 10.1038/ncomms8503
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