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Quantum gravity theories predict nonlocal physics, modifying quantum mechanics. Experiments with massive quantum objects could test these effects, constraining quantum gravity theories.

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Area of Science:

  • Theoretical physics
  • Quantum gravity phenomenology
  • Quantum mechanics

Background:

  • Quantum gravity theories suggest nonlocal physics below the Planck scale.
  • These theories predict Lorentz invariant equations of motion.
  • Nonlocal effective field theories can modify quantum evolution.

Purpose of the Study:

  • To investigate the nonrelativistic limit of nonlocal effective field theories.
  • To explore the implications for quantum oscillators, specifically optomechanical systems.
  • To establish experimental constraints and future testing avenues for quantum gravity phenomenology.

Main Methods:

  • Derivation of modified Schrödinger evolution from nonlocal field theories.
  • Analysis of optomechanical quantum oscillators under nonlocal evolution.
  • Review of past experimental constraints and proposal for future high-precision experiments.

Main Results:

  • Nonlocal effective field theories lead to modified Schrödinger evolution.
  • Optomechanical quantum oscillators exhibit spontaneous periodic squeezing due to nonlocality.
  • Past experiments provide constraints on the nonlocality scale.

Conclusions:

  • Future high-precision experiments on massive quantum objects can test quantum gravity phenomenology.
  • These experiments offer a promising new avenue for probing physics beyond the Standard Model.
  • Successful detection of predicted effects would validate specific quantum gravity scenarios.