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arxiv: 0810.5333 · v2 · submitted 2008-10-29 · ✦ hep-th · gr-qc· hep-ph· quant-ph

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Universality of Quantum Gravity Corrections

Saurya Das , Elias C. Vagenas
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classification ✦ hep-th gr-qchep-phquant-ph
keywords quantumcorrectionsgravitypredictscaletheyboundscurrent
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We show that the existence of a minimum measurable length and the related Generalized Uncertainty Principle (GUP), predicted by theories of Quantum Gravity, influence all quantum Hamiltonians. Thus, they predict quantum gravity corrections to various quantum phenomena. We compute such corrections to the Lamb Shift, the Landau levels and the tunnelling current in a Scanning Tunnelling Microscope (STM). We show that these corrections can be interpreted in two ways: (a) either that they are exceedingly small, beyond the reach of current experiments, or (b) that they predict upper bounds on the quantum gravity parameter in the GUP, compatible with experiments at the electroweak scale. Thus, more accurate measurements in the future should either be able to test these predictions, or further tighten the above bounds and predict an intermediate length scale, between the electroweak and the Planck scale.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Effective Improved-GUP Cosmology: Emergent FLRW Universe without a Bounce

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    Improved GUP deformations applied to FLRW cosmology with Ashtekar-Barbero variables produce a non-singular emergent universe coasting from constant volume without a bounce and with a universal maximum energy density.

  2. Dymnikova-Schwinger quantum-corrected slowly rotating wormholes: Photon and spinning particle dynamics

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    GUP-corrected rotating wormholes based on the Dymnikova-Schwinger profile produce split co- and counter-rotating photon spheres and asymmetric shadows.

  3. Uncertainty Principles and Maximum Entropic Force

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    Quantum gravity corrections via GUP, EUP, GEUP and LQGUP make the maximum entropic force depend on the uncertainty principles' dimensionless parameters and, for EUP, on the number of Planck areas composing the effective area.

  4. The Science of the Einstein Telescope

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