PMID: 19113472Dec 31, 2008Paper

Universality of quantum gravity corrections

Physical Review Letters
Saurya Das, Elias C Vagenas

Abstract

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 tunneling current in a scanning tunneling microscope. 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.

References

Jul 15, 1995·Physical Review. D·A KempfR B Mann

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Citations

Jun 20, 2015·Nature Communications·Mateusz BawajFrancesco Marin
Apr 20, 2016·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Alessandro BisioPaolo Perinotti
Oct 11, 2017·The European Physical Journal. C, Particles and Fields·Sebastian BahamondeRafael C Nunes
Nov 21, 2017·The European Physical Journal. C, Particles and Fields·Sebastian BahamondeKonstantinos F Dialektopoulos
Feb 14, 2012·Physical Review Letters·Claus Kiefer, Manuel Krämer
Aug 9, 2020·Nature Communications·Shreya P Kumar, Martin B Plenio
Oct 30, 2015·Reports on Progress in Physics·Abdel Nasser Tawfik, Abdel Magied Diab
Jan 1, 2013·Living Reviews in Relativity·Sabine Hossenfelder
Apr 7, 2010·Physical Review Letters·M M Ettefaghi, S M Fazeli
May 18, 2013·Physical Review Letters·Huan YangYanbei Chen
Apr 4, 2021·Scientific Reports·Robert B MannAgus Suroso
Jun 12, 2021·Royal Society Open Science·Arun Mathew, Malay K Nandy
Jul 24, 2021·Nature Communications·Luciano Petruzziello, Fabrizio Illuminati

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