Universality of Quantum Gravity Corrections
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- 25 November 2008
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 101 (22), 221301
- https://doi.org/10.1103/physrevlett.101.221301
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.Other Versions
This publication has 8 references indexed in Scilit:
- Minimal length uncertainty relation and the hydrogen atomJournal of Physics A: General Physics, 1999
- Observation of Landau levels at the InAs(110) surface by scanning tunneling spectroscopyPhysical Review B, 1997
- Non-pointlike particles in harmonic oscillatorsJournal of Physics A: General Physics, 1997
- Hilbert space representation of the minimal length uncertainty relationPhysical Review D, 1995
- QUANTUM GRAVITY AND MINIMUM LENGTHInternational Journal of Modern Physics A, 1995
- A generalized uncertainty principle in quantum gravityPhysics Letters B, 1993
- Can spacetime be probed below the string size?Physics Letters B, 1989
- A precision determination of the Lamb shift in hydrogenPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1979