Quantum gravity effects in geodesic motion and predictions of equivalence principle violation
Open Access
- 20 December 2013
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 31 (2), 025025
- https://doi.org/10.1088/0264-9381/31/2/025025
Abstract
We show that the Equivalence Principle is violated by Quantum Gravity (QG) effects. The predicted violations are compared to experimental observations for Gravitational Redshift, Law of Reciprocal Action and Universality of Free Fall. This allows us to derive explicit bounds for β—the QG scale. In our approach, there appears a deviation in the geodesic motion of a particle. This deviation is induced by a non-commutative spacetime, consistent with a Generalized Uncertainty Principle (GUP). GUP admits the presence of a minimum length scale, that is advocated by QG theories. Remarkably, the GUP induced corrections are quite robust since the bound on β obtained by us, in General Relativity scenario in an essentially classical setting of modified geodesic motion, is closely comparable to similar bounds in recent literature (Das and Vagenas 2008 Phys. Rev. Lett. 101 221301). The latter are computed in purely quantum physics domain in flat spacetime.Keywords
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This publication has 29 references indexed in Scilit:
- Constraining the Energy-Momentum Dispersion Relation with Planck-Scale Sensitivity Using Cold AtomsPhysical Review Letters, 2009
- Testing Local Position Invariance with Four Cesium-Fountain Primary Frequency Standards and Four NIST Hydrogen MasersPhysical Review Letters, 2007
- Lorentz-covariant deformed algebra with minimal lengthCzechoslovak Journal of Physics, 2006
- Lorentz-covariant deformed algebra with minimal length and application to the (1 + 1)-dimensional Dirac oscillatorJournal of Physics A: General Physics, 2006
- Quantum groups, gravity, and the generalized uncertainty principlePhysical Review D, 1994
- The algebraic structure of the generalized uncertainty principlePhysics Letters B, 1993
- Equivalence of active and passive gravitational mass using the moonPhysical Review Letters, 1986
- Small-scale structure of spacetime as the origin of the gravitational constantPhysical Review D, 1977
- Negative Mass in General RelativityReviews of Modern Physics, 1957
- Über den Einfluß der Schwerkraft auf die Ausbreitung des LichtesAnnalen der Physik, 1911