Loop-deformed Poincaré algebra

Abstract

In this essay we present evidence suggesting that loop quantum gravity leads to deformation of the local Poincaré algebra within the limit of high energies. This deformation is a consequence of quantum modification of effective off-shell hypersurface deformation algebra. Surprisingly, the form of deformation suggests that the signature of space-time changes from Lorentzian to Euclidean at large curvatures. We construct particular realization of the loop-deformed Poincaré algebra and find that it can be related to curved momentum space, which indicates the relationship with recently introduced notion of relative locality. The presented findings open a new way of testing loop quantum gravity effects.

Essay written for the Gravity Research Foundation 2013 Awards for Essays on Gravitation, 7 pages, 1 figure

References in corpus (6)

• Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology
• Anomaly freedom in perturbative loop quantum gravity
• Deformed General Relativity and Effective Actions from Loop Quantum Gravity
• Lorentz covariance of loop quantum gravity
• Deformed General Relativity
• Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime

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• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
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