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arXiv · 1304.2208

Loop-deformed Poincaré algebra

Jakub Mielczarek
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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.

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Jakub Mielczarek. 2013-04-08. Loop-deformed Poincaré algebra. https://doi.org/10.1209/0295-5075%2F108%2F40003

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