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Journal Article

Planck-scale dual-curvature lensing and spacetime noncommutativity


Bianco,  Stefano
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Amelino-Camelia, G., Barcaroli, L., Bianco, S., & Pensato, L. (2017). Planck-scale dual-curvature lensing and spacetime noncommutativity. Advances in High Energy Physics, 2017: 6075920. doi:10.1155/2017/6075920.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-DB2C-3
It was recently realized that Planck-scale momentum-space curvature, which is expected in some approaches to the quantum-gravity problem, can produce dual-curvature lensing, a feature which mainly affects the direction of observation of particles emitted by very distant sources. Several gray areas remain in our understanding of dual-curvature lensing, including the possibility that it might be just a coordinate artifact and the possibility that it might be in some sense a by product of the better studied dual-curvature redshift. We stress that data reported by the IceCube neutrino telescope should motivate a more vigorous effort of investigation of dual-curvature lensing, and we observe that studies of the recently proposed "$\rho$-Minkowski noncommutative spacetime" could be valuable from this perspective. Through a dedicated $\rho$-Minkowski analysis, we show that dual-curvature lensing is not merely a coordinate artifact and that it can be present even in theories without dual-curvature redshift.