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On deformations of classical mechanics due to Planck-scale physics
[article]
2019
arXiv
pre-print
Several quantum gravity and string theory thought experiments indicate that the Heisenberg uncertainty relations get modified at the Planck scale so that a minimal length do arises. This modification may imply a modification of the canonical commutation relations and hence quantum mechanics at the Planck scale. The corresponding modification of classical mechanics is usually considered by replacing modified quantum commutators by Poisson brackets suitably modified in such a way that they retain
arXiv:1902.09728v2
fatcat:ygvk2ey2nzdqri5siim4sf5w3m