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On the uncertainty relations of $$\kappa$$-deformed quantum phase space. (English) Zbl 0988.81052
Summary: The uncertainty relations associated to the covariant $$\kappa$$-deformation of $$D=4$$ relativistic symmetries, with quantum “time” coordinate and modified Heisenberg algebra, are shown to be consistent with independent heuristic estimates of limitations on the measurability of space-time distances. Our analysis generalizes the one previously reported by one of us, which considered only the space-time coordinate sector.

##### MSC:
 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory 81P05 General and philosophical questions in quantum theory