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We summarize some of the results we obtained in arXiv:1006.2126 (PhysicalReview Letters 106, 071301), arXiv:1102.4637 (Physics Letters B 700, 150-156)and in arXiv:1107.3334, giving complementary characterizations of therelativity of spacetime locality that affects certain Planck-scale-deformedphase-space descriptions of free particles.

Longitudinal and transverse relativity of spacetime locality in Planck-scale-deformed phase spaces