Longitudinal and transverse relativity of spacetime locality in   Planck-scale-deformed phase spaces
  We summarize some of the results we obtained in arXiv:1006.2126 (Physical Review Letters 106, 071301), arXiv:1102.4637 (Physics Letters B 700, 150-156) and in arXiv:1107.3334, giving complementary characterizations of the relativity of spacetime locality that affects certain Planck-scale-deformed phase-space descriptions of free particles. 
Niccol\'o Loret, Leonardo Barcaroli, Giacomo Rosati
gr-qc