caa a22 4500 44538641X CHVBK 20180317143033.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10714-011-1235-1 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1235-1 Smolin Lee Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, ON, Canada aut Classical paradoxes of locality and their possible quantum resolutions in deformed special relativity [Elektronische Daten] [Lee Smolin] In deformed or doubly special relativity (DSR) the action of the lorentz group on momentum eigenstates is deformed to preserve a maximal momenta or minimal length, supposed equal to the Planck length, $${l_p = \sqrt{\hbar G}}$$ . The classical and quantum dynamics of a particle propagating in κ-Minkowski spacetime is discussed in order to examine an apparent paradox of locality which arises in the classical dynamics. This is due to the fact that the lorentz transformations of spacetime positions of particles depend on their energies, so whether or not a local event, defined by the coincidence of two or more particles, takes place appears to depend on the frame of reference of the observer. Here it is proposed that the paradox arises only in the classical picture, and may be resolved when the quantum dynamics is taken into account. If so, the apparent paradoxes arise because it is inconsistent to study physics in which $${\hbar =0}$$ but $${l_p = \sqrt{\hbar G}\neq 0}$$ . This may be relevant for phenomenology such as observations by FERMI, because at leading order in l p × distance there is both a direct and a stochastic dependence of arrival time on energy, due to an additional spreading of wavepackets. Springer Science+Business Media, LLC, 2011 Special relativity nationallicence Planck length nationallicence Quantum dynamics nationallicence General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3671-3691 0001-7701 43:12<3671 2011 43 10714 https://doi.org/10.1007/s10714-011-1235-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1235-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Smolin Lee Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, ON, Canada aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3671-3691 0001-7701 43:12<3671 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer