标题： 局域性经典悖论及其在变形狭义相对论中的可能量子解法 显示英文标题

标题： Classical paradoxes of locality and their possible quantum resolutions in deformed special relativity

摘要： 在变形相对论或双重特殊相对论（DSR）中，洛伦兹群对动量本征态的作用被改变，以保持最大动量或最小长度，该长度被认为等于普朗克长度。 为了检查经典动力学中出现的局部性明显矛盾，讨论了在κ-闵可夫斯基时空中的粒子传播的经典和量子动力学。 这是由于粒子时空位置的洛伦兹变换取决于它们的能量，因此是否发生由两个或多个粒子的相遇定义的局部事件似乎取决于观察者的参考系。 在这里提出，该矛盾仅出现在经典图像中，当考虑量子动力学时可能得到解决。 如果是这样，明显的矛盾出现是因为研究普朗克常数为零但普朗克长度不为零的物理学是不一致的。 这可能与现象学相关，例如费米（FERMI）的观测，因为在主导阶次上，由于波包的额外扩散，到达时间同时存在直接和随机的能量依赖性。 显示英文摘要

摘要： 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. The classical and quantum dynamics of a particle propagating in kappa-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 Planck's constant is zero but the Planck length is non-vanishing. This may be relevant for phenomenology such as observations by FERMI, because at leading order there is both a direct and a stochastic dependence of arrival time on energy, due to an additional spreading of wavepackets.