论文标题
克莱恩相对的含义
Implications of Kleinian relativity
论文作者
论文摘要
受到超材料的启发，我们提出了kleinian时空中颗粒的协变量力学，并显示了其一些效果，例如时间收缩和长度扩张。我们提供了针对点状粒子的相对论动量和能量的新表达式。为了说明新的力学，我们描述了均匀的牛顿引力场下的粒子运动。我们还重新审视了克莱恩时空中的自由旋转半颗粒问题，讨论了一些量子含义，例如对Weyl Fermions的分散关系的约束，并将超材料模拟系统适应Klein SpaceTime。
Inspired in metamaterials, we present a covariant mechanics for particles in Kleinian spacetime and show some of its effects, such as time contraction and length dilatation. We present the new expressions for relativistic momentum and energy for a point-like particle. To illustrate the new mechanics, we describe the particle motion under a uniform Newtonian gravitational field. We also revisit the free spin-half particle problem in Kleinian spacetime, discuss some quantum implications, like the constraint on the dispersion relation for Weyl fermions, and adapt a metamaterial analog system to Klein spacetime.
