论文标题
量子Bradyons和Tachyons的机械类似物
A mechanical analog of quantum bradyons and tachyons
论文作者
论文摘要
我们提出了量子波颗粒二元性的机械类似物：通过自由移动的珠子或“ masslet”螺纹的振动串。对于小弦幅度，粒子运动由一组将波场与Masslet Dynamics相结合的非线性动力学方程组成。在特定条件下，粒子实现了{\ it透明度}的策略，其中磁场和粒子的动力学似乎是分离的。在这种特殊情况下，粒子可以保留其动量，并出现带有真实或虚构质量的klein-gordon方程的引导波。与de Broglie的双分解理论相似，该引导波与粒子共同移动的调节群锁定。有趣的是，与较慢的Bradyons以及假设的，比颗粒物理学的较快的tachyons一样，亚音速和超音速颗粒都可以落入量子状态。
We present a mechanical analog of a quantum wave-particle duality: a vibrating string threaded through a freely moving bead or `masslet'. For small string amplitudes, the particle movement is governed by a set of non-linear dynamical equations that couple the wave field to the masslet dynamics. Under specific conditions, the particle achieves a regime of {\it transparency} in which the field and the particle's dynamics appear decoupled. In that special case, the particle conserves its momentum and a guiding wave obeying a Klein-Gordon equation, with real or imaginary mass, emerges. Similar to the double-solution theory of de Broglie, this guiding wave is locked in phase with a modulating group-wave co-moving with the particle. Interestingly, both subsonic and supersonic particles can fall into a quantum regime as with the slower-than-light bradyons and hypothetical, faster-than-light tachyons of particle physics.
