论超光速德布罗意波的真实性
On Reality of Tachyonic de Broglie Waves
摘要：
我们研究了与自由量子物体相关的德布罗意物质波的超光速性质，以表明赋予它们真实性将使真实的量子描述变得完整。基于著名的Einstein-de Broglie相速度与粒子速度互逆关系的稳健性，我们将互补性的概念推广到相速度与粒子速度之间，从而提出了慢子与其对应的快子之间的互补关系（即相关的物质波）赋予快子一定程度的真实性，至少与缓子相当，在当前的量子物理学和扩展相对论的框架内。对偶性被用来论证，由于观察到的缓子的局部性质，快子应该总是普遍或全球性的，因此，不可能有点状快子。指出了关于爱因斯坦-德布罗意关系的非相对论性极限的一个普遍误解，并纠正了由此产生的长期错误。
英文摘要：
We investigate the tachyonic nature of the de Broglie matter waves associated with a free quantum object to show that granting reality to them would lend completeness to the quantum description of reality. Basing on the robustness of the well known Einstein-de Broglie reciprocal relation between the phase and the particle velocities, we extend the concept of complementarity to them and thereby propose a complementary relation between a bradyon and its corresponding tachyon (i.e. the associated matter wave) to endow the tachyons with a degree of reality, at least on par with the bradyons, within the current framework of quantum physics and extended relativity. The duality is used to argue that because of the observed localised nature of bradyons, tachyons should always be pervasive or global in character and thus, there can be no point-like tachyons. A common misconception regarding the nonrelativistic limit of the Einstein-de Broglie relation is pointed out and the consequent error of long standing is remedied.
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