论文标题
爱因斯坦对量子体的等效原理的崩溃
Breakdown of the Einstein's Equivalence Principle for a quantum body
论文作者
论文摘要
我们回顾了有关宏观量子体的被动重力质量与能量之间的不等值的最新理论结果。特别是,我们认为最简单的复合量子体 - 氢原子的宏观集合。我们的结果如下。对于大多数合奏,爱因斯坦的等价原则是有效的。另一方面,我们讨论了一些特殊的量子集合 - 氢原子中固定量子状态的相干叠加的集合(我们称之为引力恶魔) - 被动重力质量和能量之间的等效原理被损坏。我们表明,对于这种叠加,被动引力质量的期望值与著名的爱因斯坦方程的能量的期望值无关,即$ m_g \ neq \ neq \ frac {e} {c^2} $。简要讨论了地球实验室的可能实验,与在太空任务期间发现爱因斯坦等价原则可能破裂的众多尝试和项目相反。
We review our recent theoretical results about inequivalence between passive gravitational mass and energy for a composite quantum body at a macroscopic level. In particular, we consider macroscopic ensembles of the simplest composite quantum bodies - hydrogen atoms. Our results are as follows. For the most ensembles, the Einstein's Equivalence Principle is valid. On the other hand, we discuss that for some special quantum ensembles - ensembles of the coherent superpositions of the stationary quantum states in the hydrogen atoms (which we call Gravitational demons) - the Equivalence Principle between passive gravitational mass and energy is broken. We show that, for such superpositions, the expectation values of passive gravitational masses are not related to the expectation values of energies by the famous Einstein's equation, i.e, $m_g \neq \frac{E}{c^2}$. Possible experiments at the Earth's laboratories are briefly discussed, in contrast to the numerous attempts and projects to discover the possible breakdown of the Einstein's Equivalence Principle during the space missions.