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Quantum nonlocality and conservation of momentum

机译:量子非局部性和动量守恒

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Herein, we review a many-body relativistic theory in the context of quantum entangle- ment and nonlocality. We extract from a collection of charged particles a formulation which obeys (i) particle-particle symmetry, (ii) conservation rules for the total canonical momentum and total energy, (iii) Maxwell's equations, and (iv) relativistic invariance. An important aspect related to quantum entanglement is the existence and the formulation of a conservation law for total general- ized momenta within a relativistic action-at-a-distance framework for such a collection of charged particles. It is thus found that there is more correspondence between some of the older Machian notions of classical mechanics and quantum entanglement than previously realized and it is sug- gested that the apparent nonlocal effects in quantum mechanics can be explained without having to resort to any violation of causality thanks to a "handshake" principle resulting from Hamilton's principle applied to a closed system of charged particles as a whole ensemble.
机译:本文中,我们在量子纠缠和非局部性的背景下回顾了多体相对论。我们从一个带电粒子集合中提取一个符合以下条件的公式:(i)粒子-粒子对称性;(ii)总规范动量和总能量的守恒规则;(iii)Maxwell方程;以及(iv)相对论不变性。与量子纠缠有关的一个重要方面是,在相对论远距离行为框架内,对于这种带电粒子的集合,总广义矩的守恒律的存在和制定。因此发现,一些较早的古典力学的Machian概念与量子纠缠之间的对应关系比以前的认识要多,并且建议可以解释量子力学中明显的非局部效应,而不必诉诸于因果关系归因于汉密尔顿原理产生的“握手”原理,该原理应用于整个带电粒子的封闭系统中。

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