论文标题

波函数不能是真实波,然后我们可以说粒子本体

The Wave Function Cannot be a Real Wave Then Can We Speak of an Ontology of Particles

论文作者

Wechsler, Sofia

论文摘要

波功能是通过我们的设备传播的物理现实吗?它是真实的波浪,还是它只是计算测量结果概率的数学工具?量子力学(QM)的不同解释对此问题采用了不同的答案。本文表明,当调用特殊相对论时,波函数是真实波是一个真实波的假设,这与QM的预测矛盾。因此,本文集中于猜想我们设备中移动的现实是颗粒的解释,它们在波函数的约束下移动。与此图片相匹配的de Broglie Bohm解释假设粒子沿着连续的轨迹行进。但是,事实证明,连续轨迹的想法与量子预测构成了矛盾。因此,这里不考虑这种解释。 S. Gao猜想粒子是永久的随机和不连续运动(RDM)。随着它一直在一个地方跳跃,在特定时间的占用位置的总组合由波函数的绝对平方给出。作为他想法的动机,高(Gao)认为,如果一个带电的粒子同时在两个或多个位置同时同时在两个或多个位置,则粒子的副本将相互排斥,从而破坏波浪函数。在这里证明了量子形式主义使这种动机错误。尽管驳斥了这种动机,但在这里检查了RDM解释。研究了这种解释的两个问题,并证明它们不会导致与QM预测的任何可观察到的矛盾,除了一个似乎没有解决方案的问题。总的来说,看来QM的广泛解释没有任何矛盾。

Is the wave function a physical reality traveling through our apparatus? Is it a real wave, or it is only a mathematical tool for calculating probabilities of results of measurements? Different interpretations of the quantum mechanics (QM) assume different answers to this question. It is shown in this article that the assumption that the wave function is a real wave entails a contradiction with the predictions of the QM, when the special relativity is invoked. Therefore, this text concentrates on interpretations which conjecture that the reality that moves in our apparatuses is particles, and they move under the constraints of the wave function. The de Broglie Bohm interpretation, which matches this picture, assumes that the particle travels along a continuous trajectory. However, the idea of continuous trajectories was proved to lead to a contradiction with the quantum predictions. Therefore this interpretation is not considered here. S. Gao conjectured that the particle is in a permanent random and discontinuous motion (RDM). As it jumps all the time from place to place, the total set of occupied positions at a certain time is given by the absolute square of the wave function. As motivation for his idea, Gao argued that if a charged particle were simultaneously in two or more locations at the same time, the copies of the particle would repel one another, destroying the wave function. It is proved here that the quantum formalism renders this motivation wrong. Although refuting this motivation, the RDM interpretation is examined here. A couple of problems of this interpretation are examined and it is proved that they do not lead to any observable contradictions with the QM predictions, except one problem which seems to have no solution. In all, it appears that none of the wide-spread interpretations of the QM is free of contradictions.

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