双缝和中子干涉实验中粒子间关联的p-adic概率预测
p-adic probability prediction of correlations between particles in the two-slit and neutron interferometry experiments
摘要：
本文从费曼的观点出发，用负概率来描述双缝实验和其它量子干涉实验。在形式上，我们可以用负概率分布在量子力学的纯粒子图象的基础上解释双缝实验的结果。然而，在标准柯尔莫哥洛夫概率论的框架中，负概率是荒谬的对象。我们提出了一个大类的非Kolmogorphan概率模型，负概率定义的频率的基础上。这些模型的概率属于所谓的$p$ -进数域。然而，这些模型的特征在于轨迹之间的相关性。因此，我们在干涉实验中预测粒子之间的相关性。事实上，我们的预言与所谓的量子力学的非遍历解释的预言相似，后者是由V. Buonomano提出的。我们提出了具体的实验（特别是，在中子干涉仪的框架）来验证我们的预测的相关性。
英文摘要：
We start from Feynman`s idea to use negative probabilities to describe the two slit experiment and other quantum interfernce experiments. Formally by using negative probability distributions we can explain the results of the two slit experiment on the basis of the pure corpuscular picture of quantum mechnanics. However, negative probabilities are absurd objects in the framework of the standard Kolmogorov theory of probability. We present a large class of non-Kolmogorovean probability models where negative probabilities are well defined on the frequency basis. These are models with probabilities which belong to the so-called field of $p$-adic numbers. However, these models are characterized by correlations between trails. Therefore, we predict correlations between particles in interference experiments. In fact, our predictions are similar to the predictions of the so-called nonergodic interpretation of quantum mechanics, which was proposed by V. Buonomano. We propose the concrete experiments (in particular, in the framework of the neutron interferometry) to verify our predictions on the correlations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
