P-ADIC PROBABILITY PREDICTION OF CORRELATIONS BETWEEN PARTICLES IN THE 2-SLIT AND NEUTRON INTERFEROMETRY EXPERIMENTS

We start from Feynman's idea to use negative probabilities to describe the two-slit experiment and other quantum interference experiments. F ormally by using negative probability distributions we can explain the results of the two-slit experiment on the basis of the pure corpuscul ar picture of quantum mechanics. However, negative probabilities are a bsurd objects in the framework of the standard Kolmogorov theory of pr obability. We present a large class of non-Kolmogorovean probability m odels where negative probabilities are well defined on the frequency b asis. These are models with probabilities which belong to the so-calle d field of p-adic numbers. However, these models are characterized by correlations between trails. Therefore, we predict correlations betwee n 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 t he concrete experiments (in particular, in the framework of the neutro n interferometry) to verify our predictions on the correlations.