Probabilistic physics and quantum mechanics

Leon W. Cohen

Slavnov D. A

It is shown that probabilistic treatment of quantum mechanics can be coordinated with causality of all physical processes. The physical interpretation of quantum-mechanical phenomena such as process of measurement and collapse of quantum state is given.

Diederik Aerts

Suyu Li, Xia Yu, Mingxing Jin

Abstract Quantum mechanics is a physical theory based on statistical laws and can merely predict probabilities for the measurement outcomes, suggesting that it is an average description. Due to the lack of all the details of microscopic physical objects, only probabilistic predictions can be made for physical phenomena. In this paper, we discuss the root of the probabilistic descriptions in quantum theory by recalling the single photon interference experiments conducted by two commonly used optical interferometric systems: the Mazh–Zehnder interferometer (MZI) and Young’s double-slit system (YDS). Though they are both two-path interference, it is shown that the quantum mechanics can provide deterministic predictions for the measurement outcomes in some special cases by adopting the MZI, while only probabilistic predictions can be provided for the measurement outcomes by adopting the YDS. We hope this work can help to understand the probabilistic nature of quantum mechanics.

Carl Friedrich von Weizsäcker

R.KH. RAKHIMOV

Quantum mechanics based on the probabilistic approach provides a powerful tool for accurate prediction and interpretation of quantum phenomena, allowing statistically sound predictions about the behavior of microparticles and quantum systems. This statement emphasizes the probabilistic nature of quantum mechanics, its applicability to quantum phenomena and microparticles, as well as the statistical nature of its predictions when applied to the macro effects of classical physics. In addition, the role of statistics and probability in various fields of science, such as particle physics, thermodynamics, biology, sociology, psychology, economics and finance, is discussed. The philosophical implications of the probabilistic approach and the associated limitations and challenges are also considered.