Role of Pauli Principle

Valery Novikov, Eckehart Nolte, A.A. Pomanskii

Lev B. Okun

This brief critical review discusses attempts to check the accuracy with which experiments confirm conservation of electrical charge and the Pauli principle. The unavailability is emphasized of an internally consistent phenomenological theory which could describe a violation of charge conservation and/or of the Pauli principle. Longitudinal photons play a fundamental role in nonconservation of charge. New proposals concerning verification of the Pauli principle are discussed.

Luca De Paolis, Aidin Amirkhani, Sergio Bartalucci +27 more

Abstract The VIP experiment performed an accurate investigation of the Pauli Exclusion Principle for electrons. The apparatus was installed in the Gran Sasso Laboratories of the National Institute of Nuclear Physic in Italy, an underground environment with an extremely low cosmic background. The aim of the experiment was to test the Pauli Exclusion Principle for electrons in a copper target circulated by a Direct Current (DC) current, searching for X-rays emission due to an atomic transition forbidden by Pauli exclusion principle, from the L shell to the K shell of copper when the K shell is already occupied by two electrons. VIP set an upper limit on the Pauli exclusion principle violation probability 1/2β 2 <4.7 χ 10–29. The goal of the upgraded VIP-2 experiment, presently in data taking at Gran Sasso Laboratories, is to improve this limit by two orders of magnitude. The VIP-2 experimental apparatus, in which the Silicon Drift Detectors have the key role of X-ray detectors, and preliminary results are presented.

Mariusz Gajda, Jan Mostowski, Tomasz Sowiński +1 more

We predict existence of Pauli crystals -- so far undiscovered form of matter organization on the microscopic level. The predicted crystalline structure is present in a non-interacting system of a few quantum particles, only because of the Fermi-Dirac statistics. This finding touches one of the most fundamental principles of Quantum Theory, namely the Pauli exclusion principle and shows its role from a geometric perspective.