Engineering Physics Annotation << Back Local gauge invariance of the Dirac equation based on the Pauli symmetry Urutskoev L.I. Filippov D.V. Hypothetical field appearing as a compensating gauge field of local Pauli symmetryisconsidered. It is shown, that the Dirac equation for zeromass particle is invariant underglobal change, leading to the conservation of the pseudoscalar and isovector charges. Consequently local gauge invariance leads to an equation with hypothetical interactions. If these interactions exist, they can lead to a change in the probability of nuclear decays with small boundary energy and occurring due to weak interaction. The local gauge transformations considered in this paper, are generalizations of the well-known Touschek-Salaam’s neutrino gauge transformations forming the basis for the theory of magnetic excited state neutrinos created by G. Loshak (the theory of massless magnetic monopole), in which an electric charge is a scalar value and a magnetic charge is its operator (matrix). This paper presents a generalized theory where both the electric and magnetic charges are various components of a generalized isotopic «charge». Key words: gauge invariance, Dirac equation, Pauli symmetry, probability of nuclear decays, low energy. Contacts: E-mail: urleon@yandex.ru Pp. 03-07.