The Quantum State Dependent Gauge Fields of Jacobi

Abstract

It is commonly understood that the Yang-Mills non-Abelian gauge fields is the natural generalization of the well known Abelian gauge group symmetry U(1) in the electrodynamics. Taking into account that the problems of the localization and divergences in QFT are not solved in the framework of the Standard Model (SM), I proposed a different approach to the quantum theory of the single self-interacting electron. In connection with this theory, I would like attract the attention to the state-dependent gauge transformations U(1) x U(N-1) associated with the Jacobi vector fields of the geodesic variations in the complex projective Hilbert space CP(N-1) of the unlocated quantum states (UQS's).