Noether Theorem and Variation of Charges of the Universe

We present new approach to explanation of possible cosmological evolution of fundamental charges related to spinor particles. This approach is based on the use of modified version of massless Dirac equation with analytic dependence of wave-function on extra complex time-like parameter. We identify real and imaginary parts of complex time with absolute cosmological time and temperature, respectively, and study canonical structure of the theory. It is established, that gauge and energy-momentum Noether charges are temperature-dependent, and, moreover, that these quantities are related through their temperature dependence. It is argued, that total charges of the Universe must vary in accordance with temperature evolution in framework of realistic cosmological scenario.

Noether theorem, fundamental charges, cosmological evolution