Mass Generation and Non-Euclidean Metric from Fractional Dynamics

Abstract

Fractional-time Schrodinger equation (FTSE) describes the evolution of quantum processes endowed with memory effects. FTSE manifestly breaks all consistency requirements of quantum field theory (unitarity, locality and compliance with the clustering theorem), unless the order of fractional differentiation and integration falls close to one. Working in the context of the minimal fractal manifold, we confirm here that FTSE a) provides an unforeseen generation mechanism for massive fields and, b) approximates the attributes of gravitational metric.