Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Mass Generation and Non-Euclidean Metric from Fractional Dynamics

Version 1 : Received: 11 November 2020 / Approved: 12 November 2020 / Online: 12 November 2020 (14:22:46 CET)

How to cite: Goldfain, E. Mass Generation and Non-Euclidean Metric from Fractional Dynamics. Preprints 2020, 2020110350 (doi: 10.20944/preprints202011.0350.v1). Goldfain, E. Mass Generation and Non-Euclidean Metric from Fractional Dynamics. Preprints 2020, 2020110350 (doi: 10.20944/preprints202011.0350.v1).

Abstract

Fractional-time Schrödinger 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 the standard index . Working in the context of the minimal fractal manifold (where , ), we confirm here that FTSE approximates the attributes of gravitational metric and provides an unforeseen generation mechanism for massive fields.

Subject Areas

Fractional dynamics, fractional time Schrödinger equation, fractional field theory, minimal fractal manifold, mass generation, curvilinear coordinates, General Relativity.

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