Particles and fields within a unification scheme

TL;DR

This paper explores how particles and fields behave in higher-dimensional space-times, demonstrating geometrization of gauge interactions and deriving particle motion and gauge coupling mechanisms through dimensional reduction.

Contribution

It presents a unification scheme in multi-dimensional space-time, showing how gauge interactions and particle properties emerge from geometric and dimensional reduction methods.

Findings

Charged spinning bodies' motion derived in a 5D Kaluza-Klein framework

Gauge coupling identified through extra-coordinate dependence

Dimensional reduction explains gauge interactions for spinors

Abstract

We discuss properties of particles and fields in a multi-dimensional space-time, where the geometrization of gauge interactions can be performed. For instance, in a 5-dimensional Kaluza-Klein manifold we argue that the motion of charged spinning bodies is obtain in a Papapetrou-like formulation. As far as spinors are concerned, we outline how the gauge coupling can be recognized by a proper dependence on extra-coordinates and by the dimensional reduction procedure.