Inducing charges and currents from extra dimensions

TL;DR

This paper demonstrates that charges and currents in four-dimensional spacetime can be geometrically induced from a five-dimensional Minkowskian vacuum, extending the induced-matter theory to electromagnetic phenomena.

Contribution

It introduces a method to induce four-dimensional charges and currents from a five-dimensional vacuum using Maxwell's equations in a Minkowskian geometry, complementing existing induced-matter models.

Findings

Charges and currents can be geometrically induced from 5D vacuum.

The approach extends induced-matter theory to electromagnetism.

Demonstrates a geometric origin for electromagnetic phenomena.

Abstract

In a particular variant of Kaluza-Klein theory, the so-called induced-matter theory (IMT), it is shown that any configuration of matter may be geometrically induced from a five-dimensional vacuum space. By using a similar approach we show that any distribution of charges and currents may also be induced from a five-dimensional vacuum space. Whereas in the case of IMT the geometry is Riemannian and the fundamental equations are the five-dimensional Einstein equations in vacuum, here we consider a Minkowskian geometry and the five-dimensional Maxwell equations in vacuum.