How the conservation of charge can lead to a faster-than-c effect: A simple example

TL;DR

This paper demonstrates theoretically that charge conservation can imply superluminal effects, showing electrons reappear instantly on a sphere's surface, which challenges conventional notions of causality and relativity.

Contribution

It provides a simple example illustrating how charge conservation can lead to faster-than-light phenomena, with implications for general relativity.

Findings

Electrons reappear instantly on the sphere's surface

Charge conservation can imply superluminal effects

Potential implications for general relativity

Abstract

Starting from the continuity equation and Ohm's law, it is demonstrated that electrons incident upon the center of a copper sphere will reappear instantly on the surface of the sphere. Consequences of such superluminal phenomena for general relativity will be discussed.