On the Necessity of Rational Velocities: a Gedankenexperiment

TL;DR

This paper presents a thought experiment demonstrating that rational velocity values are a necessary condition derived from classical electromagnetism and quantum mechanics, linking to Dirac's charge quantization.

Contribution

It introduces a gedankenexperiment that shows the necessity of rational velocities from fundamental physics principles, connecting electromagnetism and quantum mechanics.

Findings

Rational velocities emerge as necessary conditions from classical electromagnetism and quantum mechanics.

The restriction on velocities is connected to Dirac's electric charge quantization.

The work provides a conceptual link between velocity restrictions and charge quantization.

Abstract

In the present contribution we propose a gedankenexperiment in which the restriction of rational values on the velocities emerges as a necessary condition from Classical Electromagnetism and Quantum Mechanics. This restriction is shown to be intimately connected to Dirac's electric charge quantization condition.