Electromagnetic Magic: The Relativistically Rotating Disk

TL;DR

This paper derives an exact electromagnetic field solution for a rotating charged disk at all speeds up to light, revealing connections to black hole physics and electron properties, and introduces new mathematical expressions involving Legendre functions.

Contribution

It provides a closed-form analytic solution for the electromagnetic field of a relativistically rotating disk, linking it to Kerr-Newman black holes and electron characteristics, and introduces novel Legendre function identities.

Findings

Field energy and angular momentum calculated and compared to electron values.

At light speed, the field matches the Kerr-Newman black hole's Magic field.

New mathematical expression involving Legendre functions demonstrated.

Abstract

A closed form analytic solution is found for the electromagnetic field of the charged uniformly rotating conducting disk for all values of the tip speed $v$ up to $c$. For $v=c$ it becomes the Magic field of the Kerr-Newman black hole with $G$ set to zero. The field energy, field angular momentum and gyromagnetic ratio are calculated and compared with those of the electron. A new mathematical expression that sums products of 3 Legendre functions each of a different argument, is demonstrated.