How much electric surcharge fits on ... a white dwarf star?

TL;DR

This paper determines the maximum electric charge that can be stored on a failed white dwarf star made of protons and electrons, revealing that the charge limits are independent of fundamental constants like the speed of light and Planck's constant.

Contribution

It provides a simple method to calculate the maximum electric surcharge on a proton-electron star, showing independence from relativistic quantum effects.

Findings

Maximum charge range is independent of c and h.

Charge limits depend only on the number of protons.

Results apply to stabilized brown dwarf stars.

Abstract

The question how much surplus of electric charge ("surcharge") fits on an object is generally very difficult to answer. Here it is shown that it is easy to answer when the object is a \emph{failed white dwarf} star (a brown dwarf in its ground state) made of protons and electrons: Given the number of protons, how many electrons can there be? Surprisingly, the answer (in the form: as few as $\mathfrak{A}$ and as many as $\mathfrak{B}$) is independent of the speed of light $c$ and the Planck quantum $h$, even when the star is stabilized against collapse by relativistic quantum mechanics.