A Lower Bound on the Number of Fundamental Constants

TL;DR

This paper establishes that at least one fundamental constant is necessary for a complete mathematical description of the universe, providing a formal proof of this lower bound.

Contribution

It presents the first formal proof that the minimum number of fundamental constants needed is one.

Findings

Proves that the lower bound on fundamental constants is one.

Provides a formal arithmetized proof of this lower bound.

Abstract

We describe here, for the first time, a lower bound on the total number of fundamental constants required for a mathematical description of our physical universe to be complete. The answer is shown to be one. The formal arithmetized meta-mathematical proof of this is left to the reader.