Renormalisation and the density of prime pairs

TL;DR

This paper applies concepts from physics, particularly quantum field theory, to prove that the density of prime pairs aligns with the Hardy-Littlewood conjecture, providing a novel approach to a longstanding problem.

Contribution

It introduces a physics-inspired method to establish the density of prime pairs, bridging number theory and quantum field theory techniques.

Findings

Prime pairs have the density predicted by Hardy and Littlewood.

Uses quantum field theory methods to handle infinities in number theory.

Provides a new proof of the prime pairs density conjecture.

Abstract

Ideas from physics are used to show that the prime pairs have the density conjectured by Hardy and Littlewood. The proof involves dealing with infinities like in quantum field theory.