On the value of coupling constant

TL;DR

This paper proposes a novel explanation for the specific value of the coupling constant at the grand unification scale, based on an analogy with quantum harmonic oscillators and the Bogomol'nyi bound.

Contribution

It introduces a new theoretical approach linking the coupling constant to quantum mechanical analogies and the Bogomol'nyi bound.

Findings

Coupling constant value is explained as 1/8π.

Analogy between Bogomol'nyi bound and harmonic oscillator is established.

Provides a potential theoretical basis for coupling constant value at unification scale.

Abstract

Using an analogy between Bogomol'nyi bound and the harmonic oscillator in quantum mechanics we propose a possible explanation of the coupling constant numerical value at the grand unification scale. It is found to be $1/8\pi$.