Fine Structure Constant, Domain Walls, and Generalized Uncertainty Principle in the Universe

TL;DR

This paper investigates how the generalized uncertainty principle and the presence of a domain wall affect the fine-structure constant and the energy levels of the hydrogen atom, extending previous models in theoretical physics.

Contribution

It introduces a generalized framework for analyzing the effects of domain walls and the generalized uncertainty principle on fundamental constants and atomic energies.

Findings

Corrections to the fine-structure constant due to domain walls and GUP

Modified energy levels of hydrogen atom in the presence of domain walls and GUP

Generalization of previous models in the literature

Abstract

We study the corrections to the fine-structure constant from the generalized uncertainty principle in the spacetime of a domain wall. We also calculate the corrections to the standard formula to the energy of the electron in the hydrogen atom to the ground state, in the case of spacetime of a domain wall and generalized uncertainty principle. The results generalize the cases known in literature.