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

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.

arXiv comment8 pages. Accepted for publication in International Journal of Mathematics and Mathematical Sciences

References in corpus (5)

• Indications of a spatial variation of the fine structure constant
• Manifestations of a spatial variation of fundamental constants on atomic clocks, Oklo, meteorites, and cosmological phenomena
• Is there further evidence for spatial variation of fundamental constants?
• Domain Wall Dominated Universes
• Dangerous implications of a minimum length in quantum gravity