2009/09/26 by Mu-Lin Yan, Yan, Mu-Lin · 1 citation
Chemistry · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #Various Chemistry Research Topics #gr-qc #hep-ph #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.0909.4829
29 pages, 2 figure
openalex publication_date 2009/09/26 · arxiv created 2009/11/21 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we have solved the de Sitter special relativistic (SRcR-) Dirac equation of hydrogen in the earth-QSO(quasar) framework reference by means of the adiabatic approach. The aspects of geometry effects of de Sitter space-time described by Beltrami metric are explored and taken into account. It is found that the SRcR-Dirac equation of hydrogen is a time dependent quantum Hamiltonian system. We provide an explicit calculation to justify the adiabatic approach in dealing with this time-dependent system. Since the radius of de Sitter sphere R is cosmologically large, the evolution of the system is very slow so that the adiabatic approximation legitimately works with high accuracy. We conclude that the electromagnetic fine-structure constant, the electron mass and the Planck constant are time variations. This prediction of fine-structure constant is consistent with the presently available observation data. For confirming it further, experiments/observations are required.