Hydrogen Atom in de Sitter Special Relativity and Time Variation of
Fine-Structure Constant
M. Yan. (2010)cite arxiv:1004.3023
Comment: 35 pages, 4 figures.
Abstract
We have solved the de Sitter special relativistic ($SR_cR$-)
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 $SR_cR$-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. The
prediction of fine-structure constant is consistent with the presently
available observation data. For confirming it further, experiments/observations
are required.
Description
Hydrogen Atom in de Sitter Special Relativity and Time Variation of
Fine-Structure Constant
%0 Generic
%1 Yan2010
%A Yan, Mu-Lin
%D 2010
%K cosmology fine-structure-constant physics
%T Hydrogen Atom in de Sitter Special Relativity and Time Variation of
Fine-Structure Constant
%U http://arxiv.org/abs/1004.3023
%X We have solved the de Sitter special relativistic ($SR_cR$-)
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 $SR_cR$-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. The
prediction of fine-structure constant is consistent with the presently
available observation data. For confirming it further, experiments/observations
are required.
@misc{Yan2010,
abstract = { We have solved the de Sitter special relativistic ($\mathcal{SR}_{cR}$-)
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 $\mathcal{SR}_{cR}$-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. The
prediction of fine-structure constant is consistent with the presently
available observation data. For confirming it further, experiments/observations
are required.
},
added-at = {2010-04-20T17:33:39.000+0200},
author = {Yan, Mu-Lin},
biburl = {https://www.bibsonomy.org/bibtex/230a2b758989897e101b79750b9ac9e44/michael.sherbon},
description = {Hydrogen Atom in de Sitter Special Relativity and Time Variation of
Fine-Structure Constant},
interhash = {fa29169ed434d6fb8a7d616534afc1de},
intrahash = {30a2b758989897e101b79750b9ac9e44},
keywords = {cosmology fine-structure-constant physics},
note = {cite arxiv:1004.3023
Comment: 35 pages, 4 figures},
timestamp = {2010-04-20T17:33:39.000+0200},
title = {Hydrogen Atom in de Sitter Special Relativity and Time Variation of
Fine-Structure Constant},
url = {http://arxiv.org/abs/1004.3023},
year = 2010
}