The influence of the Lande $g$-factor in the classical general relativistic description of atomic and subatomic systems

Details The influence of the Lande $g$-factor in the classical general relativistic description of atomic and subatomic systems The influence of the Lande $g$-factor in the classical general relativistic description of atomic and subatomic systems

2010-09-12

arxiv.org/abs/1009.2214v2

Class.Quant.Grav.28:055002,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 2 figures

Scientific paper

10.1088/0264-9381/28/5/055002

We study the electromagnetic and gravitational fields of the proton and electron in terms of the Einstenian gravity via the introduction of an arbitrary Lande $g$-factor in the Kerr-Newman solution. We show that at length scales of the order of the reduced Compton wavelength, corrections from different values of the $g$-factor are not negligible and discuss the presence of general relativistic effects in highly ionized heavy atoms. On the other hand, since at the Compton-wavelength scale the gravitational field becomes spin dominated rather than mass dominated, we also point out the necessity of including angular momentum as a source of corrections to Newtonian gravity in the quantum description of gravity at this scale.

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