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

Abstract

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.

arXiv comment11 pages, 2 figures

References in corpus (16)

• Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
• Corrections and Comments on the Multipole Moments of Axisymmetric Electrovacuum Spacetimes
• Leading quantum gravitational corrections to scalar QED
• Realistic Exact Solution for the Exterior Field of a Rotating Neutron Star
• Effective Field Theory of Gravity: Leading Quantum Gravitational Corrections to Newtons and Coulombs Law
• Frame dragging, vorticity and electromagnetic fields in axially symmetric stationary spacetimes
• Twistorial Analyticity and Three Stringy Systems of the Kerr Spinning Particle
• Kerr-Newman solution as a Dirac particle
• Orientifold D-String in the Source of the Kerr Spinning Particle
• GUTs in Curved Spacetime: Running Gravitational Constants, Newtonian Potential and the Quantum Corrected Gravitational Equations
• Leading quantum gravitational corrections to QED
• Gravitationally induced electromagnetism at the Compton scale
• Note on reflection symmetry in stationary axisymmetric electrovacuum spacetimes
• Scalar QED $\hslash$-Corrections to the Coulomb Potential
• Classical Models of Subatomic Particles
• Rotating Black Hole, Twistor-String and Spinning Particle

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• Stealth Chaos due to Frame Dragging