Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-12-14
Class.Quant.Grav. 23 (2006) 3111-3122
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, 3 figures: revised version published in Class. Quantum Grav. 23 (2006) 3111-3122; Conclusions unchanged
Scientific paper
10.1088/0264-9381/23/9/021
It is shown that Einstein gravity tends to modify the electric and magnetic fields appreciably at distances of the order of the Compton wavelength. At that distance the gravitational field becomes spin dominated rather than mass dominated. The gravitational field couples to the electromagnetic field via the Einstein-Maxwell equations which in the simplest model causes the electrostatic field of charged spinning particles to acquire an oblate structure relative to the spin direction. For electrons and protons, a pure Coulomb field is therefore likely to be incompatible with general relativity at the Compton scale. In the simplest model, the magnetic dipole corresponds to the Dirac g-factor, g=2. Also, it follows from the form of the electric field that the electric dipole moment vanishes, in agreement with current experimental limits for the electron. Quantitatively, the classical Einstein-Maxwell theory predicts the magnetic and electric dipoles of the electron to an accuracy of about one part in 10^{-3} or better. Going to the next multipole order, one finds that the first non-vanishing higher multipole is the electric quadrupole moment which is predicted to be -124 barn for the electron. Any non-zero value of the electric quadrupole moment for the electron or the proton would be a clear sign of curvature due to the implied violation of rotation invariance. There is also a possible spherical modification of the Coulomb force proportional to r^{-4}. However, the size of this effect is well below current experimental limits. The corrections to the hydrogen spectrum are expected to be small but possibly detectable.
No associations
LandOfFree
Gravitationally induced electromagnetism at the Compton scale does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gravitationally induced electromagnetism at the Compton scale, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gravitationally induced electromagnetism at the Compton scale will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-226858