Electromagnetic and gravitational central-field problems are studied with relativistic quantum mechanics on curved space-time backgrounds. Corrections to the transition current are identified. Analogies of the gravitational and electromagnetic spectra suggest the definition of a gravitational fine-structure constant. The electromagnetic and gravitational coupling constants enter the Einstein-Hilbert-Maxwell Lagrangian. We postulate that the variational principle holds with regard to a global dilation transformation of the space-time coordinates. The variation suggests is consistent with a functional relationship of the form αQED ∝ (αG)1/2, where αQED is the electrodynamic fine-structure constant, and αG its gravitational analogue.
|Number of pages||8|
|Journal||Bled Workshops in Physics|
|Publication status||Published - Dec 1 2014|
|Event||2014 17th Workshop on What Comes Beyond the Standard Models - Bled, Slovenia|
Duration: Jul 20 2014 → Jul 28 2014
ASJC Scopus subject areas
- Modelling and Simulation