2015/02/01 by U. D. Jentschura, Ulrich D. Jentschura, J. H. Noble +6
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Noncommutative and Quantum Gravity Theories #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1502.00622
9 pages; LaTeX; Appeared in the Proceedings to the 17th Bled workshop "What Comes Beyond the Standard Models", Bled, Slovenia, July 2-28, 2014; Editors N. S. Mankoc Borstnik, H. B. Nielsen and D. Lukman; ISSN 1580-4992; book series: Bled Workshops in Physics vol. 15, no. 2, pp. 115-122 (2014)
arxiv created 2015/02/01 · openalex publication_date 2015/02/01 · arxiv updated 2015/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 alphaQED being proportional to alphaG^(1/2), where alphaQED is the electrodynamic fine-structure constant, and alphaG its gravitational analogue.