### Abstract

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 α_{QED} ∝ (α_{G})^{1/2}, where α_{QED} is the electrodynamic fine-structure constant, and α_{G} its gravitational analogue.

Original language | English |
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Pages (from-to) | 115-122 |

Number of pages | 8 |

Journal | Bled Workshops in Physics |

Volume | 15 |

Issue number | 2 |

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

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## Cite this

*Bled Workshops in Physics*,

*15*(2), 115-122.