From Dirac theories in curved space‐times to a variation of Dirac's large–number hypothesis

@article{Jentschura2014FromDT,
  title={From Dirac theories in curved space‐times to a variation of Dirac's large–number hypothesis},
  author={Ulrich D. Jentschura},
  journal={Annalen der Physik},
  year={2014},
  volume={526}
}
An overview is given of recent developments in the field of Dirac equations generalized to curved space-times. An illustrative discussion is provided. We conclude with a variation of Dirac's large-number hypothesis which relates a number of physical quantities on cosmological scales. 
Gravitational Interactions and Fine-Structure Constant
Electromagnetic and gravitational central-field problems are studied with relativistic quantum mechanics on curved space-time backgrounds. Corrections to the transition current are identified.

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