Relativity, Curved Space-Times, and the Dirac Equation for Atomic Systems

This talk attempts to contribute to the discussion, and in part, answer,

the following questions: Does the equivalence principle hold for

antiparticles? Is general relativity compatible with quantum mechanics,

and if not, where are the limits of "compatibility"? What kind of

gravitational effects could be seen in high-precision spectroscopy, and

in g factor measurements, where the experimental accuracy is absolutely

stupendous? How can we couple the Dirac equation to curved space-times?

Can we observe gravitational, position-dependent effects in atomic

physics as opposed to g factor measurements, and would these lead to tiny

violations of the Einstein equivalence principle? The talk is based on

calculations reported in [Phys. Rev. A vol. 98, 032508 (2018)].