“…The Lagrangian of such a theory contains the three U(1) gauge-invariant scalars R ikmn F ik F mn , R ik g mn F im F kn and RF mn F mn with coefficients proportional to the square of the Compton wavelength of the electron. Subsequently, a non-minimal coupling of gravity and electromagnetism has been discussed by a number of authors in different settings [8,9,10,11,12,13,14,15,16,17,18]. Non-minimally extended theories were used as a framework to discuss potential limitations of the equivalence principle [19,20,21]).…”