We propose a new energy extraction mechanism from the rotational energy of a Kerr-Newman black hole by a gravitating massive photon field generated by electromagnetic and gravitational field coupling effects. Numerical studies show that this mechanism that depends on the black hole rotation parameter, $a$, shows a clear dependence on the black hole mass, $M$, and charge, $Q$, and can extract energies up to $1{0}^{54}\text{ }\text{ }\text{erg}$ for a black hole of the solar mass size. With this mechanism we can set a lower bound on the coupling $\ensuremath{\xi}\ensuremath{\sim}{10}^{\ensuremath{-}38}$ between electromagnetic and gravitational fields that might be used to explain the hypothetical extremely high energy release, $g{10}^{53}\text{ }\text{ }\text{erg}$, suggested by the observations of some gamma-ray bursts in the controversial ``energy crisis'' problem if and when gamma-ray bursts seem not to show evidence for collimated emission.