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 1054 erg for a black hole of the solar mass size. With this mechanism we can set a lower bound on the coupling ξ∼10-38 between electromagnetic and gravitational fields that might be used to explain the hypothetical extremely high energy release, >1053 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.