The Aggregated Absolute Force of the Two Opposite Forces in an Extremal Black Holes Seems to Be c^4/G

Gibbons [1], Schiller [2, 3], and several others [4] have suggested that the maximum force is F ≤ c^4/4G , with a corresponding maximum power of P = cF ≤ c^5/4H . However, we demonstrate 4G 4G that for the intriguing extremal solutions of the Reissner–Nordstr ̈om, Kerr, Kerr–Newman, and Haug–Spavieri metrics, the maximum force appears to be F_max = c^4/H , which is identical to the Planck force, F_p = c^4/G . The situation becomes even more interesting when we consider that the total force in an extremal black hole likely must be split into two components. It is well known that, in an extremal Reissner–Nordstrom black hole, the electrostatic force exactly offsets the gravitational force. This implies that half of the equivalent mass contributes to the electrostatic repulsion and half to the gravitational attraction, resulting in a maximum acting force of F = c^4/G for each component.