  A $(3+1)$-dimensional asymptotically flat Kerr black hole angular speed
$\Omega_+$ can be used to define an effective spring constant, $k=m\Omega_+^2$.
Its maximum value is the Schwarzschild surface gravity, $k = \kappa $, which
rapidly weakens as the black hole spins down and the temperature increases. The
Hawking temperature is expressed in terms of the spring constant: $2\pi T =
\kappa - k$. Hooke's law, in the extremal limit, provides the force $F = 1/4$,
which is consistent with the conjecture of maximum force in general relativity.
