  The thermodynamics of black holes is discussed for the case, when the Newton
constant $G$ is not a constant, but is the thermodynamic variable. This gives
for the first law of the Schwarzschild black hole thermodynamics:
$dS_\text{BH}= -AdK + \frac{dM}{T_\text{BH}}$, where the gravitational coupling
$K=1/4G$, $M$ is the black hole mass, $A$ is the area of horizon, and
$T_\text{BH}$ is Hawking temperature. From this first law it follows that the
dimensionless quantity $M^2/K$ is the adiabatic invariant, which in principle
can be quantized if to follow the Bekenstein conjecture. From the Euclidean
action for the black hole it follows that $K$ and $A$ serve as dynamically
conjugate variables. This allows us to calculate the quantum tunneling from the
black hole to the white hole, and determine the temperature and entropy of the
white hole.
