I wonder, if we draw enough heat out... would the core cool enough to shrink? And if so, would the crust collapse to the new size?
Pure speculation of course, but did the first guy burning coal know the outcome?
Anyhow, I love geothermal, think you're right, but just got tweaked on the word "infinite".
Q = m c ΔT
m = mass of the crust (roughly 10^22 kg)
C = specific heat of crust (roughly 1000 J/kg·K)
ΔT = 1 K
Q = 10^25 joules would be needed to lower the earths crust by 1 degree K
About 10,000 years worth of today’s human energy consumption
We know how weather works quite well, but knowing if it will rain in a week is an entirely different beast.
My memory is that the calculation found that if humanity switched to geothermal for all its energy needs, then in only about 1000 years, the core cools enough for the magnetic field to stop, but I am not sure.
(We should definitely deploy geothermal in the Yellowstone caldera though long enough to cool it down enough so that it will not erupt again.)