If the inside of the house is already slightly warmer than the outside (or could be made so by a brief use of an electric fire to get things moving) could a Stirling Engine be used to operate a heat pump?
ISTR that there have been historic uses of Stirling Engines to operate refrigerators and other industrial appliances before the widespread availability of electricity.
Now that the cost of electricity is soaring, could Stirling Engines arise from the grave to give us effectively free heating?
Yes the Stirling Engine does use up some heat but the whole basis of the heat pump is that you get out more energy than you put in.