Now if you were to get a window air conditioner (heat pump) and put it in the window backwards then you might put 1000W of electricity in and get 2000W or more of heat out. But a window AC won't come on once the outside temperature falls below a certain point.
With this and your BTC guild posts, we can safely conclude you really are mad
So stealing, people conspiring, air conditioners and heat pumps don't exist?
All these exists... just not an air conditioner that outputs 2000W or more with an input energy of 1000W in a room with a sub 500W mining machine.
Especially not when it is installed backwards with the radiator facing the inside of the room and the air vents facing outdoors during winter.
Of course I'm not a HVAC expert so feel free to illustrate technically how your perpetual motion aircon setup works
An air conditioner most definitely CAN output more heat than the power it consumes if placed in a window "backwards". It's called a heat pump, and it gives you more heat than just using that same electricity to make heat. Good heat pumps can have a COP (coefficient of performance) of over 6! So every watt it uses concentrates 6 watts of heat from one place and moves it to another. The highest I've seen is 7-something, which blows my mind.