It is an idea. Suppose two blackbodies with different temperatures are in a black enclosure.
Such machine is impossible as it would violate first/second law of thermodynamics.
Answer to Q1: No. I am troubled that you are spending any time even considering this.
Place two objects inside a enclosure and eventually all three objects reach the same temperature.
In what way is this 'motion'?
If you are heating the two objects to maintain a temperature differential then I still do not see what you are trying to achieve.
All right. Although they eventually reach the same temperature, but the emission and absorption energy by a blackbody are not zero. Am I right?
Perpetual motion machine is possible.you can view my project.
See my project update' Balanced mass and gravity based perpetual motion machine' and above all it will work in closed system.
All physics Giants are confused.
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