OK, so the issue here is that you’ve switched from a thermodynamic model of the gas atoms near the asteroid to one which ignores temperature at the shell. I’m not going to spend any more time on this because while it is fun, it’s not a good use of time.
One of the properties of the second law is that if you can’t find a single step in your mechanism which violates it, then the mechanism overall cannot violate it. Since you claim that every step in the process obeys the second law, the entire process must obey the second law. Even if I can’t find the error I can say with near-certainty that there is one.
For anyone reading: Please note that I do not claim this is a perpetual motion machine. I do not claim the setup breaks the second law. In fact, I claim the opposite, and I even think I have found a mechanism where entropy does increase with the required scaling. I think the answer to why the second law doesn’t break may be important and interesting.
OK, so the issue here is that you’ve switched from a thermodynamic model of the gas atoms near the asteroid to one which ignores temperature at the shell. I’m not going to spend any more time on this because while it is fun, it’s not a good use of time.
One of the properties of the second law is that if you can’t find a single step in your mechanism which violates it, then the mechanism overall cannot violate it. Since you claim that every step in the process obeys the second law, the entire process must obey the second law. Even if I can’t find the error I can say with near-certainty that there is one.
For anyone reading: Please note that I do not claim this is a perpetual motion machine. I do not claim the setup breaks the second law. In fact, I claim the opposite, and I even think I have found a mechanism where entropy does increase with the required scaling. I think the answer to why the second law doesn’t break may be important and interesting.