04-07-2026, 07:19 AM
I ran this setup through 3 AI bots and none of them correctly identified the buoyant lift input required until I focused them on the lift by displaced volume, the expanded cylinder is 0.2 cubic meters larger in volume.
All 3 bots determined initially that I could not extract any energy from the compression of the cylinder until I had them view that condition by itself.
In the end there is approximately 18.5 kJ of energy I can extract from the expansion and another 18.5 kJ from the compression for each change in position. For each change in position I need to supply approximately 3.7 kJ of energy to make the change, so approximately 33 kJ of "free to me" energy that comes from the environment.
If I had no expectations then I would be misled by the answers the bots initially provided.
Now considering Verpies assertion that it should work using water. I at first pushed back on that consideration but, if I change the systems observation of what I have and what I need then it can work using water and gas as well.
If I used Helium gas and then extracted the heat out of the environment and used the gas change in pressure caused by heat the system could function. Down low in the water column I heat up the gas and it expands displacing more water, or at least makes it much easier for me to expand the cylinder, then, near the surface, I take the heat out of the gas and that makes it easier for me to compress the cylinder into a smaller volume making it easier to sink.
This then is primarily a heat exchange with the atmosphere. Using that heat to cause a pressure change in the gas allowing for an easier change in displaced volumes. With enough exchange of heat my costs could be next to nothing.
All 3 bots determined initially that I could not extract any energy from the compression of the cylinder until I had them view that condition by itself.
In the end there is approximately 18.5 kJ of energy I can extract from the expansion and another 18.5 kJ from the compression for each change in position. For each change in position I need to supply approximately 3.7 kJ of energy to make the change, so approximately 33 kJ of "free to me" energy that comes from the environment.
If I had no expectations then I would be misled by the answers the bots initially provided.
Now considering Verpies assertion that it should work using water. I at first pushed back on that consideration but, if I change the systems observation of what I have and what I need then it can work using water and gas as well.
If I used Helium gas and then extracted the heat out of the environment and used the gas change in pressure caused by heat the system could function. Down low in the water column I heat up the gas and it expands displacing more water, or at least makes it much easier for me to expand the cylinder, then, near the surface, I take the heat out of the gas and that makes it easier for me to compress the cylinder into a smaller volume making it easier to sink.
This then is primarily a heat exchange with the atmosphere. Using that heat to cause a pressure change in the gas allowing for an easier change in displaced volumes. With enough exchange of heat my costs could be next to nothing.