Hi. I have a hypothetical question / thought experiment that i thought a while ago. I would like to hear your response on the following scenario.
Suppose we were able to create a hydrogen and anti hydrogen pair from a space station in the very distant future (and seperate it so it doesnt annihilate each other). We then brought the pair down to the surface of the earth via a tube that is able to collect its gravitational kinetic energy with 99.99% efficiency. And suppose we took the hydrogen / anti hydrogen pair we created into a reactor, made it annihilate each other, and converted the gamma energy into electricity with the 99.99% efficiency. Next, we transferred this energy up to space by a superconductor with negligible resistance and assembled it back into the same hydrogen / anti hydrogen pair again. Wouldn't this violate the law of energy conservation?
I believe this is entirely possible since theoretically Einsteins equation E = MC^2 can be done both ways. Currently, our technology is not advanced enough to convert energy into matter but in the distant future, we may be able to achieve this. However, this process leaves us with the gravitational potential energy that the hydrogen / anti hydrogen gained when it entered the earth. This violates the conservation of energy theory. Can anyone explain why this cannot happen?
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I think this may cause some of you into thinking that the energy required to bring the hydrogen pair into orbit requires energy counteracts this situation, but you could instead "beam" the energy up the superconductor into the space station without losing any energy. Additionally, even if you did brought it up by conventional means, repeating this process 2 times will break the law of conservation of energy.