Comment Re:No shit (Score 1) 90
Any of flipk's 3 similar responses does a pretty good job of explaining what is going on: Losing energy to heat and/or EM radiation. Its not really a paradox; just some difficulty fully accounting for everything that affects the total energy of the system, as opposed to conservation of charge approach where energy can basically be ignored.
It reminds me of the first day of the first physics course I took as a senior in high school. The teacher gave us a pre-test (of multiple-choice questions) as part of a gimick to show how much we learned over the course. But I had already studied physics quite a bit on my own, and I think I was only confused on one question and made a dumb mistake on a second. My confusion involved a problem about the final speed of a mass after two moving balls "merged together". I tried to analyze it using conservation of energy, not realizing that energy is lost when smooshing the balls together into a clump, and my answer wasn't one of the multiple choices. I hadn't realized this is much easier with conservation of momentum, where you can just ignore the lost energy. (I studied this more when I got home, so basically most of what I learned in the course I learned on the first day, and not even in the class itself.) Your capacitor problem is essentially identical from a mathematical perspective.
Regarding AI, it doesn't surprise me it has trouble. If it had been trained on enough text like flipk's, you might have gotten lucky such that it could have regurgitated "correct BS" based on the blind text token statistics it might have derived from such training. But the underlying design of LLM's has no ability to derive anything like it from first principals...