Has anyone ever tried using the first law of thermodynamics to prove that AGI is impossible. It's somewhat dependent on what one considers "intelligent" of cour

Has anyone ever tried using the first law of thermodynamics to prove that AGI is impossible. It's somewhat dependent on what one considers "intelligent" of course. But let me give a stab at it. Say AGI is a computer machine and/or algorithm that's capable of "creatively" building a smarter version of itself. Then (here's the proof) say we did build a machine that was capable of building a smarter version of itself, then that machine would technically be a perpetual motion machine, and therefore a violation of the first fundamental law of thermodynamics: "In all cases in which work is produced by the agency of heat, a quantity of heat is consumed which is proportional to the work done; and conversely, by the expenditure of an equal quantity of work an equal quantity of heat is produced." (Rudolf Clausius, 1850) Or assuming that AGI is just "in the software", the heat produced by the computation would continually increase, as an ever more complicated algorithm/computation is formulated, and therefore violate the first law of thermodynamics -- again. Assuming a more "intelligent" computation consumes more heat/energy.