classical particles obey deterministic state evolution rules, yet put 10 in a box and you cannot say where they will be 5 minutes later.

Your point being? llms are software running in a fixed pipeline (barring variance induced by randomness in some layers). There's nothing like decoherence/thermal effects in a "lower level" that could induce stochastic behavior in a higher level. There's no Brownian motion in llms, if that's your analog with classical mechanics. You might argue emergent behavior that would look ordered/intelligent in some way and nature's full of examples of that but we don't attribute intelligence to physical processes.

You cannot put classical particles anywhere.