To argue this you have to prove the opposite: that consciousness is an algorithm. Not that an algorithm can simulate consciousness, that's a far easier task.
This isn't an argument to say that algorithms must be capable of consciousness, or that all Consciousness must be algorithms. It is an argument to show the consequence of declaring that LLMs are not capable of consciousness is to claim no computer is.
All of known physics is a Turing computer, so yes. Its already proven as far as we know. Its on you to prove algorithms cannot be conscious, since human brains already are.
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