Indeed our consciousness is an emergent property from a complex system, however the complexity of that system - the human brain - is almost unfathomably beyond

Indeed our consciousness is an emergent property from a complex system, however the complexity of that system - the human brain - is almost unfathomably beyond the complexity of anything we might make in silicon now or in the foreseeable future. For example, it is possible to write down a (natural/whole) number that completely describes the state of an LLM - its connections and weights etc - for example by simply taking the memory space and converting into a number as a very long sequence of 1s and 0s. The number will be very big, but still indescribably smaller than a number that could perfectly describe the state of a human brain - not least as that number is likely to lie on the real line, or beyond, even if it was calculable. See Cantor for a discussion on the various infinities and their respective cardinalities.