Read the first part of ch.2 of "Good and Real".
Could you clarify why you think that this reading assignment illuminates the question being discussed? I just reread it. For the most part, it is an argument against dualism. It argues that consciousness is (almost certainly) reducible to a physical process.
But this doesn't have anything to do with what ArisKatsaris wrote. He was questioning whether consciousness can be reduced to a purely computational process (without "some unidentified physical reaction that's absent to pure Turing machines".)
Consider the following argument sketch:
You all know the rules: