You're basically attacking (one of?) the strongest tenet of LessWrong culture with practically no basis other than "presumably", "Chalmers and others" as an authority (Chalmers' words are not taken as Authority here, and argument trumps authority anyway), and some vague phrasings about "physical terms", "by it's very nature [sic]", "can't be reduced" and "properties of quantum fields".

My own best interpretation is that you're making a question-begging ontological argument that information, learning, knowledge, consciousness or whatever other things are implied by your vague wording are somehow located in separate magisteria.

Also, please note that, as discussed in more details in the other articles following this one, Eliezer clearly states that these epistemic techniques don't rule out a priori any concepts just because they don't fit with some materialistic physical laws one assumes to be true.