I am not opposing your view, just trying to understand the logic - perplexed by downvotes on a simple question...
I'm operating on the assumption that evolution happened as Darwin described it. As another reply to you notes, darwinian evolution precludes sharp divides between species in favor of a gradual development of complexity over time. A believer in darwinian evolution should expect consciousness and emotions and other mental processes to manifest on a continuum, which means that the question of animal consciousness should be about as controversial as the question of our own consciousness (which is definitely an open topic of philosophical debate but is also impossible to solved with an experiment).
I can recommend the book „How language began“ by Daniel Everett, where he demonstrates convincingly that our path to language, culture and consciousness was not a single switch, but evolutionary process. Recent research of cetaceans shows that their language and culture may overlap in sophistication with our ancestors.
However, if it were the case, you don't need to explain it, only observe it. For example, I think we can say from observation that there needs to be a minimal complexity. n-neurons cannot be self aware and n+1 can. I'm sure it's not just the number, but you get the point. The gradient of self-awareness need not start at the gradient of intelligence, nor need it have the same slope.
I don't believe in non-physical explanations. We don't know the mechanism though, so we do actually do need to explain why some permutations of matter, as you put it, (i.e. the permutation in brains) has this sense, and others (matter in rocks, matter in computers?) does not. Although I'd think process, rather than just arrangement.