David Chalmers, in his 1995 paper "Facing Up to the Problem of Consciousness," distinguished between the "easy problems" and the "hard problem" of consciousness. The easy problems — though not actually easy — are those that can in principle be solved by explaining the mechanisms of the brain: how does the brain integrate information? How does it direct attention? How does it control behaviour? These are hard scientific questions but they are the right kind of question: they can be answered by describing neural processes.
The hard problem is different in kind. Even if we had a complete account of every neural process involved in seeing red — every photon captured, every neural signal transmitted, every information integration performed — we would still have explained nothing about why this process is accompanied by the subjective experience of redness. Why is there something it is like to see red, rather than simply a process occurring in the dark? This is the explanatory gap — and no amount of additional neural detail closes it, because it is a gap between the physical description and the fact of experience itself.
Chalmers called this the hard problem because it seems to resist the standard scientific method of explanation — which proceeds by reducing phenomena to more fundamental physical processes. Consciousness, however, does not appear to be reducible in this way. The redness of red is not a property of any physical process — it is a property of experience. And experience is precisely what physics does not and cannot describe.