Topological Collapse and Asymmetric Divergence of Carmichael Pseudoprimes on the 6N Skeleton

On the 6N skeleton every integer coprime to 6 sits on a wing: the right wing 6N+1 (≡1 mod 6) or the left wing 6N−1 (≡5 mod 6). Reading the Carmichael numbers through this geometry, Korselt's criterion forces two elementary but rigid structural laws: (i) a one-way semipermeable membrane — every left-wing Carmichael number has all of its prime factors on the left wing, and is not divisible by 3; and (ii) a parity law — a Carmichael number coprime to 6 lies on the left wing iff it has an odd number of left-wing prime factors. Enumerating all 1547 Carmichael numbers up to 1e10, both laws hold with zero violations. The geometric consequence is a violent asymmetry: the right-to-left ratio R(X) climbs monotonically from 5.0 at X=1e4 to 88.8 at X=1e10, driven by the exponential cost of the monochromatic constraint as the mean prime-factor count grows. We are explicit about the limit: the divergence rate is not identifiable — a power of log X, a small power of X, and a stretched exponential fit the data equally well, and Poisson sparsity plus the pre-asymptotic character of Carmichael statistics put the asymptotic law beyond any reachable computational window. The structure and the phenomenon are firm; the asymptotic divergence law is, by construction, beyond reach. Includes the full reproducer, data (CSV), figure, and paper.