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 three 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; (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; and (iii) a unified barrier — whenever 3 ∤ (n−1), no right-wing prime can divide n, fusing the left wing with the off-skeleton residue-3 numbers (a residue-3 Carmichael number is exactly a 3 glued to a pure-left core). Enumerating all 1547 Carmichael numbers up to 1e10, all three laws hold with zero violations. The right-to-left ratio R(X) climbs monotonically from 5.0 at X=1e4 to 88.8 at X=1e10, and the same monochromatic suppression acts inside the right wing, where the pure-right family is overtaken by the mixed family — the internal ratio M(X) crossing unity between 1e7 and 1e8. We are explicit about the limits: the two single-colour basins decay in the same direction but at materially different rates (M ~ (log X)^−1.1 vs R ~ (log X)^+2.9, a ~2.6× gap traced to the smoothness of p−1 for right primes versus its roughness for left primes), so no single thermodynamic law governs them, and neither asymptotic rate is identifiable under Poisson sparsity and the deep pre-asymptotic character of Carmichael statistics. What is unified is algebraic — the single barrier 3 ∤ (n−1) — not thermodynamic. Includes the full reproducer (with three-law verifiers and the M(X) split), data (CSV), figure, and paper.