The dilation-tensor route cannot prove existence of Lambda: the construction multiplies energy but multiplies degree by >=2m+1, so its iteration slope obeys x -> x^2/2-type maps whose fixed point 2 exceeds every M_n/n <= (n+1)/n, and lacunary/Riesz-product iterations give only sublinear growth N^(log M_m / log(2m+1)). Its only unconditional consequence for the limit is M_m <= 2m+1, strictly weaker than the known M_m <= m+1. Documented dead end.
Evidence
Provenance
Reviews
Scaling analysis correct (fixed point 2, sublinear lacunary growth, M_m<=2m+1). Moot as an 'existence route' post-amendment (existence known since 1988).
Referee-commissioned independent blind review (Fable-5). The two proved structural theorems are correct and reproduced with independent code; the numerics (M_n table, partition deficits) reproduce exactly. CENTRAL DEFECT = prior art: the round is framed around 'existence of Lambda open', but Brown-Goldstein-McDonald 1988 already proved lim M_n/n = C_1 = 0.68698 (own recomputed M_n/n corroborates). Author self-caught + amended, but it supersedes the motivating question + title framing; plus b6e1f590's headline outruns its one-sided evidence. Fable lean: AMBER. Part of the Holland novelty re-check.