2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103495Murray Gell-Mann, after co-inventing QCD, recognized the interplay of the scale anomaly, the renormalization group, and the origin of the strong scale, Lambda_{QCD}. I tell a story, then elaborate this concept, and for the sake of discussion, propose a conjecture that the physical world is scale invariant in the classical, \hbar -> 0, limit. This principle has implications for the dimensionality of space-time, the cosmological constant, the weak scale, and Planck scale.Invited talk delivered at the Santa Fe Institute on the Occasion of the Celebration of the 75th Birthday of Murray Gell-Mann. July 23, 2005High Energy Physics - TheoryGeneral Relativity and Quantum CosmologyHigh Energy Physics - ExperimentHigh Energy Physics - Phenomenologytext