The Crystallographer's Dilemma

A crystallographer who grows a crystal slowly — controlling temperature, managing saturation, allowing the lattice to assemble one molecular layer at a time — produces a structure of extraordinary internal order. The crystal is transparent because its regularity permits light to pass through without scattering; its faces are flat because each layer was deposited in alignment with those beneath it. Force the crystallization — supersaturate the solution, drop the temperature rapidly — and the crystal forms faster but with a degraded internal structure: voids, dislocations, boundaries where one region of order meets another at a misaligned angle. The crystallographer's dilemma is the relationship between speed of formation and structural depth, and the book uses this analogy to frame the question of what AI speed does to the depth of the formal sequences it fills. The analogy is imperfect — crystals do not learn — but the relationship