Computational Throughput

Computational Throughput is the total processing capacity of a Zinf-limit universe: the number of boundary cells multiplied by the frame rate set by the Pulse Rhythm. Each frame, each boundary cell can perform about one operation, so operations per frame scale with the number of cells, (N⥥)². Frames come as fast as the Pulse Rhythm allows, one per half-cycle time quantum. The result is what the book calls the Tiny Yet Fast regime: very few spatial degrees of freedom running at the highest possible frame cadence, balancing spatial scarcity against temporal abundance so that stable, high-frequency computation holds at the smallest possible scale. The formal statements are ⊶/𝓕 ∼ N▫ = (N⥥)² and ⊚⥂ = f𝓕 × N▫ = (N⥥)²/①⥂⧖, where N▫ is the total computational degrees of freedom, N⥥ the minimum cells per loop for a stable sinusoidal mode, f𝓕 the fixed frame processing rate and ①⥂⧖ the half-cycle time quantum, the Pulse Rhythm. Dimensions: ⊚⥂ and f𝓕 [𝕋⁻¹]; ⊶/𝓕, N▫ and N⥥ [∅]; ①⥂⧖ [𝕋]. The book's check reads ([∅])² ÷ [𝕋] = [𝕋⁻¹]. It connects to Computational Degrees of Freedom, Tiny Yet Fast, Zinf-Limit Universe, Local Rhythm Quantum and Data-Nova Progression Rate.