Lloyd's Computational Bound

Lloyd's Computational Bound is the limit on how many operations a physical system can perform, set by its energy and the time available and derived from quantum energy-time uncertainty. The book uses it as one of three absolute constraints any computational substrate must obey, each from a different facet of Planck physics: the Maximum Computational Speed f⥣ = 1/①⥂⧗⌂ from time resolution, the Maximum Information Density ρℹ⥣ = ℨᵇ/l_P³ from spatial granularity, and this bound from energy-time uncertainty. Grounding PulseCore's validation requirements in these three thresholds, the book says, ties its design to the limits of physical law, so that the constraints act as guides rather than obstacles. The formal statement is N⊶ ≤ E × t/ħ, where N⊶ is the number of operations, E the system energy, t the operation time and ħ the reduced Planck constant. Dimensions from the book's Where-list: N⊶ [∅], E [𝕄·𝕃²·𝕋⁻²], t [𝕋]. It connects to the Margolus-Levitin Bound, Maximum Computational Speed, Maximum Information Density, Information Density Ratio and PulseCore Qubit Validation.