Characteristic Form Length Scale

The Characteristic Form Length Scale is the size of a persistent structure, set by the reduced Planck constant, the structure's effective mass and its binding energy. The book uses it in the thresholds of recursion, where oscillatory pulse fields crystallize into stable forms, as the first of four properties of a formed object: size, mass, charge and spin. The size comes from the uncertainty principle and the binding energy, so form length scales emerge from the relation between momentum uncertainty and binding energy in the computational substrate. The formal statement is L▢ = ħ/√(2 × m⊹ × E⧱), where L▢ is the Characteristic Form Length Scale, ħ the reduced Planck constant, m⊹ the effective mass and E⧱ the binding energy. Dimensions from the book's Where-list: L▢ [𝕃], ħ [𝕄·𝕃²·𝕋⁻¹], m⊹ [𝕄], E⧱ [𝕄·𝕃²·𝕋⁻²]. It connects to Apparent Mass, Quantized Charge and Spin Angular Momentum as the other form properties, and to the Field-to-Form Transition and Thresholds of Recursion.