The UniSpheral Perfect Square Progression

The UniSpheral Perfect Square Progression is the growth of quadratic structural capacity through the perfect squares {1, 4, 9, 16, 25, …}, now developed in Quantum Pulse Theory. It was formerly Binary Pulse Theory's foundational scaling law, when the growth law was written as a square. Binary Pulse Theory now states the growth law in binary form, ℜ(n) = 2ⁿ, and keeps only the note that structural capacity is the square of the binary capacity, (2ⁿ)² = 2²ⁿ. The progression moved to Quantum Pulse Theory as the Meso Law of structural layering: layer closure increases capacity quadratically, and the step from layer n to layer n + 1 is the next odd number, 2n + 1, so the increments {1, 3, 5, 7, …} build the squares. Quantum Pulse Theory carries the physical parallels drawn for the square, among them Bohr's orbital energies E(n) ∝ 1/n² and Born's rule I ∝ |ψ|². Structural capacity never times anything. Formally, C(n) = n², where C(n) is the structural capacity after completing layer n and n is the layer index; both are [∅]. It connects to Perfect-Square Sequence, Odd-Number Increment Rule, Quadratic Amplification, BPT Foundational Equation and Recursive Growth Law.