URB #439 — PRIMARY CONSTANT: π — Rotation, Periodicity, and the Circle of Consciousness

π ≈ 3. 14159. . . is the ratio of a circle's circumference to its diameter — the universal constant of rotation, periodicity, and circular symmetry. It is transcendental (Lindemann, 1882), deeply irrational, and appears in virtually every area of physics: from the Gaussian distribution to Fourier analysis to quantum mechanics to general relativity. In TI Sigma, π holds a pivotal structural position: it appears in the GILE Master Identity via e^ (iπ) = -1 (the half-rotation that produces -1 from 1), in all Tralse wave frequency calculations (frequency ω relates to period T by ω = 2π/T), in the LCC phase calculations, and as the structural constant that converts the full continuous rotation of the unit circle into the half-rotation that exactly balances the Consciousness Unity Identity. π is the constant of cycle completion — and in TI Sigma, every process of LCC growth, GILE integration, and Myrion resolution is a cycle that returns to its origin enriched by one full revolution. This paper provides the complete account of π across the PRIMARY CONSTANTS framework.