Primordial Binary Distinction

The Primordial Binary Distinction is the first binary choice, the mapping δ₀: Ω◁ → {0, 1} from the Pre-Pulse Field's configuration space to the binary states, which selects Minimal-Energy Paths from infinite potential. It is where Pre-Pulse Field geometry turns into computation. The book requires the binary transitions that follow to take Energy-Minimizing Trajectories while preserving Information Conservation, I⊚ = I▱ + Iℜ, and the optimal path selected by the distinction is the Emergence Arc: the Prime Pulse as a continuous trajectory through Binary State Space and the first geometric structure. Because π defines that trajectory, the distinction is the origin of π as the geometric constant behind all later phase relationships and curvature constraints. It also seeds Null Well dynamics and the Genealogical Cascade. Formally, δ₀: Ω◁ → {0, 1}, where δ₀ is the distinction mapping, Ω◁ is the Pre-Pulse Field configuration space, and {0, 1} are the binary states. It connects to Pre-Pulse Field, Minimal-Energy Paths, Emergence Arc, Optimal Trajectory, Binary State Space and Primordial Binary Distinction Event.