Binary State Space

Binary State Space is the domain through which the transitions of the Prime Pulse Bifurcation run, in which the optimal, minimal-energy paths between the binary states are semicircular. The book uses it to explain why π appears throughout physics. The Emergence Arc Function shows that π defines the optimal trajectories through Binary State Space, which the book takes as the geometric foundation of binary computation and as the reason π is the first mathematical constant to emerge from computational necessity. Its predictions include atomic transition phase relationships with π-periodic patterns and π-harmonic resonance in the primordial gravitational wave spectrum. It connects to the Emergence Arc Function, Emergence Arc, Semicircular Trajectories, Minimal-Energy Paths, Prime Pulse Bifurcation, π-Harmonic Structure and Geometric Foundation of Binary Computation.