The Bit-Generator Informational Engine of Quantum Geometric Dynamics (Corrected Version)

Quantum Geometric Dynamics (QGD) is built upon three fundamental equations describing the G-torsor: topological genesis, Boolean automaton, and fractal evolution. This work unifies these three equations into a single 10-bit automaton, the Bit-Generator. With 7 state bits (matter, antimatter, temporal phase) and 3 phase bits, its 1024 states encode all possible configurations of the pre-spacetime informational substrate. Linearizing around a fixed point, the Jacobian matrix yields eigenvalues that are exactly the powers of π: π, π², π³, π⁴, together with 1 and −1. A falsification test shows that the system is critically tuned: a deviation |δ| > 0.03 from the coefficients {1,2,1} breaks coherence. Spectral analysis reveals the verified eigenvalues: πⁿ, I_s = π/6, I_t = 8/π², I_0 = 4/(3π), their reciprocals, and phase eigenvalues corresponding to V_us, sin²θ₁₂, sin²θ₂₃. The total geometric phase accumulated at the coherence instant is 4π, which corresponds to the surface area of the heuristic Planck sphere and constitutes the bridge to the description of the naked singularity. The complete Python code is provided as a supplementary file.