The Information Geometry of the Universe - Evolution in Discrete ln 2 Steps

This work presents the complete formulation of the ln 2 Information Geometry: a unified framework in which information theory, geometry, and physics all arise from the same discrete logarithmic structure. At the physical scale, the framework shows that black holes and the universe all evolve through fixed powers of ln 2. Compression, expansion, curvature, rotation, entropy, information, and cosmic time each scale as integer powers of ln 2, forming a single discrete ladder that governs all physical change. Particle identity, weak‑force transitions, black‑hole accretion, jet emission, and cosmic expansion are revealed as different manifestations of the same ln 2 stepping behaviour.