Temporal Renormalization: Solving the Horizon Explosion via Multiscale Diffusion Planning [v3.0 System Spec]

Version 3.0 Update: System Specification and Computational Proofs. Why can an AI write a perfect sonnet but fail to plan a simple 3-day itinerary? Current models suffer from a "Horizon Explosion," where error accumulates exponentially with sequence length (Error^T). This makes long-horizon reasoning computationally intractable (O(T)) for standard Transformers. We propose a new computational primitive: Temporal Renormalization. By treating time as a fractal hierarchy, we reduce planning complexity from linear to logarithmic (O(log T)). This Version 3.0 release transforms the initial whitepaper into a rigorous System Specification, including: Formal Complexity Theorems; Explicit Physics; Implementation Guide; Falsifiability. We invite the community to fork this primitive and test it against the "10k Step Challenge." The logjam is broken. MIT License c. 2026 Annen20