This addendum extends "The Living Digital (v2. 0) "—a bionic extension of the Yu-Liang coordinate system (RYL) originally disclosed in U. S. patent application filed January 31, 2026—by resolving the three open challenges identified in Section 8. 5 of the parent document. We introduce two new sections. Section 8. 6 presents the Multi-Column Semantic Resonance Filtering Protocol (MSRFP), a bionic transduction mechanism inspired by the mammalian cochlea that converts continuous embedding vectors into Hamming-sparse pulse codes without numerical quantization, thereby settling the embedding-projection and multi-head attention allocation challenges. Section 8. 7 establishes the Infinite Context Window property of the YL-Transformer, proving that its O (1) per-pulse complexity, deterministic accumulator state, and path-independent error bound |ε| ≤ 0. 5 grid units collectively eliminate the O (N²) memory wall that constrains conventional Transformer architectures, enabling sustained processing of 10⁹+ event pulses with zero hallucination drift. Together, these results upgrade the "open challenges" of v2. 0 into closed theorems, completing the theoretical foundation of The Living Digital.
Yu et al. (Sun,) studied this question.