Discrete Causal Chain Growth: A Recursive Mathematical Framework for Systemic Synchronization Offset and its Empirical Falsification Protocol (v2.1.3)

Revision Summary for v2. 1. 3 This version (v2. 1. 3) represents a critical refinement of the SRE framework, focusing on logical consistency and empirical transparency. Key updates include: Physical Parameter Correction: The critical logical depth (Ncrit) is now formally anchored to the proton-to-electron mass ratio (approx. 1836), replacing previous geometric derivations. Statistical Audit: The historical goodness-of-fit (R-squared) for gravitational constant measurements has been corrected to approx. 0. 076. This reflects a realistic assessment of current experimental noise levels. Shift in Predictive Paradigm: The framework now predicts a gradual systemic drift of approximately 4 ppm per year, rather than an abrupt shift. The April–June 2026 window remains a priority for intensified monitoring to establish this trajectory. Protocol Refinement: The falsification threshold in Section 4 has been adjusted to 10^-7 to align with the predicted 4 ppm signal magnitude. Algorithmic Update: The included Python code has been optimized to simulate stable, ppm-level recursive growth. This version supersedes all previous drafts and serves as the primary protocol for the 2026 observation period.