This upload contains the updated Track 2 mathematical working documents for the Universal Processing Law (UPL) framework, building upon the foundational UPL preprint (DOI: 10.5281/zenodo.19154977). This Version 3 incorporates a major formal revision, retracting a previous Quasinormal Mode (QNM) frequency shift prediction and replacing it with a rigorous graph-level calculation. This record includes four documents: 1. UPL Session Development Notes: Documents the theoretical development trajectory, the DRR dual-saturation mechanism, the Schwarzschild/Kerr complementarity hypothesis, and a critical "Red Team" mathematical review that led to the retraction of the initial QNM shift prediction.2. UPL Track 2 — DRR Tensor Derivation: Formal derivation of the Kerr metric structural functions Σ and Δ from the UPL dual-saturation boundary conditions, with proofs. The ergosphere emerges as the DRR activation boundary.3. UPL Track 2 — Recovery of the Kerr Metric and Standard QNM Spectrum: The centerpiece paper. Establishes that Φ = Lg·Lv is a geometric functional of the metric, not a Brans-Dicke scalar. Through a graph-level node-counting calculation, it proves that DRR partner pixels possess sufficient spare processing capacity to fully absorb any linear gravitational wave perturbation. The reflectivity is exactly zero (R = 0), recovering standard General Relativity and the exact Kerr QNM spectrum (consistent with GW250114).4. UPL PRL Draft (v3): Complete 4-page Physical Review Letters format manuscript presenting the revised Track 2 framework for journal submission, highlighting the exact recovery of Kerr spectroscopy. All theoretical concepts, derivations, and original ideas are the sole intellectual work of Ahmed Lahmidi. Contact: ahmed.lahmidi.contact@gmail.com
Ahmed Lahmidi (Wed,) studied this question.