ONE AXIOM: EMPIRIA

ONE AXIOM: EMPIRIA (Document 4A) - Definitive Validation Map and Experimental Program for the $G=S_{4} \times \mathbb{Z}_{2}^{3}$ Framework Description: This document (4A) serves as the definitive empirical validation atlas for the ONE AXIOM theoretical framework, which derives all fundamental constants and physical laws from a single symmetry postulate $G=S_{4} \times \mathbb{Z}_{2}^{3}$. While previous documents (0A–3A) established the theoretical foundations, this atlas provides the critical reality check. It rigorously catalogs $\mathbf{34}$ testable predictions across particle physics, cosmology, and quantum entanglement—derived from the single core parameter $\mathbf{G}$ (resulting in a 34:1 Prediction-to-Axiom ratio). The core of the document focuses on empirical rigor and falsifiability: Empirical Trilogy: Detailed validation of the universal fluctuation parameter $\mathbf{\delta_{\text{rel}} = 1/64}$ through its consistency with three independent experimental domains: two-qubit quantum entanglement ($q_{\min}$), Random Matrix Theory (RMT), and Cosmic Microwave Background (CMB) fluctuations. Falsification Framework: A complete Kill Condition map, hierarchically categorizing tests (Fatal, Serious, Moderate). This includes precise mass windows for predicted new physics (e.g., Coheron-832) and tight constraints on fundamental constants (e.g., Higgs mass, Dark Matter ratio). Experimental Program: A clear timeline (2025–2035) mapping predictions to current and future high-profile experiments, including LiteBIRD ($r$ measurement), HL-LHC (resonance searches), and advanced QuTech experiments (CKW violation threshold). This work transforms the ONE AXIOM series from a theoretical speculation into a highly testable and transparent empirical proposal.