SDF Universal Decoherence: Theoretical Framework for Structure-Dependent Quantum Decoherence

SDF Universal Decoherence: Theoretical Framework for Structure-Dependent Quantum Decoherence Eloy Becerra Daly This paper presents the Structure-Dependent Function (SDF) Universal Decoherence framework, a comprehensive theoretical model that derives quantum decoherence rates from the structural complexity of physical systems. Moving beyond traditional environment-induced decoherence models, SDF proposes that decoherence is an intrinsic property determined by the internal structure and complexity of the quantum system itself. The framework introduces a universal decoherence rate formula ΓSDF(x) = Γ0 · S(x) · C(x) · Φ(x), where S(x) represents the structural function, C(x) the complexity factor, and Φ(x) the environmental coupling. This formulation is applied across multiple physical domains including quantum optics, condensed matter physics, atomic and molecular systems, nuclear and particle physics, quantum gravity, and quantum thermodynamics. Key contributions include: (1) a rigorous mathematical derivation of the SDF decoherence framework from fundamental density matrix formalism; (2) comprehensive analysis across six major physics domains with specific predictions for each; (3) detailed comparison tables between SDF predictions and established theoretical models; (4) proposed experimental protocols for falsification and validation; (5) analysis of cosmological implications including the quantum-to-classical transition and black hole information processing; and (6) a complete statistical analysis framework for experimental validation. The paper demonstrates internal consistency across all physical regimes examined, with SDF predictions showing agreement with established results in appropriate limits while offering new predictions in previously unexplored parameter ranges. Twenty-one specific experimental tests are proposed across the six physics domains, providing clear pathways for empirical validation of the framework. Version 1.1.0: Revised and expanded edition with two new theoretical sections (Quantum Gravity Applications and Quantum Thermodynamics), three new appendices (Statistical Analysis, Extended Comparison Tables, and Experimental Protocols), updated cross-references, and 148 corrections throughout the manuscript. The paper now comprises 40 pages, 8 figures, 30 tables, 6 appendices, and 46 references.