Decoherence, Ontological Selection and Resolution-Dependent Quantum Corrections

This paper develops an expanded Fractal Consistency Law (FCL) interpretation of decoherence, ontological selection, and resolution-dependent quantum corrections. The first objective is to clarify a foundational distinction that is often blurred in discussions of quantum measurement: environmental decoherence explains why interference terms become experimentally inaccessible and why a reduced density matrix becomes approximately diagonal, but it does not by itself explain why one exclusive outcome becomes the realized fact. A diagonal reduced state is an improper mixture, not an ontological selection of a single event. This residual gap is interpreted here as a natural entry point for the Principle of Minimum Inconsistency (PMI), the variational core of the FCL. In the framework proposed here, decoherence diagonalizes the effective statistical structure, whereas PMI selects among decohered alternatives by structural admissibility: the realized branch is the locally stable configuration that minimizes a structural inconsistency functional relative to a deeper fractal substrate. The second objective is to incorporate the recent proposal by Kyoung Yeon Kim that decoherence-like classicalization, gravitational relativity, dark-matter-like behavior, and dark-energy-like acceleration may arise from resolution-dependent quantum corrections in the Wigner-Moyal phase-space formulation. Kim’s proposal is not treated as proof of the FCL. It is treated as a high-value theoretical bridge because it independently supports a possibility central to the FCL research program: the dark sector may be emergent, quantum-geometric, and scale-dependent rather than composed of independent hidden substances. This paper develops a formal translation between the Wigner-Moyal hierarchy and the FCL concepts of Fractal Curvature Matter (FCM) and Residual Fractal Tension (RFT). The resulting program yields testable targets: branch-stabilization thresholds in quantum measurement, morphology-dependent rotation-curve residuals, redshift-dependent effective dark-matter fractions, and joint confrontation with Pantheon+, BAO, CMB, and growth-rate data through Boltzmann solvers and Bayesian inference.