ПРЕПРИНТ
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We develop Universal Modular Dynamics (UMD), a structurally closed, domain-aware framework in which spacetime geometry, gravity-style response, quantum-field-like structure, and renormalization-group (RG) behavior emerge from a single primitive object: a density operator ρ and its modular generator K = −log ρ. UMD replaces field-based primitives by a measurement-and-diagnostics architecture: locality is defined as a distinguishability gap relative to an optimal correlation factorization; criticality is defined as landscape flatness plus partition switching; RG flow is realized as CPTP-driven spectral redistribution tracked by quantile spectral coordinates; gauge structure is modeled as access-relative equivalence with patchwise (groupoid) transitions and holonomy-style diagnostics. The framework is supported by reproducible numerical evidence in declared finite-size domains and includes explicit stability gates and failure-domain reporting to prevent overclaim.
Nesen O. I. 2026. Universal Modular Dynamics: A Unified Information-Theoretic Foundation of Geometry, Gravity, and Quantum Fields. PREPRINTS.RU. https://doi.org/10.24108/preprints-3114850