A Modular Information-Dynamical Bridge Between Open Quantum Systems, Information Geometry, Entanglement Gravity, and RG

Oleg Nesen

Published Apr 7, 2026• 0 citations

Abstract

We propose a bridge-framework: a single operational language connecting open quantum systems (CPTP/GKSL dynamics), information geometry (contractive metrics and divergences), entanglement-based emergent geometry (correlation graphs and stability), and RG-style diagnostics (running exponents and spectral coordinates). The framework is deliberately conservative: emergence statements are paired with computable functionals, reproducible pipelines, explicit domain statements, and failure-domain reporting. We define a measurement layer {ρ,K,Kρ|σ,D, gρ, k(q), bL, ν, TP ,dρ,Sgeo} and a flow layer based on CPTP-consistent modular dynamics with a reference state σ. Two bridge theorems (with proof sketches) connect CPTP contractivity to information geometry and stable locality to well-posed MI-graph geometry. A reference experimental design (dim=64, (p, κ) grid, bootstrap seeds) is stated as an empirical anchor, with explicit limitations and upgrade paths.

DOI: 10.24108/preprints-3114862

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