A Minimal Mechanism for Emergent Spacetime from Quantum Information: Universal Modular Dynamics and the Phase Structure of Distinguishability Propagation

Oleg Ivanovich Nesen

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A Minimal Mechanism for Emergent Spacetime from Quantum Information: Universal Modular Dynamics and the Phase Structure of Distinguishability Propagation

O. I. Nesen

2026-05-03

https://doi.org/10.24108/preprints-3115149

We present a minimal and testable mechanism for the emergence of spacetime from quantum information within the framework of Universal Modular Dynamics (UMD). Starting from the density operator ρ and the modular generator K = −log ρ, we construct a robust operator-level geometry via commutator structures. We demonstrate that all static information-theoretic constructions—including entropy, mutual information, and spectral embeddings—fail to generate a consistent notion of spacetime. We then introduce dynamical diagnostics based on the propagation of distinguishability and show that spacetime emerges if and only if distinguishability propagates with finite speed and maintains locality, forming a light-cone structure. This leads to a phase classification of quantum dynamics into three regimes: no propagation, fast mixing, and localized propagation, the latter uniquely corresponding to emergent spacetime. Our results establish spacetime as a dynamical phase rather than a fundamental structure and provide a concrete, falsifiable criterion for its existence.

Ссылка для цитирования:

Nesen O. I. 2026. A Minimal Mechanism for Emergent Spacetime from Quantum Information: Universal Modular Dynamics and the Phase Structure of Distinguishability Propagation. PREPRINTS.RU. https://doi.org/10.24108/preprints-3115149

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