Stochastic Quantum Geometry (SQG) and SQG-H: Emergent Spacetime from Open Quantum Dynamics

Curtis Wade Vinson Curtis Vinson, Curtis Wade Vinson Curtis Vinson

Published Aug 28, 2025• 0 citations

Abstract

We propose Stochastic Quantum Geometry (SQG) as a framework for emergent spacetime based on the interplay of quantum noise and discrete geometry. SQG models spacetime as an SU(2)-safe spin network evolving through stochastic continuous-time Markov dynamics, while matter degrees of freedom evolve under a completely-positive, trace-preserving Lindblad equation with rates derived from classical geometry noise. A local, bounded back-reaction couples matter fluctuations to geometry rewiring, producing co-evolutionary dynamics that remain mathematically consistent (CPTP, ergodic, non-explosive). Emergent signatures include modularity plateaus, a robust negative entropy–structure correlation, and discrete curvature–energy slopes resembling Einsteinian balance. A hub-dominated failure mode is corrected by a variant, SQG-H, which suppresses unstable long-range bridges through local harmony couplers. Unlike quantum graphity or adaptive network models, SQG introduces the unique triad of Lindblad-driven open quantum dynamics, SU(2)-safe stochastic geometry evolution, and bounded local back-reaction, a combination not present in prior literature. Keywords: stochastic quantum geometry, open quantum systems, spin networks (SU(2)), emergent spacetime, Lindblad dynamics

DOI: 10.5281/zenodo.17013063

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