Dynamical Information Geometry, Part II: Positive Information Curvature and Acceleration of Operator Fronts

Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This work builds on: C. Kaya and D. Buck,"Dynamical Information Geometry: Microscopic Foundations of Operator Refraction",Zenodo (2025), DOI: https://doi.org/10.5281/zenodo.17966909 This manuscript analyzes the positive information-curvature branch of the Dynamical Information Geometry framework and demonstrates controlled acceleration (advance) of operator fronts within Lieb–Robinson bounds. For reference and context, related DIG manuscripts include: DIG Part III (hardware validation of an operational consequence):https://doi.org/10.5281/zenodo.18100057 DIG Part IV (finite regime structure and operational invariance):https://doi.org/10.5281/zenodo.18202656 DIG Part V (multidimensional formulation of the framework):https://doi.org/10.5281/zenodo.18210315 DIG Part VI (scaling 1D hardware validation): https://doi.org/10.5281/zenodo.18226369 DIG Part VII Dynamical Information Geometry:Two-Dimensional Twin-Sign Validation under Fixed Audit and Regime Constraintshttps://doi.org/10.5281/zenodo.18313460 Note:A companion definitions and scope document (DIG — N1) is available at:https://doi.org/10.5281/zenodo.18001179 This document clarifies definitions, scope, and conceptual boundaries of the DIG framework. DIG — N2 (definitions/interpretation/non-equivalences) https://doi.org/10.5281/zenodo.18380514 Correspondence regarding this work may be directed to:[email protected]