Dynamical Information Geometry (DIG) — N1: Definitions, Scope, and Non-Equivalences

Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This document (“N1”) fixes terminology, scope, and explicit non-equivalences for Dynamical Information Geometry (DIG). It serves as a definitions and scope anchor for the DIG framework. This note introduces no new analytical or numerical results and is intended solely to clarify definitions, scope, and conceptual boundaries of the DIG framework. For reference and context, related manuscripts include: • “Dynamical Information Geometry (DIG): A Symmetry-Derived Metric Governing Operator Refraction in Quantum Many-Body Systems”https://doi.org/10.5281/zenodo.17983399 • “DIG Part II – Numerical code and data for operator front dynamics”https://doi.org/10.5281/zenodo.17982058 DIG Part III (hardware validation of an operational consequence):https://doi.org/10.5281/zenodo.18100057 DIG Part IV (regime structure and operational context):https://doi.org/10.5281/zenodo.18202656 DIG Part V (multidimensional formulation of the framework):https://doi.org/10.5281/zenodo.18210315 Correspondence regarding this work may be directed to:[email protected]