Dynamical Information Geometry (DIG), Part IV: Regime Tests and Invariance — Data Set

This dataset provides the complete numerical and hardware data used to investigate the regime structure, validity boundaries, and structural invariance properties of the Dynamical Information Geometry (DIG) framework as reported in DIG Part IV. DIG assigns an effective, state-dependent geometry to quantum many-body systems via the curvature of a coarse-grained mutual-information profile. Earlier work established the theoretical framework, provided numerical evidence for slowing and acceleration effects, and validated a minimal operational consequence on quantum hardware. The present dataset documents the stability and invariance properties of the corresponding sign-dependent modifications of operator propagation under controlled variations. The dataset includes raw and processed data from a collection of operationally defined tests performed under strictly energy-matched conditions. These tests probe sign structure, antisymmetry, regime boundaries, invariance under changes in system size or implementation, and robustness under local perturbations. Both numerical simulations and quantum-hardware executions are included where applicable. All data are provided without fitting, extrapolation, noise mitigation, or cross-platform normalization beyond the explicitly documented operational definitions. The archive is designed to enable independent verification, alternative analyses under clearly stated assumptions, and reproducibility audits. The dataset contains complete raw outputs, analysis and audit scripts, metric inventories, regime tables, and a detailed README describing folder structure, operational definitions, and verification procedures. Cryptographic checksums (SHA-256) are provided separately to ensure data integrity. Related DIG materials: DIG Part I (theoretical framework):https://doi.org/10.5281/zenodo.17983399 DIG Part II (numerical validation):https://doi.org/10.5281/zenodo.17982058 DIG Part III (hardware validation):https://doi.org/10.5281/zenodo.18100057 DIG — N1 (definitions and scope):https://doi.org/10.5281/zenodo.18001179 DIG Part IV (associated manuscript):https://doi.org/10.5281/zenodo.18202656 Intended use This dataset is intended for independent verification of regime behavior, reproducibility checks, and comparative analysis under explicit operational choices. It is not intended as a benchmark for quantitative universality or parameter fitting. Correspondence regarding this dataset may be directed to:[e-mail] NOTE: Version 2 This version corrects hard-coded absolute path assumptions in the analysis scripts.All scripts now operate relative to the package root and can be executed without user-specific filesystem dependencies. No raw JSON data, numerical results, hardware records, or scientific content were modified. The update strictly improves portability and reproducibility of the existing dataset and does not affect any results reported in DIG Part IV.