Dynamical Information Geometry VI: Operational One-Dimensional Scaling Tests of the Twin-Test Protocol

Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This publication presents operational one-dimensional scaling tests of the Dynamical Information Geometry (DIG) framework using the Twin-Test protocol. Dynamical Information Geometry assigns an effective, state-dependent geometry to quantum many-body dynamics based on the spatial organization of mutual information. Earlier parts of the DIG series established the theoretical framework, provided numerical validation, introduced hardened operational definitions, and clarified regime structure and necessity. The present work, DIG Part VI, does not introduce new theory, new observables, or new numerical modeling. Its role is strictly operational. It documents how the Twin-Test protocol behaves under controlled one-dimensional scaling variations along two independent axes: system-size increase in a simulator implementation and circuit-depth increase in a quantum hardware implementation. Both scaling axes are evaluated within the same operational framework, using the mandatory audit logic defined in DIG Part IV. No attempt is made to relate or map these axes onto one another. The analysis is restricted to structural sign behavior, audit classification (marker-stable versus marker-transfer), and the identification of an operational robustness limit (defect) at increased depth. No universal scaling laws are proposed. No fitting, extrapolation, or cross-platform amplitude matching is performed. All operational definitions and decision rules are stated explicitly in the manuscript. The accompanying dataset implements these rules verbatim and enables deterministic third-party reproduction without interpretation. Related works (for reference and context): 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 Part IV (regime structure and operational necessity):https://doi.org/10.5281/zenodo.18202656 DIG Part V (multidimensional formulation):https://doi.org/10.5281/zenodo.18210315 DIG Part VI Data Set: https://doi.org/10.5281/zenodo.18226272 DIG Part VII Dynamical Information Geometry:Two-Dimensional Twin-Sign Validation under Fixed Audit and Regime Constraintshttps://doi.org/10.5281/zenodo.18313460 DIG — N1 (definitions, scope, and non-equivalences):https://doi.org/10.5281/zenodo.18001179 Correspondence regarding this work may be directed to:[email protected]