Dynamical Information Geometry, Part IX: Regime Structure and Adversarial Stability of Twin-Sign Responses

Preprint:This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This work consolidates and assesses the regime stability of Twin-Sign response structures within the Dynamical Information Geometry (DIG) framework under representative adversarial considerations. It relies exclusively on previously published, audit-fixed DIG protocols and publicly available datasets. No new experiments, datasets, observables, theoretical postulates, derivations, or interpretive rules are introduced. All analyses are strictly DIG-internal and remain fully consistent with the DIG No-Derivation Claim. The results support that reported Twin-Sign response structures are regime-bound yet operationally stable within the DIG protocol class. For reference and context, related DIG manuscripts include: DIG Part I (theoretical framework):https://doi.org/10.5281/zenodo.17983399 DIG Part II (“Positive Information Curvature and Acceleration of Operator Fronts”):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 necessity):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 one-dimensional hardware validation):https://doi.org/10.5281/zenodo.18226369 DIG Part VII (“Two-Dimensional Twin-Sign Validation under Fixed Audit and Regime Constraints”):https://doi.org/10.5281/zenodo.18313460 DIG Part VIII (“Multidimensional Front Response Structures and Degenerate Twin-Sign Projections”):https://doi.org/10.5281/zenodo.18395775 Note:A companion definitions and scope document, DIG — N1, is available at:https://doi.org/10.5281/zenodo.18001179 DIG — N2 (definitions, interpretation rules, and non-equivalences for the Twin Test):https://doi.org/10.5281/zenodo.18380514 DIG — No-Derivation Claim and scope delimitation:https://doi.org/10.5281/zenodo.18392928 Correspondence regarding this work may be directed to:[email protected]