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:
kaya@cab-film.com