Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This work reports an experimental two-dimensional validation of the Dynamical Information Geometry (DIG) Twin-Sign protocol under fixed audit and regime constraints. Dynamical Information Geometry assigns an effective, state-dependent information geometry to quantum many-body dynamics via the curvature of a coarse-grained mutual-information profile. Earlier work introduced the theoretical framework (Part I), provided numerical evidence for sign-sensitive refraction effects (Part II), validated a minimal operational consequence on quantum hardware (Part III), established regime structure and operational necessity (Part IV), and formulated the intrinsic tensorial nature of information curvature in dimensions greater than one (Part V). The present work occupies a strictly operational and consolidating role within the DIG series. It does not introduce new theoretical postulates, derivations, observables, or interpretive claims. Instead, it tests whether the multidimensional, projection-based structure articulated in DIG Part V remains internally consistent when subjected to the mandatory audit logic and regime language fixed in DIG Part IV. Twin-Sign tests are performed in two spatial dimensions along two non-collinear directions, without privileging any spatial axis. All results are derived exclusively from raw measurement counts under fixed audit invariants. No readout mitigation, post-selection, fitting procedures, or cross-platform normalization is applied. In addition to positive validation runs, the dataset includes a structurally defined negative control (One-Sided Twin), which is shown to fail deterministically. Across sampled values of the lens-strength protocol parameter, the observed outcomes recover the finite onset–window–breakdown regime structure introduced in DIG Part IV. This behavior is reported descriptively, without invoking universality, sharp thresholds, or new scaling claims. The results demonstrate that the operational and structural content consolidated in DIG Part IV persists under the multidimensional extension of the framework. Directional asymmetries and null projections are observed and are consistent with the tensorial formulation of information geometry in dimensions greater than one. All results reported in this work are fully reproducible from the accompanying public dataset without additional assumptions. 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 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 (dataset):https://doi.org/10.5281/zenodo.18226272 DIG Part VII (dataset):Dataset for Experimental Validation of Dynamical Information Geometry in Two Dimensionshttps://doi.org/10.5281/zenodo.18309526 DIG — N1 (definitions, scope, and non-equivalences):https://doi.org/10.5281/zenodo.18001179 DIG — N2 (definitions/interpretation/non-equivalences) https://doi.org/10.5281/zenodo.18380514 - Correspondence regarding this work may be directed to:kaya@cab-film.com
Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This work reports an experimental two-dimensional validation of the Dynamical Information Geometry (DIG) Twin-Sign protocol under fixed audit and regime constraints. Dynamical Information Geometry assigns an effective, state-dependent information geometry to quantum many-body dynamics via the curvature of a coarse-grained mutual-information profile. Earlier work introduced the theoretical framework (Part I), provided numerical evidence for sign-sensitive refraction effects (Part II), validated a minimal operational consequence on quantum hardware (Part III), established regime structure and operational necessity (Part IV), and formulated the intrinsic tensorial nature of information curvature in dimensions greater than one (Part V). The present work occupies a strictly operational and consolidating role within the DIG series. It does not introduce new theoretical postulates, derivations, observables, or interpretive claims. Instead, it tests whether the multidimensional, projection-based structure articulated in DIG Part V remains internally consistent when subjected to the mandatory audit logic and regime language fixed in DIG Part IV. Twin-Sign tests are performed in two spatial dimensions along two non-collinear directions, without privileging any spatial axis. All results are derived exclusively from raw measurement counts under fixed audit invariants. No readout mitigation, post-selection, fitting procedures, or cross-platform normalization is applied. In addition to positive validation runs, the dataset includes a structurally defined negative control (One-Sided Twin), which is shown to fail deterministically. Across sampled values of the lens-strength protocol parameter, the observed outcomes recover the finite onset–window–breakdown regime structure introduced in DIG Part IV. This behavior is reported descriptively, without invoking universality, sharp thresholds, or new scaling claims. The results demonstrate that the operational and structural content consolidated in DIG Part IV persists under the multidimensional extension of the framework. Directional asymmetries and null projections are observed and are consistent with the tensorial formulation of information geometry in dimensions greater than one. All results reported in this work are fully reproducible from the accompanying public dataset without additional assumptions. 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 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 (dataset):https://doi.org/10.5281/zenodo.18226272 DIG Part VII (dataset):Dataset for Experimental Validation of Dynamical Information Geometry in Two Dimensionshttps://doi.org/10.5281/zenodo.18309526 DIG — N1 (definitions, scope, and non-equivalences):https://doi.org/10.5281/zenodo.18001179 DIG — N2 (definitions/interpretation/non-equivalences) https://doi.org/10.5281/zenodo.18380514 - Correspondence regarding this work may be directed to:kaya@cab-film.com
Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This work presents a strictly structural analysis of directional Twin-Sign outcomes reported in Dynamical Information Geometry (DIG) Part VII. It derives minimal response-space implications from categorical PASS/FAIL classifications under fixed audit logic, without introducing new experiments, protocols, observables, or interpretive rules. Dynamical Information Geometry assigns an effective, state-dependent information geometry to quantum many-body dynamics via the curvature of coarse-grained mutual-information profiles. Earlier work introduced the theoretical framework (Part I), provided numerical evidence for sign-sensitive refraction effects (Part II), validated a minimal operational consequence on quantum hardware (Part III), established regime structure and operational necessity (Part IV), and formulated the intrinsic multidimensional (tensorial) nature of information geometry (Part V). Subsequent work reported experimental two-dimensional Twin-Sign validation under fixed audit and regime constraints (Part VII). The present work occupies a strictly consolidating and structural position within the DIG series. It does not perform new experiments, reanalyze raw measurement data, or extend the intervention space. Instead, it analyzes what minimal response-space structure is logically implied by the directional Twin-Sign outcome patterns already reported in DIG Part VII. Specifically, the work shows that simultaneous Twin-Sign PASS outcomes along two non-collinear projection directions necessitate the existence of a multidimensional response subspace. One-dimensional Twin-Sign behavior is identified as a degenerate projection of this structure. The analysis relies solely on linear independence and audit-fixed PASS/FAIL classifications and halts explicitly prior to any geometrical, dynamical, or ontological interpretation. No claim is made regarding the full dimensionality, geometry, dynamics, or reconstructability of the underlying response space. The structural necessity identified here is consistent with the DIG No-Derivation Claim: it does not enable reconstruction, dynamical inference, or ontological identification of internal response structures. All conclusions reported in this work are fully reproducible from the categorical Twin-Sign outcomes documented in DIG Part VII, using the publicly available dataset and analysis scripts provided therein, without additional assumptions. 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 1D 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 A companion definitions and scope document (DIG — N1) is available at:https://doi.org/10.5281/zenodo.18001179This document fixes terminology, scope, and explicit non-equivalences of the Dynamical Information Geometry framework and serves as a definitional anchor for the present work. Normative interpretation rules for the Twin Test are fixed in DIG — N2:https://doi.org/10.5281/zenodo.18380514 The DIG No-Derivation Claim and scope delimitation are documented in:https://doi.org/10.5281/zenodo.18392928 Correspondence regarding this work may be directed to:kaya@cab-film.com
Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This work presents a strictly structural analysis of directional Twin-Sign outcomes reported in Dynamical Information Geometry (DIG) Part VII. It derives minimal response-space implications from categorical PASS/FAIL classifications under fixed audit logic, without introducing new experiments, protocols, observables, or interpretive rules. Dynamical Information Geometry assigns an effective, state-dependent information geometry to quantum many-body dynamics via the curvature of coarse-grained mutual-information profiles. Earlier work introduced the theoretical framework (Part I), provided numerical evidence for sign-sensitive refraction effects (Part II), validated a minimal operational consequence on quantum hardware (Part III), established regime structure and operational necessity (Part IV), and formulated the intrinsic multidimensional (tensorial) nature of information geometry (Part V). Subsequent work reported experimental two-dimensional Twin-Sign validation under fixed audit and regime constraints (Part VII). The present work occupies a strictly consolidating and structural position within the DIG series. It does not perform new experiments, reanalyze raw measurement data, or extend the intervention space. Instead, it analyzes what minimal response-space structure is logically implied by the directional Twin-Sign outcome patterns already reported in DIG Part VII. Specifically, the work shows that simultaneous Twin-Sign PASS outcomes along two non-collinear projection directions necessitate the existence of a multidimensional response subspace. One-dimensional Twin-Sign behavior is identified as a degenerate projection of this structure. The analysis relies solely on linear independence and audit-fixed PASS/FAIL classifications and halts explicitly prior to any geometrical, dynamical, or ontological interpretation. No claim is made regarding the full dimensionality, geometry, dynamics, or reconstructability of the underlying response space. The structural necessity identified here is consistent with the DIG No-Derivation Claim: it does not enable reconstruction, dynamical inference, or ontological identification of internal response structures. All conclusions reported in this work are fully reproducible from the categorical Twin-Sign outcomes documented in DIG Part VII, using the publicly available dataset and analysis scripts provided therein, without additional assumptions. 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 1D 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 A companion definitions and scope document (DIG — N1) is available at:https://doi.org/10.5281/zenodo.18001179This document fixes terminology, scope, and explicit non-equivalences of the Dynamical Information Geometry framework and serves as a definitional anchor for the present work. Normative interpretation rules for the Twin Test are fixed in DIG — N2:https://doi.org/10.5281/zenodo.18380514 The DIG No-Derivation Claim and scope delimitation are documented in:https://doi.org/10.5281/zenodo.18392928 Correspondence regarding this work may be directed to:kaya@cab-film.com
Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This work establishes the regime structure, structural invariance, and an operational no-escape result for the Dynamical Information Geometry (DIG) framework. DIG assigns an effective, state-dependent information geometry to quantum many-body systems via the curvature of a coarse-grained mutual-information profile. Earlier work introduced the theoretical framework, provided numerical evidence for slowing and acceleration of operator fronts, and validated a minimal operational consequence on quantum hardware. The present work addresses a distinct question: Which structural and operational consequences follow from the Twin Test observations under the assumptions of unitary dynamics, finite information propagation, and compositionality? This manuscript introduces no new theoretical framework, equations of motion, fits, or scaling laws. Instead, it consolidates and hardens the operational consequences of DIG by: establishing that the DIG response exists only within a finite onset–window–breakdown regime; demonstrating form invariance of the response across implementations (system size, architecture, and hardware platform); introducing mandatory operational audits and a deterministic observable-selection rule that prevents the misreading of the Twin Test as marker persistence; formulating an operational no-escape result: within the Twin-protocol class, any explanation compatible with unitary dynamics, finite information propagation, and compositionality necessarily induces a state-dependent information-geometric cost structure. The Twin Test is treated as a structured existence test, not a statistical procedure. All reported results are sign-based and strictly operational. No fitting, extrapolation, noise mitigation, or cross-platform normalization is applied. The work documents Twin-Test realizations on heterogeneous quantum hardware platforms, including superconducting qubits and trapped-ion systems, and shows that apparent discrepancies (such as marker transfer on specific devices) are regime-diagnostic rather than failures, indicating that DIG operates as a bounded phenomenon. All numerical and hardware results reported in this paper are fully reproducible from the accompanying public dataset without additional assumptions. For reference and context, related DIG materials include: 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 Dataset:https://doi.org/10.5281/zenodo.18198830 DIG Part V (multidimensional formulation):https://doi.org/10.5281/zenodo.18210315 DIG Part VI (scaling 1D hardware validation): https://doi.org/10.5281/zenodo.18226369 DIG Part VII Dynamical Information Geometry:Two-Dimensional Twin-Sign Validation under Fixed Audit and Regime Constraintshttps://doi.org/10.5281/zenodo.18313460 DIG — N2 (definitions/interpretation/non-equivalences) https://doi.org/10.5281/zenodo.18380514 Correspondence regarding this work may be directed to:kaya@cab-film.com
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:kaya@cab-film.com
Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This work formulates the Dynamical Information Geometry (DIG) framework in spatial dimension d > 1. Dynamical Information Geometry assigns an effective, state-dependent geometry to quantum many-body systems. Earlier work focused on the one-dimensional setting, where the structure of the framework can be developed in its simplest and most transparent form. This manuscript states the multidimensional formulation of DIG explicitly. In dimensions higher than one, information-induced geometry is inherently multidirectional and cannot be reduced to a single scalar quantity associated with a preferred coordinate. Directionality and projection therefore enter as intrinsic structural aspects of the framework. The presentation is theoretical and structural in nature. It fixes the multidimensional formulation of Dynamical Information Geometry at the level of the framework itself and is not tied to particular realizations, implementations, or test scenarios. For reference and context, related DIG manuscripts include: 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 VI (scaling 1D hardware validation): https://doi.org/10.5281/zenodo.18226369 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 DIG — N2 (definitions/interpretation/non-equivalences) https://doi.org/10.5281/zenodo.18380514 This manuscript introduces no new theoretical framework beyond the existing DIG construction. Its role is to make explicit the multidimensional form implied by that construction and to fix its structural consequences at the level of the framework itself. Correspondence regarding this work may be directed to:kaya@cab-film.com
Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This preprint introduces Dynamical Information Geometry (DIG), a state-dependent geometric framework for operator spreading in one-dimensional quantum many-body systems. The central result is an emergent effective metric derived from the curvature of coarse-grained mutual information, leading to refraction-like modifications of operator front velocities independent of local energy density. The metric is obtained as the unique leading-order correction consistent with locality, parity symmetry, and dimensional analysis. For reference and context, related DIG manuscripts include: 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 1D hardware validation): https://doi.org/10.5281/zenodo.18226369 DIG Part VII Dynamical Information Geometry:Two-Dimensional Twin-Sign Validation under Fixed Audit and Regime Constraintshttps://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 DIG Part IX (Regime structure Twin-Sign): https://doi.org/10.5281/zenodo.18422925 DIG Part X (Intervention based "Killshot" closure) https://doi.org/10.5281/zenodo.18451913 DIG Part XI (Front Response Non-Reconstruction as a structural No-Go Result): https://doi.org/10.5281/zenodo.18462803 DIG Transpiler Dataset: https://doi.org/10.5281/zenodo.18451716 Note:A companion definitions and scope document (DIG — N1) is available at:https://doi.org/10.5281/zenodo.18001179 This note fixes terminology, scope, and explicit non-equivalences of the Dynamical Information Geometry (DIG) framework and serves as a definitional anchor for the present work. DIG — N2 (definitions/interpretation/non-equivalences) https://doi.org/10.5281/zenodo.18380514 DIG - N3 (nullspace) https://doi.org/10.5281/zenodo.18654757 DIG - No Derivation https://doi.org/10.5281/zenodo.18392928 DIG in GIT https://doi.org/10.5281/zenodo.18632874 Correspondence regarding this work may be directed to:kaya@cab-film.com