Plants Dig Quantum Physics

Kaya, Cueneyt, Buck, Detlev W.

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

Mirror Pune

Howard F. Gallup

Cueneyt Kaya, Detlev Buck

Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This document (“N1”) fixes terminology, scope, and explicit non-equivalences for Dynamical Information Geometry (DIG). It serves as a definitions and scope anchor for the DIG framework. This note introduces no new analytical or numerical results and is intended solely to clarify definitions, scope, and conceptual boundaries of the DIG framework. For reference and context, related manuscripts include: • “Dynamical Information Geometry (DIG): A Symmetry-Derived Metric Governing Operator Refraction in Quantum Many-Body Systems”https://doi.org/10.5281/zenodo.17983399 • “DIG Part II – Numerical code and data for operator front dynamics”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 context):https://doi.org/10.5281/zenodo.18202656 DIG Part V (multidimensional formulation of the framework):https://doi.org/10.5281/zenodo.18210315 Correspondence regarding this work may be directed to:kaya@cab-film.com

Cueneyt Kaya, Detlev Buck

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 a hardware validation of a minimal, sign-based operational consequence of the Dynamical Information Geometry (DIG) framework on real quantum devices. The work introduces no new theory and no numerical modeling. Instead, it tests a single operational hypothesis (OD-DIG-H1) on heterogeneous quantum hardware platforms, including IBM Quantum and AWS Braket (IonQ). The operational quantity tested is the sign of the leakage differenceΔLeak = Leak_LENS − Leak_CTRL,with leakage defined as Leak = 1 − P(b_ref). The reference bitstring is defined per run as b_ref = mode(CTRL), ensuring a hardware-agnostic reference choice. For all included hardware runs, the observed sign of ΔLeak is positive under the stated operational definition. The analysis is deliberately restricted to sign-only reporting and excludes fitting procedures, noise mitigation, or quantitative cross-platform comparisons. The results are supported by a publicly available, immutable hardware dataset archived on Zenodo. 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 — N1 (definitions and scope):https://doi.org/10.5281/zenodo.18001179 Dynamical Information Geometry (DIG) – Hardware Validation Dataset:https://doi.org/10.5281/zenodo.18099420 DIG Part IV (regime structure and operational context):https://doi.org/10.5281/zenodo.18202656 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

Howard F. Gallup