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Other literature type . 2026
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
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Non-scalar temporal parametrization as a DIG-in-GIT consequence of two-dimensional response structure

Authors: Kaya, Cueneyt; Buck, Detlev W.;

Non-scalar temporal parametrization as a DIG-in-GIT consequence of two-dimensional response structure

Abstract

Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This work studies a narrowly delimited protocol-level question within an audit-fixed DIG–GIT framework: under which neutrality-preserving inference constraints is a universally admissible scalar temporal parametrization logically excluded by an observed response structure? We provide fully in-text operational definitions of direction-resolved Twin-Sign contrasts derived from raw outcome counts under a fixed evaluator. Within the specified neutrality class, we prove an existential consequence: the existence of a single audited realization with two independent direction-resolved Twin-Sign passes (dim(U)=2) excludes universal scalar temporal parametrization for that protocol/evaluator class. The claim is conditional and existential. No ontological statement about physical time is made. All quantities required for the decision rule are defined in-text. Hardware realizations and controls are documented strictly as existence witnesses. Related works:Foundations of Intervention Consistency — https://doi.org/10.5281/zenodo.18495497Definition of the Geometric Inconsistency Test (GIT) — https://doi.org/10.5281/zenodo.18499822DIG Part I — https://doi.org/10.5281/zenodo.17983399Dataset for this work — https://doi.org/10.5281/zenodo.18650719 Correspondence regarding this work may be directed to:kaya@cab-film.com

Keywords

Dynamical Information Geometry, non-scalar temporal parametrization, two-dimensional response structure, Geometric Inconsistency Test, audit-fixed inference

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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