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

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:[email protected]

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-15
DOI
https://doi.org/10.5281/zenodo.18651612
Primary Topic
Formal Methods in Verification
Type
article
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article

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

Detlev W. Buck, Cueneyt Kaya
Zenodo (CERN European Organization for Nuclear Research)
Formal Methods in Verification
article

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

Detlev W. Buck, Cueneyt Kaya
article en

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:[email protected]

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