Definition of the Geometric Inconsistency Test (GIT)

Preprint: This work is a preprint, has not undergone peer review, and is made publicly available to establish a public scientific record. This document defines the Geometric Inconsistency Test (GIT) as a purely protocol-level, structural criterion for excluding scalar descriptions under audit-fixed evaluation. The test introduces no physical model, no experimental realization, and no reconstructive procedure. It formalizes when a class of descriptions becomes logically inadmissible due to the coexistence of stable null and non-null responses across a priori fixed projection directions evaluated under identical audit logic. The GIT is a negative test only. It excludes a class of descriptions without asserting the existence, dimensionality, or physical reality of any alternative structure. All conclusions are categorical and restricted to the specified intervention set, projection directions, and audit-fixed evaluation rule. This definition builds strictly on the foundational framework established in Foundations of Intervention Consistency and introduces no additional assumptions. https://doi.org/10.5281/zenodo.18495497 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
2026-02-05
DOI
https://doi.org/10.5281/zenodo.18499822
Primary Topic
Algebraic and Geometric Analysis
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article
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article

Definition of the Geometric Inconsistency Test (GIT)

Detlev W. Buck, Cueneyt Kaya
Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
article

Definition of the Geometric Inconsistency Test (GIT)

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 document defines the Geometric Inconsistency Test (GIT) as a purely protocol-level, structural criterion for excluding scalar descriptions under audit-fixed evaluation. The test introduces no physical model, no experimental realization, and no reconstructive procedure. It formalizes when a class of descriptions becomes logically inadmissible due to the coexistence of stable null and non-null responses across a priori fixed projection directions evaluated under identical audit logic. The GIT is a negative test only. It excludes a class of descriptions without asserting the existence, dimensionality, or physical reality of any alternative structure. All conclusions are categorical and restricted to the specified intervention set, projection directions, and audit-fixed evaluation rule. This definition builds strictly on the foundational framework established in Foundations of Intervention Consistency and introduces no additional assumptions. https://doi.org/10.5281/zenodo.18495497 Correspondence regarding this work may be directed to:[email protected]

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