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]
Authors
- Detlev W. Buck
- Cueneyt Kaya
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
- Type
- article
- Field-Weighted Citation Impact
- 0.00