Corollary — Generalizable Character of the Geometric Model and the Basso Scanning Method

This document presents a methodological corollary that makes explicit the generalizable character of the Geometric Model of Prime Numbers (GMP) and the Basso Scanning Method (SB). The note formalizes that both frameworks do not depend on the specific nature of the set ℕ(ℙ), but rather on the preservation of a canonical ordinal axis ℝ, allowing the arithmetic axis to be replaced by a generic set S(X) containing the analyzed set.The corollary demonstrates that GMP and SB constitute an abstract geometric technique, applicable to arbitrary sequences, whether deterministic or not, while preserving the structural coherence of the model. This text does not introduce new arithmetic results, but consolidates the conceptual and methodological scope of the two associated preprints, highlighting their general reach as tools for geometric analysis.

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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.18500154
Primary Topic
History and Theory of Mathematics
Type
article
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article

Corollary — Generalizable Character of the Geometric Model and the Basso Scanning Method

Kauê Basso
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
article

Corollary — Generalizable Character of the Geometric Model and the Basso Scanning Method

Kauê Basso
article en

Abstract

This document presents a methodological corollary that makes explicit the generalizable character of the Geometric Model of Prime Numbers (GMP) and the Basso Scanning Method (SB). The note formalizes that both frameworks do not depend on the specific nature of the set ℕ(ℙ), but rather on the preservation of a canonical ordinal axis ℝ, allowing the arithmetic axis to be replaced by a generic set S(X) containing the analyzed set.The corollary demonstrates that GMP and SB constitute an abstract geometric technique, applicable to arbitrary sequences, whether deterministic or not, while preserving the structural coherence of the model. This text does not introduce new arithmetic results, but consolidates the conceptual and methodological scope of the two associated preprints, highlighting their general reach as tools for geometric analysis.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 60%
History and Theory of Mathematics
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