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

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Authors: Kauê Basso
Cited by: 0

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.

Fields of Study & Subjects

Analytic Number Theory Research Advanced Mathematical Theories and Applications Advanced Mathematical Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
5 February 2026
Language
EN