The SALEN Axiom: Structural Archimedean Non–Coverage for Anchored Periodic Obstruction Systems

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Authors: Daniel Augusto Jorge Zafaranich
Cited by: 0

Abstract

We record the SALEN Axiom (Strong Archimedean Local Eventual Non–Coverage) as a foundational structural principle governing canonically anchored periodic obstruction systems on a discrete ordered axis. The axiom asserts that, under uniform bounded multiplicity, families of rigid periodic obstructions cannot cover arbitrarily long contiguous intervals beyond an explicit archimedean scale. The formulation is entirely abstract and independent of arithmetic, combinatorial, or dynamical interpretations. No proof is given here. The purpose of this note is to isolate SALEN as a reusable black--box principle, suitable for invocation in subsequent works once its hypotheses have been verified in a given framework.

Fields of Study & Subjects

Advanced Topology and Set Theory Analytic Number Theory Research Mathematical Dynamics and Fractals

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
13 January 2026
Language
EN
Document type
Preprint