Work

Gabriel's Horn, Michael's Horn, and the Arithmetic Ground of the Harmonic Series

Year: 2026

Type: preprint

Abstract: This paper presents the resolution of Torricelli's duality through thePrime Field Architecture of the Arithmetic Modulation Field of M = 30= 2 × 3 × 5. The resolution rests on a single foundational discovery:the composite spectrum of the integers IS complete. Every compositeinteger belongs to exactly one of two structurally determined compositeclasses — the E₂ Layer (even composites, generated by the boundaryprime 2) or the O₃ Fiber (odd composites, generated by the boundaryprimes 3 and 5). This complete account of the composite spectrum makesthe prime-capable class P₁ visible, bounded, and exact for the firsttime in the history of mathematics.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24024076

Author: Skerl, David-Michael

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225397899

Cites:

Cited by:

Related to: 10