A Finite-Depth Deterministic Framework for Twin Primes via Same-Depth Dominance and a Thin Recurrence Lemma
Abstract
This paper presents a deterministic finite-depth framework for the twin prime problem. Using a three-term frame, wheel factorization, and a finite same-depth cell space, the infinitude of twin primes is reduced to a single thin recurrence obstruction within a finite residue structure. All arguments are elementary and finite, relying only on explicit arithmetic constructions.
Fields of Study & Subjects
Electromagnetic Scattering and Analysis
Computational Geometry and Mesh Generation
Cryptography and Residue Arithmetic
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 January 2026
- Document type
- Preprint