T(+,×): The Additive-Multiplicative Lens — A Thinking Tool for Arithmetic Structure
Abstract
Version 2: Complete rewrite. T(+,×) is now presented as a conceptual lens — a thinking tool for looking at number theory problems through the tension between addition and multiplication — rather than a formal theory. The document provides a vocabulary of divergence points between + and ×, applies the lens to RH, ABC, Langlands, and Goldbach, and includes a practical 6-step diagnostic for applying the perspective. No fake theorems, no ill-defined formal objects. The value lies in the questions the lens generates, not in answers it claims to give.
Fields of Study & Subjects
Analytic Number Theory Research
Algebraic Geometry and Number Theory
Advanced Mathematical Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 17 January 2026
- Language
- EN
- Document type
- Preprint