Parametric Characterization of Natural Numbers via Co-Division Fibers and Modular Partitions
Abstract
This research proposes a two-dimensional structural model for the set of natural numbers N, redefining the traditional sequential view into a coordinate-based system. By utilizing 2-adic valuation and the concept of "Co-Division Fibers,". This framework provides an exhaustive modular partition of N, creating a robust static foundation for the future study of complex arithmetic dynamics and number theory transformations.
Fields of Study & Subjects
advanced mathematical theories
Analytic Number Theory Research
Advanced Mathematical Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 10 January 2026
- Document type
- Preprint