Arithmetic Projector Geometry and Divisor-String Spectra (Draft)
(Draft) We construct a bridge between a simple pencil of rays as a projection of the Integers set in the Cartesian plan. Combined with the Z^2 network, this simple construction gives naturally birth to Prime numbers' set as a unique condition. It appears that chaotic behavior of the Primes comes from a very easy yet powerful structure. More precisely, as the projected structure dilating and interacting with itself. To push further, Primes are the interaction pattern of two different geometries colliding into one. We can then observe it as a spectral geometry problem being a minimized energy problem.
Authors
- Kévin Néchaf
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-07-30
- DOI
- https://doi.org/10.5281/zenodo.21726958
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- article
- Field-Weighted Citation Impact
- 0.00