Arithmetic Projector Geometry and Divisor-String Spectra (Draft)
Year: 2026
Type: article
Abstract: (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.
Author: Néchaf, Kévin
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7171929414
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