The Seonggil Arithmetic Torsion: Resolving the Twin Prime and abc Conjectures via Non-commutative Residuals
Year: 2026
Type: preprint
Abstract: This paper initiates the resolution of the four major conjectures in Number Theory by translating discrete arithmetic structures into the continuous geometric framework of Rough Operator Algebra (ROA) and the Seonggil Theory of Composite Torsion (STCT). We dismantle the traditional commutative assumption between additive and multiplicative operators. By prioritizing the empirical non-commutative residuals (R_Rough) expected from the V85 Absolute Orbit Engine, we prove that the Twin Prime Conjecture and the abc Conjecture are not isolated properties of integers, but deterministic manifestations of Local Golden Ratio Resonance and Arithmetic Singularities within a rough topological manifold.
Author: Lee, Seonggil
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166301009
Cites:
Cited by:
Related to: