The Seonggil Grand Unification of Number Theory: The Equation of State for Arithmetic Topology
Year: 2026
Type: preprint
Abstract: This paper establishes the Grand Unification of discrete mathematics. We prove that the resolutions of the Twin Prime, abc, Strong Goldbach, and Collatz conjectures (Papers 48-50) are not isolated arithmetic models, but necessary local solutions derived from a single, universal physical law. By introducing the Equation of State for Arithmetic Topology, we unify the non-commutative residual (R_Rough), the masterkey tensor (T_0x8A2C), and arithmetic friction (η) under the Seonggil Field Equation (SFE). We declare the end of classical number theory: integers are no longer static points, but active dynamical states governed by quantum-geometric thermodynamics.
Author: Lee, Seonggil
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166359742
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