Global Solution of the Strong Goldbach Conjecture via Algebraic Varieties and Identity Mapping
Year: 2026
Type: preprint
Abstract: This paper abandons the limitations of pointwise approximation in traditional analytic number theory and introduces the global topological theory of Algebraic Varieties from arithmetic algebraic geometry to solve the strong Goldbach con jecture globally. We regard the set of odd numbers and the set of prime sums as high-dimensional algebraic varieties defined by arithmetic relations, parameterize the odd primes as linear translation operators, and construct the global translation equation of the varieties. Through rigorous boundary topological constraints, we prove that any non-zero coordinate translation will cause topological leakage at the lower bound of the left-hand variety, failing to be isomorphic to the rigid target variety on the right-hand side. Therefore, the system is forced to converge to the identity mapping at X = 0. This paper further proves the irreducibility of the variety, completely eliminating the fallacy of ”local slicing” in traditional set theory. Ultimately, the original variety S achieves a lossless isomorphism to P +P + 3, and the strong Goldbach conjecture is proven.
Author: Li, Zhiyong
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225457669