Work

Redefining Four-Dimensional Complex Structures as Discrete Sequential Frames of a Pure Three-Dimensional Vessel: A Definitive Resolution of the Hodge Conjecture

Year: 2026

Type: article

Abstract: This paper presents a definitive resolution of the Hodge conjecture by redefining higherdimensional complex structuresas discrete sequential frames of a pure three-dimensional vessel. By utilizing a universal degree-3 shape-preservingscanning matrix, this framework preserves the inherent curvature of algebraic cycles and maps four-dimensional densitydata onto smooth, non-vanishing three-dimensional configurations without inducing unnatural spatial geometricdeformations.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22134848

Authors: 河盛, 和行, GoogleAI

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204469442

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