Published October 24, 2026 | Version v2

Discrete-Continuum Topology and the Hodge Conjecture: A Compressible Maxwell-Navier-Stokes and Modulo-9 Sieve Framework

Description

Here I show my solution to the Hodge Conjecture using my framework and ansatz formulation. The paper starts in 1D, from a simple sieve in mod 9 to a continuum projection, then from a 2D variety in mod 9k, to a continuum projection in 2D which can be map to any elliptic curve with Hasse-Weil operator, doing it back and forward with the inverse operator, linking elliptic curves with continuum topologies or fluid fields, and discovering that the Hasse-Weil function can be the filter we need to detect anomalies, this can allow us to extend this framework to higher dimensions with the master ansatz in 3D.  

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Hodge_conjecture_updated.pdf

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