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PreprintCC BY 4.0Zenodo

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

  • Herman Jahzeel Martinez Suazo
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Abstract

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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Cite

BibTeXRIS
BibTeX
@misc{suazo2026discretecontinuum,
  title = {{Discrete-Continuum Topology and the Hodge Conjecture: A Compressible Maxwell-Navier-Stokes and Modulo-9 Sieve Framework}},
  author = {Herman Jahzeel Martinez Suazo},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23626419},
  url = {https://zenodo.org/records/23626419},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Discrete-Continuum Topology and the Hodge Conjecture: A Compressible Maxwell-Navier-Stokes and Modulo-9 Sieve Framework
AU  - Herman Jahzeel Martinez Suazo
PY  - 2026
DA  - 2026/10/24
PB  - Zenodo
DO  - 10.5281/zenodo.23626419
UR  - https://zenodo.org/records/23626419
AB  - 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.
ER  -