The Dual Discretization Kernels in Discrete-Continuum Topology Formalization of the Discrete Ricci Flow, Mellin-Sieve Master Regulator, Parent Topology, and Bidirectional Hasse-Weil Mappings

Finally the parent topology of the discrete-continuum topology, I have started with a simple arithmetical sieve in modulus 9, then I extended this to modulus 9k, and for last to the nested fractal in 3D, so far, across all the papers, two discretization approaches had been used, the arithmetic regularization via convolution and the geometric regularization with the discrete ricci flow, both of them extended to 3D with a fractal lattice to improve the resolution, both are borned from the same topology, which I decided to call master topology.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-31
DOI
https://doi.org/10.5281/zenodo.23844233
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

The Dual Discretization Kernels in Discrete-Continuum Topology Formalization of the Discrete Ricci Flow, Mellin-Sieve Master Regulator, Parent Topology, and Bidirectional Hasse-Weil Mappings

Herman Jahzeel Martinez Suazo
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

The Dual Discretization Kernels in Discrete-Continuum Topology Formalization of the Discrete Ricci Flow, Mellin-Sieve Master Regulator, Parent Topology, and Bidirectional Hasse-Weil Mappings

Herman Jahzeel Martinez Suazo
preprint en

Abstract

Finally the parent topology of the discrete-continuum topology, I have started with a simple arithmetical sieve in modulus 9, then I extended this to modulus 9k, and for last to the nested fractal in 3D, so far, across all the papers, two discretization approaches had been used, the arithmetic regularization via convolution and the geometric regularization with the discrete ricci flow, both of them extended to 3D with a fractal lattice to improve the resolution, both are borned from the same topology, which I decided to call master topology.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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