Work

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

Year: 2026
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W7224996713
Cites:
Cited by:
Related to: 10