The Golden Assay Sieve: Complementary Threshold Duality for the Golden Exclusion Sieve
Year: 2026
Type: preprint
Abstract: A companion note to The Golden Exclusion Sieve (Zenodo DOI 10.5281/zenodo.21660281). The complement of the published sieve is shown to generate itself autonomously from its own previous shell counts using the strict threshold (\varphi^2 r(v)<L(v)), where (\varphi=(1+\sqrt5)/2). More generally, for sequential rules whose shells contain only previously decided points, a rule (\alpha c(v)\le L(v)) induces the complementary rule (\frac{\alpha}{\alpha-1}r(v)
Author: Foth, Jake
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203653225
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