Competition Problems vs. Genuine Discovery: Hilbert Geometry as the Sole Novel Result — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: The corpus is a mixed bag of competition geometry (windmill problem, "hardest easy" problem, mock USAMO, USAMO 2010 #4) plus one genuine research paper on Hilbert geometry asymptotics. The competition problems are pedagogical challenges, not new discoveries; the Hilbert geometry paper is the only substantive mathematical result. | MATH: No explicit equations or constants are given in the search snippets. The Hilbert geometry paper references: volume growth entropy equality between Hilbert geometry and Lobachevsky space; asymptotic ratio of volume of metric ball to area of metric sphere. No specific numeric constants (0.382, 0.618, etc.) appear. | CONNECTION: None directly stated. The windmill problem involves combinatorial geometry (rotating lines through points) — no golden ratio or crystallographic symmetry evident. The Hilbert geometry result connects to hyperbolic space (Lobachevsky), which has constant negative curvature — a geometric structure, but no explicit harmonic r Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222880391
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