Gauss Map Fixed Point and Golden Ratio: A Missing Link in PSL(2,Z) Tiling — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: The search results are a scattered collection of videos and an abstract — no direct source on the Gauss map fixed point, golden ratio, or PSL(2,Z) fundamental domain tiling was retrieved. The only substantive mathematical item is an arXiv abstract on uniform asymptotic regularity in fixed point theory, which is unrelated to the Gauss map or modular group. The videos are pedagogical (Banach fixed point, Gauss map in differential geometry, hyperbolic geometry) but contain no extractable equations or constants from the provided snippets. MATH: No equations, constants, or ratios are extractable from the given text. The arXiv abstract (1511.04069v2) concerns surjective uniformly asymptotically regular mappings on metric spaces — a functional analysis result, not number theory or geometry. No occurrence of 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or crystallographic data appears. CONNECTION: None. The search query intended to link the Gauss map (continued fractions, whose fixed Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204572701
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