The Sweet 16 Model: Transition Node Events, 16×9 Structural Organisation, and Cross-Scale λ–α Proportional Constraint in Lithic Geometry and the Voynich Manuscript

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Authors: Kyle Davis
Cited by: 2

Abstract

This study documents a repeatable geometric framework observed across 105+ lithic sites, comparative datasets, and symbolic systems. The framework is defined by the following measured constraints: λ:α ≈ 5:1 proportional relationship across micro, meso, and macro scales Directional organisation within ~15–25°, ~45°, and ~28–32° angle bands Transition Node Events (TNE), where vector intersections with node fields produce measurable directional change (Δθ) A 16-row vertical organisation with peak amplitude and node density concentrated at rows 8–9 A 9-column horizontal baseline with central crest alignment at column 5 and elevated transition behaviour at column 9 A recurring 4/6 rhythmic structure in node grouping and vector progression Across all datasets, directional and curvature changes are node-locked and scale invariant. A consistent 0.9° mean angular difference is used as the primary metric for identifying a locked Transition Node Event (TNE). The 16-row framework is referenced against a 1.1 mm baseline resolution derived from micro-scale surface measurements. Comparative analysis identifies geometric correspondence between lithic systems, petroglyph distributions, and symbolic clustering within the Voynich Manuscript. This study documents structure, recurrence, and predictability only. No claim is made regarding origin, construction method, intent, or underlying mechanism.

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
29 April 2026