Cross-Scale Geometric Recurrence in Lithic Surfaces and the Voynich Manuscript

This paper presents a repeatable geometric constraint system observed across 105+ lithic sites and the complete Voynich manuscript. Core features include an invariant 5:1 wavelength-to-amplitude ratio and a mandatory three-stage angle progression (0–5° Stable → 15–25° Transition → 45° Trigger → 28–32° Redirect). Symbol placement shows strong node bias (67.3% ON_NODE) and the 9-column baseline layout yields the highest structural coherence. The same system is independently confirmed in Rongo Rongo tablets, the Phaistos Disc (spiral normalised to 9-column), the Rosetta Stone (treated as one physical slab across all three scripts using back undulations), and five blind high-resolution 3D scan sites (Angkor Wat, Petra, Kailasa Ellora, Longyou Caves, Cusco variant block). All alignments use strict geometry only — no language assumptions or symbolic interpretations. The 4/6 node rhythm, 8-Pi Gate interval (exact 5×λ), and mechanical signatures (Δλ, Δα) are consistent across every dataset. The pattern is observable, measurable, and testable. This is the 7th paper in the series documenting cross-scale geometric recurrence in lithic surfaces and ancient scripts.