27-02-2026, 09:16 PM
Over the last tests, the picture has become much clearer.
The Voynich long-range gap is not generated inside lines, paragraphs, or pages. When words are shuffled within those units, the gap disappears. The signal only appears when coherent large blocks are treated as a single homogeneous string.
Mixing natural languages reproduces the effect. The stronger the statistical difference between blocks, the larger the gap. Voynich falls between closely related languages and very distant ones.
Separating Currier A and B shows that they are clearly distinct. Concatenating A and B increases the gap strongly. Interleaving them reduces it. But even A alone and B alone still show a non-zero gap.
Automatic clustering of pages recovers the A/B division without prior information. Yet within each cluster, the gap remains.
Reordering pages freely can reduce the gap substantially, but physically plausible reordering (by quires) reduces it only partially.
Taken together, this suggests that the Voynich manuscript is not statistically homogeneous. It behaves like a system composed of differentiated but internally coherent blocks, with layered non-stationarity across scales.
The gap is real. It is measurable. And it reflects structured heterogeneity rather than a simple local sequential effect.
The Voynich long-range gap is not generated inside lines, paragraphs, or pages. When words are shuffled within those units, the gap disappears. The signal only appears when coherent large blocks are treated as a single homogeneous string.
Mixing natural languages reproduces the effect. The stronger the statistical difference between blocks, the larger the gap. Voynich falls between closely related languages and very distant ones.
Separating Currier A and B shows that they are clearly distinct. Concatenating A and B increases the gap strongly. Interleaving them reduces it. But even A alone and B alone still show a non-zero gap.
Automatic clustering of pages recovers the A/B division without prior information. Yet within each cluster, the gap remains.
Reordering pages freely can reduce the gap substantially, but physically plausible reordering (by quires) reduces it only partially.
Taken together, this suggests that the Voynich manuscript is not statistically homogeneous. It behaves like a system composed of differentiated but internally coherent blocks, with layered non-stationarity across scales.
The gap is real. It is measurable. And it reflects structured heterogeneity rather than a simple local sequential effect.