Some statistical investigations that I've done.
I came across a video which applied Zipf's law as a test on the voynich manuscript and wanted to replicate it. So then I went down a successive path of looking at the next most obvious hypotheses, e.g. checking whether this was an actual language, or a cypher, or some sort of algorithmically generated gibberish.
So there are two statistics where the manuscript seems to significantly differ from a real language: 1. it's characters are far more predictable than in any real script that I looked at, and 2. it's word lengths are unusually uniform. so working through possible explanations for this (for example including specialised list/catalogue-type language) seemed to rule out most things (e.g. the language entropy seemed to move in the wrong direction when we applied technical/botanical latin for example into a catalogue style, running it through the same tests). Another candidate was an invented language, but this seems to fail because it still does not behave gramatically like an unknown language.
The conclusion after all this seems to be what Timm & Schinner found in 2019 that there is that each word in the manuscript is a copy of a previous word, mutated by some algorithm. With the seed for each page being a label or word either related or unrelated to the image on the page. To test this built text-generation code that would produce text that replicates the statistical atributes of the manuscript, and this seemed to hold up very well. A four-parameter generator built on that mechanism reproduces essentially every statistic in the manuscript, including ones it was never fitted to, so no meaning is required to explain the text's internal properties.
I've created a github repo with a summary page and the code that I used (yes, language models were used to assist writing the code and analyzing and presenting the results. ) https://whitehatnetizen.github.io/voynich-investigation/
I'm currently working on the "still open" questions in the conclusion section at the bottom of the page.
Hopefully I haven't broken any sub rules by posting this.