Hi Mike,
Do you mean that the way the science works stricly excludes all kind of original research?
Now seriously.
If you read the guidelines you will find that wikipedia is strongly against topics entirely based on original research. For all other cases, in the same guidelines, you will find described exceptions.
The actual problem is that everybody can update wikipedia content, including people with different culture, different educational degree, and different motivation.
In our case, a vandal removed content following the rule "search the references for keyword
forum, post a warning in talk page, and finally erase the references".
My motivational interpretation of the above is "Do article editions, strictly follow (your own understanding of) guidelines, content is of second importance. Stay happy with your contributions".
The wikipedia guidelines recommend replacing the questionable references with more reliable. It was not done.
Guidelines also reccomend removal of the content, not only the references. The vandal, in several places, removed only the reference but no content, this making the article worse - with unreferenced content which is worse than with poorly referenced content.
Almost all of the articles in wikipedia have problems with references to the so-called reliable sources.
Note how much attention is paid to the political newspapers - If some president or prime minister hasn't say something, then it is not considered as a fact.
Surely for sudoku, like for many other articles, the research results will never be in a reliable newspaper or science journal. And all wikipedia readers and contributors well understand that. Articles with problematic references will ever exist, else the project will die.
What can be done?
Some experienced editors gave good directions how to avoid the edit wars. I can't give reference, but in general the guide was to wait for several weeks - for such period of time most vandals are losing interest but the serious contibutors don't.
Being against publishing your own work in a wikipedia article, I found 4 editors who did this in our case.
One is the arcticle creator, which contibution, according to my reading of wikipedia guidelines, fits in
Self-published expert sources may be considered reliable when produced by an established subject-matter expert, whose work in the relevant field has previously been published by reliable, independent publications.[8] Exercise caution when using such sources: if the information in question is suitable for inclusion, someone else will probably have published it in independent, reliable sources
One aggresively replaced existing SVG images by bitmaps, adding much images and references to his own website.
One cited his self-published paper.
One added several large tables, which to me are 100% original research. After I made these tables collapsed by default, I can live with their existance.
I am encouraging all forum contributors to restore the wikipedia content, possibly in ever better form.
About making a publication - I agree, but if it was easy it would have been done already.
BR,
Mladen