I've found a model which explains my results excellently. However, the actual equation and parameters of the model have been interpreted and treated differently by different authors, sometimes leading to vague and/or inconsistent interpretations and parameters resulting from a fit of the model to the data.
Additionally, the original article which derived the equation did not capture a scaling with the equation that was obviously there experimentally. This scaling is very important for the interpretation of my results.
Unfortunately, these inconsistencies haven't been pointed out by any authors, and I am probably the only person who has studied this model well enough to have realized them.
My thesis and a journal article I am preparing hinge on correcting these inconsistencies, but doing so may create some controversy with the reviewers of the article and will definitely take up a good 20 pages of my thesis and maybe more in the SI of the article.
Any advice for how to deal with this in a thesis and article-efficient way would be highly appreciated.