That was me. Out of concern that I might be prejudiced, I did some research before I removed your answer.
Our policy about mainstream physics says, in part,
What defines mainstream physics?
Mainstream physics is physics which has been accepted by a significant portion of the physics community. In the case of modern physics, if a theory has not been published in a reputable journal, it is not considered mainstream.
It is in fact true that the paper you mention has been deposited at arXiv (though it would have been polite for you to link it there). However, the arXiv is explicitly not a peer-reviewed publication. The bar for submitting to arXiv is quite low.
This particular paper has furthermore appeared in a journal with an impressive-sounding title, where its abstract has the footnote
This essay received an Honorable Mention in the 2021 Essay Competition of the Gravity Research Foundation.
In fact, the foreword to that issue of the journal explains that the entire issue is a special publication related to the essay contest. There is a confusing sentence in that foreword which makes it unclear whether the papers involved went through the journal’s normal review process, or whether the contest board served as the reviewers. It is sometimes the case that “reviewed conference proceedings” go through a less rigorous review process than papers submitted to a journal through its normal channels. I have published such papers myself (with mixed feelings). I’ve also had the experience of hunting down a promising but obscure reference, only to discover that it is a low-quality paper that was slapped together after a conference.
Since I have doubts about the provenance of the paper, I applied the first part of our policy:
Mainstream physics is physics which has been accepted by a significant portion of the physics community.
Here we have a paper which has been freely available on arXiv for half a year, which was published in a journal with a fancy name and a multi-decade publication history at the same time, and which claims to have solved one of the most famous questions in the history of physics. This paper has, according to its impact-factor-conscious publisher, zero citations.
It is in no way the case that “a significant portion of the physics community” has “accepted” this calculation. Your answer gives no hint of this, stating simply that “the fine structure constant is calculated in a paper,” and give no hint to the casual reader that any of this context exists. That’s why I hid your answer.