Rabbeinu Tam’s method

I am strict about excluding the Sabbath of Rabbeinu Tam. When I studied the issue recently, I noticed something interesting. In fact, the entire method of Rabbeinu Tam is based on an astronomical error that the Earth is flat and has a “thickness” and from the first sunset (our sunset) the sun disappears from our sight and it takes an additional hour for it to pass through the “thickness” of the Earth and all of this is still called a day.
Of course, according to current accepted science, it is clear that the Earth has no thickness and that the Sun disappears as a result of rotating in a different direction.
In light of this issue, does the Rabbi think there is a point in tightening Rabbeinu Tam even though the principle is incorrect, since many Rishonim and even the Shulchan Aruch went with Rabbeinu Tam? Or is it that once it is incorrect, then even if Elijah the Prophet tells us to tighten, we will not listen to him?
Perhaps there are additional explanations for this method that have not been refuted, and then the problem disappears. Has the rabbi written on the subject? What is his opinion?
Thank you very much.