Flat Earth Society does not have only one theory about the shape of Earth, there are many theories instead. And none of them is totally consistent, it have several versions, each user may have his own version of it, with individual and/or inedited statements. This all makes this proposal confuse.
I have a question: Are there any books/publications that can explain with more consistency these theories?
All other FE "theories" (UA acceleration/infinite earth) have been shown, again and again, to be false and inconsistent.
No clear explanation of gravity, no FE map, incorrect figures for the Sun's diameter and the Earth-Sun distance, "celestial gears", stratellites and much more.
With the alternative flat earth theory all problems are solved: a correct FE map, modern proofs pertaining to the diameter of the Sun/Earth-Sun distance (ISS solar transit videos, Antarctica solar eclipse photographs), the best proof that the surface of the Earth is actually flat (the Tunguska explosion seen all the way from London), a perfect explanation of terrestrial and planetary/stellar gravities - and yet the official FAQ does not mention a word about this.
There is no need to resort to Earth is not a Globe anymore (a most valuable historical reference), we now have at our disposal modern, extraordinary proofs which explain each and every detail of the FE theory.
Therefore the statement that there are "competing flat earth theories" is not true: all other FE theories have failed miserably, and have been shown to be utterly false; no RE has ever been able to prove that any of the details of the alternative flat earth theory are not true.
Without the alternative FE theory, there would no way to answer to threads such as the Ring Laser Gyroscope paradox, or the Beam Neutrinos discussed here some weeks earlier.