Warning, warning, warning this will be considered tl;dr for most so bail out here and go directly to gaol[1]!Impossibility of UA
To me there seems to be another big problem with UA. We are told that because of Special Relativity the Flat Earth can never exceed the velocity of light. OK, no problem, but we also have "time dilation", meaning time would now be passing on earth much (very much!) slower than on an inertial frame of reference.
Now, presumably there IS some inertial frame of reference and is has been there since the earth started accelerating. We are told that there is the Aether we are "pushing through" creating a bow-wave etc (that may theflatearthsociety.org's idea? - whatever) and the "Dark Energy" that is doing all this accelerating. Presumably this Aether and Dark Energy are in this "Inertial Frame of Reference" and was there at the "Creation Date" or whenever everything started.
So I thought I would try (try being the operative word, as you might see later!) to find the elapsed time in this "Inertial Frame of Reference". To keep the time as short as possible (you see I did forsee a problem or two) I tried with Bishop Ussher's "Creation Date", which everyone here knows was on October 23, 4004 BC, so roughly 6020 years ago (earth time). Well that did not work!
Now on the site
Relativistic Star Ship Calculator there is a neat calculator. It is meant to calculate the time on a near light-speed starship travelling away from a relatively stationary earth.
But, if we turn it around and use "Earth" in the calculator as our "Inertial Frame of Reference" and the "Starship" as the acceleration earth we can use it for our calculations.
So, if the earth were to start accelerating at 9.8 m/s
2 13.8 billion years ago
[2] (I don't know that I agree with the age!) by now, due to time slowing down on the accelerating earth (that is Time Dilation)
only 45.3 years would have elapsed on our earth according to the "Relativistic Star Ship Calculator".
Now, since to the best of my memory I am rather older than 45.3 years, this all gets a bit hard to explain (of course, I cannot prove that the earth was not created in its then state

"Last Thursday"! - don't laugh
Last Thursdayism 
).
Actually, I disagree[3] a little with the "Relativistic Star Ship Calculator" and using the equations on the right ----> would claim that for only 23.33 years Earth time the Aether, Dark Energy and whatever else must have been around for at least 13.8 billion years. The difference between my figures and the "Relativistic Star Ship Calculator" figures makes no real difference to the conclusion.
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Unless there is "absolutely nothing" outside the "earth and firmament" then there is no way the earth could have been accelerating for any reasonably long period - even Bishop Ussher's 6020 years! If there is "absolutely nothing" outside, what does the "Dark Energy" act on? And where is the Aether for these "Bow Waves"?
I would love some "expert" to peruse these figures! Any experts on relativity in the house?
[1] Gaol - you did not pass go and did not collect any Brownie Points!
[2] This "maximum time" is chosen to extend the "time since creation" as long as possible!
[3] I chased this up not to prove the "Relativistic Star Ship Calculator" wrong, but to get around some of the "NaNs", but didn't get far - Excel can only calculate years up to 10
308! Mind you even that is a mind bogglingly massively outlandish length of time!
<< Edit: Increased equation size, added title, then fixed a footnote >>