Article one: The earth is moving faster than the speed of light, and accelerating. (Essential for the FE theory)
Well, I think it's not necessary that the Earth's speed is greater than c in any reference frame for the flat Earth gravity to work....
Article two: There are stars visible to the sides of the earth (over the rim).
Article three: those stars are not accelerating with the earth.
Yep, I think I see where you're going with this...
Article one was discussed earlier in this thread. The earth cannot be younger than, say, 8*10^7 seconds, 80 million seconds, about 2.5 years, and be travelling at slower than the speed of light in order to maintain the 9.81 ms^-2 required for gravity. Incredibly young earth or gravity, take your pick.
I think relativity is more generous than that. If my understanding is correct, then the Earth can accelerate forever and never exceed the speed of light.
Suppose that you've got a rocket ship whose engine supplies a constant force. If you leave the rocket on forever, then the astronauts in the rocket will experience the "g-force" of the rocket's engine forever, right? If you're not sure, imagine that there's nothing else in the universe. That is, there's nobody around how can measure the rocket as going relativistic speeds. The fact is that in the rocket's reference frame, there's a constant force propelling it (accelerating it, actually) forward. Now, even if you add other frames of reference into the equation, that doesn't change what the astronauts experience.
The problem, then, is not to explain what's going on from the perspective of the astronauts. To them, everything is kosher: constant acceleration, constant "g-forces". The problem is to explain what everybody *else* sees. It's only when you go into a *different* reference frame that wierdness starts to happen.
So what happens from an outside observer's reference frame? Obviously, whatever we predict, we should not predict that the rocket will appear to be going faster than the speed of light. But, as everybody has pointed out, if the rocket's acceleration is constant, it will *have* to go faster than the speed of light. The only conclusion consistent with relativity, then, is that
in an outside observer's reference frame, the rocket does not undergo constant acceleration. In particular, its rate of acceleration, as the rocket's velocity approaches c, approaches 0.
How does the outside observer explain this phenomenon? Simple. F=ma, right? Well, if a --> 0, then F --> 0 or m --> infinity. Fortunately, m --> infinity as v --> c is already one of the predictions of special relativity (mass is relative), so this explains why a --> 0. A given force gives less acceleration to a greater mass.
So we see that there's no inherent problem in constant acceleration (1g) in one reference frame (the flat Earth) and variable acceleration in another.
The rest of your argument has lots of merit:
Article two, I've seen it last night, there are stars visible near the horizon, say about 20 degrees from the horizon. Please check for yourself.
Article three is a bit trickier. Supposedly the earth is accelerating. Relative to what? If the stars, then by now we're moving faster than the speed of light relative to them.
Well, not faster than the speed of light, as I've explained above, but at the speed of light (within experimental error). There is a serious problem with this: if the rest of the universe were moving at the speed of light relative to us, it would appear flattened out; it would have no length in the direction parallel to our motion (that's length contraction). The fact that we don't observe this is evidence that we are not moving the speed of light relative to the "fixed stars" [sic].
Okay, they aren't all at the top of the sky: We're not accelerating relative to them.
Well, I've always felt that the FE model requires that the rest of the universe is accelerating along with us. This is not too farfetched (from an FE perspective): Plato's cosmology puts all the stars on a fixed sphere centered on the Earth. FEers have to go back to a cosmology like that to get their gravity to work.
So what is the earth accelerating relative to in order to maintain gravity?
A ha! Turns out you don't need to accelerate relative to something in order to know that you are accelerating. You can tell just by the fact that the law of inertia no longer holds. Even if you were alone in the universe (no stars or anything), and you accelerated, you would know it.
Anyway, I think shifting your focus to how the rest of the universe looks to us is one of the best attacks on the FE gravity theory.
-Erasmus