One thing that everybody seems to forget about the FE acceleration of earth is the very nature of acceleration.
You start with displacement, e.g. the distance from point A to point B. The first derivative of that is velocity, the speed at which you get from point A to point B. The second derivative is acceleration, the constant change of velocity, or the constant increase in the speed moving from point A to point B.
I also disagree on the notion of a universal rest point. And no, Einstein does not support such an idea. In fact, absolutely everything is dependent on a frame of reference. For example, if everything relative to you is stationary, you are technically at zero velocity, as your position is fixed relative to your frame of reference. Therefore, moving a billion miles per hour and not moving at all through empty space, with no frame of reference and no change in direction or speed, are one and the same. By extension, it has been suggested that if you have no frame of reference, then you cannot be sure that you are even rotating, which is something you inherently feel if you stand up and spin around in circles.
So, on to Earth accelerating. it is a fallacy to describe the earth as accelerating by any means without a valid frame of reference. And since FE'ers believe unquestioningly that Earth is accelerating, that means there is some frame of reference to make those claims. The frame of reference is us, since we are not accelerating, at least not on our own volition. We are exerting a force right back at the earth (the natural force), though because it is less than whatever force is keeping us glued to the ground, we do not float away.
My main point is this: Since making the claim of acceleration requires a frame of reference, you must infer that you would eventually reach the light barrier, which you cannot pass. The FE claim that there is no frame of reference, thus no light barrier, is a misunderstanding of basic vector physics. Also, since you are accelerating (again, requiring a frame of reference) you then require an exponentially increasing source of energy to maintain that constant acceleration, which is easily described as a parabolic graph.
The statement, then, that earth is undergoing constant acceleration is due to a lack of full knowledge of vector physics, and is in itself a fallacy. Thusly, a new theory is required to explain the force of gravitation, as this one no longer (and never really did) holds water.