Ok, Tom Bishop, let's use some math here. We can draw an imaginary right-angled triangle, consisting of a vertical line straight up from the observer, 3000 miles in length. A horizontal line, at 90 degree angle to the vertical one, goes out from directly above the observer to the position of the real FE sun. Then a third line goes direct from the sun to the observer, forming our triangle. The length of the horizontal line we call x, and we now have an angle, y, from the vertical to the perceived angle of the sun.
Using trigonometry, we can state that the length of x=3000tan y. Now, in order for the sun to appear to sink below the horizon line, the angle y must go to 90 degrees, if not beyond it. (Which it can't, because the sun is always above the horizon.)
The sun can be observed at 85 degrees (5 degrees from the horizon), so 3000tan 85 = 34,290 miles. But the FE is only around 25,000 miles across (the part we live on, we know it's infinite in size, apparently.) That's not all, as can be seen from the graph of y= tan x, as x tends towards 90, tan x tends towards infinity. Therefore, for the sun in FE to reach the horizon, it would have to get infinitely far away. That would mean it gets a lot smaller, a lot dimmer and appear to move a lot slower.
Ok, Tom, show us with some maths how perspective will make this seemingly impossible event occur. You can even throw some snell's law in, at least there's some maths to that.