The two trains of thought on this are as follows:
- The perspective lines meet in the distance and the "seeing forever" idea is only a theoretical one.
- Others believe that light curves upwards to limit our vision.
The "lines" are perpendicular to the observers' line of sight. So I do not see how they can "meet." If I throw a ball due south, I will see it cross the horizon due south (whether FE or RE), yes? If you stand 100 feet west of me, then you will see the ball leave my hands east of you, and it will cross the horizon east of you. The relation is \theta=arctan(distance from me/distance to horizon).
So, if we are separated by 1 mile, and assuming it is 3 miles to the horizon (a decent zetetic approximation), then \theta=18.4 degrees.
I see the ball vanish directly in front of me. You see the ball vanish 18.4 degrees east of south (from your view). I do not see how anything "meets" here. Notice, this calculation assumes a flat Earth with zetetic observations of vanishing distance.
"Others believe that light curves upwards to limit our vision."
Okay, where is the evidence for this claim?
Note: if you assume a UA, it is actually possible to substantiate this theoretically. But I challenge you to do so correctly.