What specifically has Tumeni been wrong about here? I'm starting to see that the issue relates to the differences in what the horizon is perceived as in FE vs. RE, but it shouldn't affect what Tumeni has said.
The start of the whole 'beyond the horizon' talk came after jack stated that the horizon was just the point where we cant see things anymore (oversimplified paraphrase there)
The follow up replies asked what about things that we see that are further than [the RE] horizon.
The implication of Jack's statement is that the horizon, in a FE context, is essentially a 2D plane, where some combination of perspective, angular resolution, air density, EA - whatever.
This is why the examples of sinking ships and city skylines were introduced. If you can only see the upper third of a building, boat mast or other physical features, the RE view is that the lower portion is hidden by the curvature of the earth (the pink line in Pete's version of the diagram). But we still see the upper portion because its tall enough to not be hidden. This means were seeing something we would argue is demonstrably further away than the horizon, which is, for all intents and purposes, a 1-dimensional line on the earth's surface.
Since its viewed as evidence for seeing curvature at ~5 ft of elevation, it's in the right thread here, weve just gone off the rails discussing the wrong aspects of the claims that have been brought forward.