I posted this somewhere else, but it was ignored and might not have been totally relevant to that discussion

so here it is in its own thread, my debunking of Rowbotham's wave crests/false horizon argument.
The horizon is not a physical object, it cannot obstruct light. Let me make an earthly example. I am a bacterium on a tabletop...
If I sit on top of an apple which is taller than anything else on the tabletop (which doesn't have a smooth surface, there are fruits all over it). There is a long thread (perfectly straight) which is attached to an orange at the other end, like this:

Now extend the table top, so that it is a bit longer:

And now very very long:

Is the thread ever broken?
However far away it is, as long as the apple and orange are taller than the obstructions (physically taller, not apparently taller by perspective or whatever) there will always be a direct line between them, and the orange will never be obscured from view by anything.
What is demonstrated here (the thread is a beam of light) is that perspective may change the size of things, but it can never change the relative position of things. Perspective will never put the sun BELOW the waves, only near them, and thus the sun can never be obscured by the effect Rowbotham describes.
This is particularly obvious on Everest. Being the apple, Everest is taller than all other objects on Earth. The sun is higher up than Everest is (700 miles, or 3000 whatever), so the 'thread' between them can never be broken...