In an RE Lunar Eclipse the Sun, Earth, and Moon align in a straight line as so:
Sun --- Earth ---- Moon
It should be impossible for someone to see both the sun and the moon in the sky at the same time. The sun is on the day side of the earth while the moon is on the night side of the earth, directly opposite, at Noon and Midnight.
Yet, refraction is powerful enough that both the sun and moon could appear in the sky at the same time!
This argument fails horribly. The RE is not flat. As a counter-example, demonstrating that Tom has math to do before making his outlandish claim, here is an experiment:
1) Get two small objects. Paper clips will do fine.
2) Go to an open, relatively flat area at least 1 foot in radius.
3) Stand in the middle of the area.
4) At one foot to the north from your position, place one paper clip on the "floor".
5) At one foot to the south from your position, place one paper clip on the "floor".
6) Now "north paper clip", you, and "south paper clip" "align in a straight line" (sic).
7) Note the you can see both paper clips from your position.
Clearly Tom can't argue that an observer on the middle object and above the line between the three aligned objects can never see both of the first and last objects.
QED