Tom Bishop doesn't seem to get where pressure comes in regarding his own idea. If we scale to presume the Earth as a very large slab with the sun making tiny circles around its center, then the sun is what's mainly putting energy into this system, meaning the "atmolayer" would have the most heat around that central region where the sun traces its inexplicable circles. Since volume isn't an issue, and a force is causing the gases to try and come as near to the Earth as they can, this hot zone in the center would quickly ascend and expand out across this big flat slab, forcing the cold air in beneath it.


Because the hotter, more highly pressurized gases (edit: this is to say they
would be more highly pressurized if volume were finite) aren't bound by volume yet still affected by the downward force, they would continually spill out over the top and force the colder gases in beneath them. This would be observed in the southern hemisphere (-plane?): at high altitudes we should see an extreme current of hot air going directly south, away from the center of the sun's path, out over the ice wall and onto godknowswhere. At lower altitudes, like the ground we're standing on, we should observe cold winds rushing north.
There's what we can predict using your hypothesis. Since we observe no such thing, your hypothesis must be wrong.