It's a little unclear what you mean here.

I mean the evidence that you originally requested.

Have you not thought about this yourself?

Casually. I would say, i have mused upon it - but it is merely speculation.

What does it mean that it is a reflection "of sorts"? Is it reflecting image back, like a mirror? Or something else?

All of the above. The (admittedly wild) ideas i have encountered often include a “black sun” or other radiation source we can’t see in the visible spectrum.

Sometimes this is depicted/imagined to be beneath us and radiating through the earth to create an “xray” (for lack of a better term) of the world in excited gas in the sky. Usually a dome is included in these views to concentrate that supposed radiation. I think there are also speculations involving a more straightforward reflection.

This was your word, so I'm using it in the way you intended.

So am i! My usage did not preclude other, perhaps less conventional, meanings for the word projection.

Would that result in a visual projection though?

It could. It all depends on if that redirected light reaches the eye or not ;)

As for using radio waves to excite air molecules and cause them to radiate to create projections there are several companies with working commercial prototypes i’m aware of. The idea isn’t that far out there.

It's a little unclear what you mean here.

I mean the evidence that you originally requested.

Have you not thought about this yourself?

Casually. I would say, i have mused upon it - but it is merely speculation.

What does it mean that it is a reflection "of sorts"? Is it reflecting image back, like a mirror? Or something else?

All of the above. The (admittedly wild) ideas i have encountered often include a “black sun” or other radiation source we can’t see in the visible spectrum.

Sometimes this is depicted/imagined to be beneath us and radiating through the earth to create an “xray” (for lack of a better term) of the world in excited gas in the sky. Usually a dome is included in these views to concentrate that supposed radiation. I think there are also speculations involving a more straightforward reflection.

This was your word, so I'm using it in the way you intended.

So am i! My usage did not preclude other, perhaps less conventional, meanings for the word projection.

Would that result in a visual projection though?

It could. It all depends on if that redirected light reaches the eye or not ;)

As for using radio waves to excite air molecules and cause them to radiate to create projections there are several companies with working commercial prototypes i’m aware of. The idea isn’t that far put there.