Can he possibly add the distant stars too, via imagining that the edges of his illusion are walls emitting appropriately incoming photons, as should look right to him from inside?  That's simpler than a skyscraper will be, he doesn't need to worry about parallax.

Can he possibly add the distant stars too, via imagining that the edges of his illusion are walls emitting appropriately incoming photons, as should look right to him from inside?  That's simpler than a looming skyscraper will be, he doesn't need to worry about parallax.