How does a globe and a flashlight can be used to show why the sun appears to move through the sky.

In fact, you may point your flashlight (or laser pointer, if you prefer) at the Andromeda galaxy. There is a non-zero probability that one or more of the photons will be seen by some alien in that galaxy when they happen to glance into the sky at the Milky Way. However, you must take care to aim your flashlight not where Andromeda appears now, but where it will be in 3 million years. Good luck!