Vanishing Act is not based on a true story. It's a product of the author's fictional world-building and storytelling skills. The plot and characters are made up to engage and entertain the readers/viewers.
The 'vanishing act real story' could refer to many things. One possibility is a magic trick - the vanishing act in magic often involves making an object or a person seem to disappear right in front of the audience's eyes. It usually requires elaborate setups and misdirection. For example, in some stage shows, a magician might use a hidden trapdoor or special lighting to create the illusion of a person vanishing.
It's not based on a true story. The plot and characters were invented by the writers for entertainment purposes. There are no real-life equivalents or incidents that inspired it.
Definitely not. The vanishing of the sun is a concept usually found in science fiction or fantasy, not in reality. There are natural processes that govern the sun's existence and behavior, and vanishing is not one of them.