Most of the action in Star Trek takes place in the real-world Milky Way Galaxy which is roughly divided into four quadrants, named after the first four letters of the Greek alphabet: Alpha, Beta, Gamma, and Delta. These are the galactic regions that include significant planets like Vulcan, Qo'noS, and of course, Earth. While Gamma and Delta still bear planets with ominous origins, the Alpha and Beta Quadrants are perhaps touched upon the most within the Star Trek mythos. Despite this common division, The Next Generation also referred to a new quadrant known as Morgana. But not much is known about this certain quadrant as it is not mentioned any further.
Even beyond the Quadrants, ardent Star Trek fans can spot the Galactic Barrier and several other celestial objects that are present in other galaxies like the Andromeda Galaxy (yet another real-world phenomenon) that are still yet to be explored more by the franchise's protagonists. While most of these galactic quadrants can be seen as astronomical phenomena rooted in scientific explanation, the mythos can also incorporate near-godly beings like the Sha Ka Ree in regions such as the so-called "Great Barrier." The two Barriers carry within them such heavenly mysteries that deserve explanations of their own.