Well, there's two basic "types" of sci-fi if you want to go into what's allowed and what's not. "Hard" scifi is any sci-fi story that sticks as absolutely close to accepted rules and theories of science as possible. "Soft" or "mass media" scifi is any type of sci-fi that goes into the impossible or the extraordinary. IE, FTL, Time Travel, etc.
The most common and most popular kind is soft scifi, simply because it's the one people enjoy most. Why? Because it breaks far enough away from reality to allow the reader to properly engage in the escapism they desire. Yes, there is a point at which their "suspension of belief" ends. But if you can get yourself comfortably inside that bubble, you're almost guaranteed to keep the vast majority of people happy. Well, so long as the story is good. ^_^
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