Big Time Rush is purely fictional. It's designed to be fun and engaging with made-up characters and plots. The creators used their imagination to come up with the concept.
Maybe they get transported to a parallel universe where Big Time Rush is the ruling musical group and they have to figure out how to get back to their own universe while also dealing with the power-hungry versions of themselves in this new world. It would be full of drama and self - discovery.
One popular storyline is the boys getting into a huge misunderstanding but their friendship prevails in the end. For example, there could be a situation where they are wrongly accused of something and they have to work together to clear their names, which strengthens their bond.
There might be a fanfiction where a fan wins a contest to style one of the Big Time Rush member's hair. The fan is super nervous but has this amazing vision for a haircut. It could be a story full of anticipation as the fan tries to execute their idea. There could be some obstacles like not having the right tools at first, but in the end, they create a masterpiece haircut that gets a lot of attention from the media and other fans.
The real story of Big Time Rush is about four hockey - playing friends from Minnesota - Kendall, James, Carlos, and Logan. They get the opportunity to move to Los Angeles to become a boy band. They face various challenges in the music industry, like dealing with a strict record label and trying to balance their new pop - star lives with their old friendships. It's a story of their journey from being ordinary guys to famous singers.
One possible fanfic could be about the boys going on a world tour. They encounter all sorts of crazy fans and have to deal with the pressures of fame while still trying to be true to themselves. Maybe they get lost in a foreign city and have to rely on their friendship to find their way back.
Well, in Big Time Rush fanfiction, James often takes on different roles. Sometimes he's the hero saving the day for the band. He might be involved in wild adventures that are not shown in the original show, like a secret mission to find a rare music instrument that could boost their career to new heights.
In a Big Time Rush overprotective brother fanfiction, the brother could be overprotective because of a past incident. Maybe his sibling got hurt during a small concert performance once. So, he hovers around, making sure everything from the stage setup to the security around his sibling is perfect. This could create some tension within the group as the others might think he's being too much, but in the end, they come to understand his motives.
Big Time Rush is purely fictional. The characters and plotlines are made up to appeal to viewers and offer an enjoyable fictional experience. There's no real-life basis for it.