I'm currently creating a universe and in that universe is the human race which has been around for about 37000 years. I am currently trying to figure out what tech they would have access to what would be left unexplored/impossible. They have started colonizing the galaxy and have seeded many solar systems. They do have the ability to travel near light speed and bend space to travel farther(I wanted to avoid going above light speed to avoid weird time stuff so I went with bending/contracting space in some manner. They do have access to massive portable power sources related to a fictional portion of the story. I might make a separate post about this as travel speed is important to the story) so they would definitely have the ability to reach black holes.
I was thinking about hiding a process within black holes to explain why they don't understand it/haven't ever seen it in nature(this universe is not the same as ours but I do want to keep similarities), but I'm not sure if humans would have the technology to explore or probe black holes more intimately in 37000 years. After that primer this brings you to the main question:
If you could have any technology(say you could patch any holes in the theory or currently unknown physics with some magic/sci-fi stuff) would it be possible for a person to explore a black hole or at least get more information about the area beyond the horizon?
I'm just curious about what would be needed to accomplish this so I can decide whether or not they will have access to that kind of tech. I wanted it to have some basis in reality ,but I do expect to create quite a bit of fictional answers just depends on how much. Maybe I'll scrap this idea if it turns out badly.
Edit:(Replying to the question on their travel capabilities) I want them to be able to travel through space within a reasonable time period without having to deal with hard to understand time changes or what not revolving around extremely high speeds. My understanding of high speed space travel is shallow. I specifically wanted to avoid having to deal with time travel, but I wanted there to be a way to travel space efficiently. I read something about a travel method that could contract space in front of the vessel and expand it space behind it. I was going for something along this line. I also was thinking about some sort of wormhole but I'm just exploring options at the moment trying to get the setting right.