
Fascinating thread and made me sign up after lurking for a bit.
I’m working from memory here so please correct me if I am wrong.
Couple of things.
The ‘Twin Paradox’ is nothing to do with the different ages between the twins. Relativity predicts there will be a difference in ages between them.
The paradox arises because Special Relativity (SR) says that any frame of reference is as valid as any other. So to twin A on Earth his twins ship is moving away at say, 99%, of the speed of light.
However on the spaceship it is just as valid for Twin B to say that it is the Earth moving away from the spaceship at 99% speed of light.
The paradox is that they both cannot be ageing at different times with respect to each other. For A on Earth he is getting older as twin B, on the spaceship, time slows and B stays younger.
But twin B, on the ship, see’s Twin A zooming away from him at 99% speed of light and so twin B get’s older as Twin A, on Earth, stays younger as A moves away from the spaceship.
They are both getting younger and older with respect to each other at the same time.
It’s not really a paradox as the frames of reference change during deceleration, changes in vector etc , mostly to Twin B on the ship.
Still pretty cool though.
The thing about the ‘slice through space-time’ changing so you move into the past or the future of an Alien’s ‘Now’ moment is really cool as well, but Relativity says that is only possible because you cannot in anyway communicate or interact with that changing time line slice. So you cannot send a message to the alien warning him he’s about to have a traffic accident. 
Quantum theory may have something to say about that I suppose. You want strangeness in droves try and bone up on that.
Everyone have a good day and be lucky.
PS Speed of light is 186,000 Miles per Second, or 299, 792, 458 km per second for those of us who live by the decimal system. I tried to remember those figures without googling so feel free to check.