What does it mean in simple terms the 2014 scientific discoveries about time travel?

Included the grandfather paradox. Because they say something about CTC, or Closed Timeline Curve. Basically, when you go back to the past, you only have half a probability to kill your grandfather. So, I suppose, in the end, when there’s the possibility of a paradox, the quantum state make you switch to the other probability. Dunno if it makes sense. So, what do you think?

DISCLAIMER: I did the research, but it’s not the latest, nor is it very authoritative. Read it at your own risk: https://www.scientificamerican.com/article/time-travel-simulation-resolves-grandfather-paradox/