From Hicks:
What is stronger than “zero probability”? I just meant that in the probability field it turns out that events that lead to the paradox are impossible. Regarding what exactly will happen - it may work on the principle of "minimum energy", how much will change the entropy if it turned out that grandfather is not yours, but how much will change if you have a gun spell, or before entering the time machine you have a heart attack, or on the author of the time machine the brick will fall...
By the way, an interesting thought on this subject, it is possible that the smaller effect will be simply preventing the creation of a time machine. After its creation to solve the paradoxes of the universe will be "expensive", and it may prove that it is possible to travel in time, but because of the fact that people will struggle to make the paradox - it is easier (by entropy) to kill the author of the time machine. As if there were no time machines.