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The article fails to mention one aspect, which could derail their entire premise. That aspect is "Are you visible to others when you go back in time"?

If you are visible to others when going back in time, then the whole concept is flawed, as simply a reaction to your appearance from an individual could set off an unknown sequence of events.

Hypothetically speaking, "I appear back in time to see a street I lived on, and a driver sees me appear. He slams his brakes, and loses control of his car, which careens into a house where my neighbor lives, killing the daughter of the family, who by the way was my fathers future wife who conceived me."

Elaborate on that!

If you are visible to others when going back in time, then the whole concept is flawed, as simply a reaction to your appearance from an individual could set off an unknown sequence of events.

The proposition put forth is that the fact of your existence makes it impossible to alter the past in such a way as to make your existence cease. That is, since you are here now, you are here and there is no way that the past exists which makes you not be here. Cause here you are.

To put it another way, it is impossible for you to have the desire or ability to go back and kill your father, because you obviously didn't, cause you're here.