The Grandfather Paradox is a theoretically impossible situation in which a person builds a time machine and uses it to go back in time and kill his or her own grandfather. The implication is that if this person were to do so, the parents of said person would not exist and therefore the person would not have existed to go back in time to kill his or her grandfather in the first place. But if the person did not exist, the grandfather would still have been alive, and the person's parents would consequently be alive, and of course, the person would be alive. This creates an infinite loop that is supposedly impossible to solve. But there is a solid solution that we have overlooked all this time, which is the probability plane. Imagine, if you will, a random event. For simplicity, let's consider a coin toss that can either end in heads or tails. Let's say it lands on heads. In our probability, the coin landed on heads. But in another timeline that has just diverged from ours, the same coin landed on tails. This is the nature of the probability plane. It takes into account all actions that are somewhat random in nature and plays them out in such a way that all of them occur in separate timelines. Therefore, you exist in infinite parallel universes to this one and you probably made a mistake on the second letter of the second word in the second paragraph of this exact text in one of these universes. (if it's this one, Ha! I got you this time.) Now let's return to our Grandfather Paradox. Taking into account these parallel universes, this so-called "paradox" can easily be explained. Let us refer to the point where the person goes back in time as point A. After this point, the person attempts to kill his or her grandfather. Thus, the timeline diverges at point A into an infinite number of possibilities. In several of these possibilities, the person succeeds in killing the grandfather and remains an anachronism of probability in a different timeline. That is to say, the person becomes a part of a different timeline in which he himself is never born. This does not violate the rules of causality because the universe in which he is now in is NOT the universe from which he originated. However, in at least one of these parallel universes, the person does not succeed in killing his or her grandfather. This universe is the universe in which the person originated. Therefore, the grandfather would still have been alive in this universe and so would the person, thus resolving the paradox. The probability plane has far reaching implications. Consider all the ways in which your destiny could have diverged. In one universe, you could be the smartest person who ever lived. In another, you could be a world-famous singer. In yet another, you could be the fastest typist in the world. There are so many possibilities, it boggles the mind.