Or how about the week before then?
Monday: T-Rex is a little baby bouncing around for an infinite amount of time. Because of the nature of infinity, at some point he would have bounced into a time machine. This leads perfectly into Tuesday's comic...
Tuesday: The next strip takes place in the past. You can tell it is in the past because everything is black and white. Also, medical science is equivalent to black magic.
Wednesday: T-Rex uses his time machine to travel to the future. In this future time line, he has evolved into a human named Ryan North. He creates a time paradox by causing the very same disaster
that killed him in an alternate past timeline.
Thursday: T-Rex starts to feel the effects of the time paradox as time travel fever causes his eyes to bulge uncontrollably out of his head.
Friday: The time travel fever has spread to the entire space time continuum, and time itself is no longer stable. Presumably, the time paradox was undone over the weekend, and T-Rex is left with no knowledge of the previous week and how close we all came to Armageddon.