Very interesting argument but I have a couple of questions. You described the word paradox as, “…it refers to the “idea” of the existence of a problem that has no solution.” Actually, the #1 definition I read in the American Heritage Dictionary is “…a seemingly contradictory statement that may nonetheless be true”,
Also, what exactly is your definition of “time travel”? I was taught that time travel is strictly a local observation that can only be measured by the experience of an individual or single particle. Under that definition, the “twin paradox” (time dilation due to acceleration or gravity) and even sleeping can be considered time travel. You appear to be arguing against dematerialization and/or spacelike trips under the limits of special relativity in a single worldline.
I do agree that the “grandfather paradox” is not possible simply because the classic problem is presented as an observer’s issue magnified to a universal issue. Your statements about observation are correct when you isolate the experiences to a single worldline. However, the reason there are no paradoxes is because the universe doesn’t care how we react to its handy-work. In a Universe made up of infinite worldliness (superuniverse), everything is possible and has a 100% probability, therefore…no paradoxes.
“You believe in the “Great Flood” perhaps. Gee, where did all the water come from?”
I believe the explanation for the “great flood” stories originate with the changes that occurred near the Mediterranean at the end of the last ice age. Even on this worldline, there is a great deal of evidence to support the fact that sea levels did change radically in isolated areas worldwide. I also heard someplace that if the ice mass on Antarctica melted today, sea level worldwide would rise about 100 feet. I’m not exactly sure that’s true but still… Mt. Everest might be a bit of a stretch.
I do however agree with you that there are no physical paradoxes but for the opposite reasoning.
Peace to you also.