I don't think time-traveling, if it is at all possible, would create paradoxes. These paradoxes are from over-analyzing the link between past, present, and future.
In reality, if anything could travel through time, it would escape the confines of its original time and now exist completely outside of time altogether, for the entirety of time spent outside of its original time.
Example:
A man goes back in time and kills his mother back before she had ever gave birth to him in that time frame. A paradox implies that it would be illogical for any possible outcome of this event to be a logical outcome.
The perceived answer to the paradox is the murder could not happen: he would either have an inability to interact with the environment, an inability to actually harm his mother, or immediately following the murder he would vanish from reality.
I find the most likely scenario would be he could kill his mother, but would continue to exist. He now is completely in that time, and in-effect immune from the potential to not exist. Now, this would just throws everyone off because, well how could he exist if he was never born?
As tricky as that thought is, by traveling back in time, he essentially became orphaned and now kind of 'exists outside of time', so to say, or more appropriately, exists wholly in the time to which he traveled back.
This does bring into question the concept of a multiverse, or how I would more correctly label it: parallel universes, although the two are very different. Multiverse implies there are multiple universes, though it is not indicated if these universes are at all connected to each other. For example, in a multiverse system, it is quite likely each universe has its own distinct set of 'universal laws', so physics might be completely different, the table of elements could be completely alien to our, etc etc.
A parallel universe implies that not only are there multiple universes, but they are both linked and not linked to each other. The common belief is that in a parallel multiverse - which is what I'll call a system of universes all parallel with each other - the universes all share the same reality, but the time dimension is independent in each universe.
Whether or not any of this is necessary for my non-paradoxical time travel scenario, I have no idea. Many variables are involved here, chief of which is whether time travel is even possible, which depends on exactly how the dimension of time interacts with the other dimensions. In string-theory, I believe it is implied that with the right technology, one can travel through time, which occupies the fourth dimension, and it is likely time-travel would occur in the fifth or sixth dimensions. I believe it could best be summed up as this: the first three dimensions are rooted in the physical, matter-filled world, and the next three dimensions would serve as the time world. So, the 4th dimension is the equivalent of the 1st dimension - a singular point but location unknown. The 5th dimension, like the 2nd dimension, is the part where points can be identified with a pair of coordinates, able to be plotted on a two-dimensional grid. The sixth dimension adds a third dimension to that 'grid' and thus adds a third number to any given coordinate. Depending on how time travel would operate, a plotted line would either work in the 5th or 6th dimension, depending on how one would traverse in the dimension of time. I'm unaware of the significance of the remaining dimensions in string theory, and I'm partially making it up as I go in regards to the described dimensions above.
But to conclude my example:
the man would kill his mom, but would continue living. He could either continue living in that time, or return to his own time, where his life would be unaltered.
It is suggested that in a system of parallel universes, he would actually return to a different universe than what he called home, in which his mom actually continued to live. But without that footnote, it is possible he would continue living in his own universe as if nothing happened.
But once again it is further complicated. If we return back in time, can the future, no matter what happens in the past, be altered? Take it to the extreme: what if you were to nuke the entire world in the past... would the future continue to exist as if nothing occurred? Could you remove people from existence in the future by going back and murdering their mothers? If someone went back in time and murdered your mother, would you all of a sudden cease to exist? Or would all of these time-travel events simply occur in the parallel universes? Are parallel universes infinite in number, and are simply spontaneously created when time is altered? Is that how the dimension of time works?
Can time-travel happen?
Mind blowing, I know. :laugh: