"Time travel is inherently paradoxical."
Well, the subject of this thread could very well indicate that, while time travel may appear paradoxical, there is some possibility that quantum mechanics will allow it. But, should this actually be possible, that there is no possibility of altering your present, or "the" present, by doing so.
So it may be technically possible, extremely expensive and utterly useless. Sounds like a gov't program.
SD