My theory of time travel paradox solving is easy.

Avoidance.

Any time travel backwards results in a new fork, in realities(universes).

When ever you go back, think about BOTH times still going forward. Like taking a separate path on a road (but with NO CHANCE, to get back to the original path).

This can easily mesh well with current hypothesies about multi dimensionality in quantum mechanics.

Nice, clean, and neat.