These results only imply time travel if you insist that something must either be a wave or a particle in the first place, and that 'therefore' the particle must

These results only imply time travel if you insist that something must either be a wave or a particle in the first place, and that 'therefore' the particle must be communicating with itself back through time somehow. Funny that a thought experiment originally designed to challenge the notion of wave-particle duality would instead be used to suggest time travel. (Note that I don't think the researchers are doing this, but the Daily Mail certainly is.)