Find me a claim about their 'time travel research' that is posted in a peer reviewed journal.
If it's reviewed by "peers" in "Time travel journal" or whatever, I'm sure it'll get published.
If we could find a gravitational lens that bends light precisely straight back to us, we could in theory see our own past, but it seems unlikely ever to find that offering the needed resolution...
space and time linearity, constant mass, non-ubiquity... So why not time travel ?
Time, as you experience it, is an illusion. If what you want to travel in doesn't exist, then you can't, can you?