This result could change physics forever

Exactly, our 'theory', just an >assumed< understanding of something.
If the instruments we use [to confirm our theories] are initially built on the foundation of said theories, there is no room left for error.
At 11.31, you quoted "that time would tick slower for me", that's incorrect, it would tick at the same rate [for you], but, [relative] to someone on earth, your time would be slower.