Re: Time travel - Speed of light
what scientific theories 
btw- as far as my knowledge goes time got stopped during that night (in other words what do you mean by time was dilated?)
ps. Yes, you may explain that journey with scientific theories or explain that phenomenon by just extracting examples scattered in you surroundings. Don’t forget that the advancement you see now, would have served as miracles for the people exist in the past.
take an analogy of you playing a movie of you and your family on DVD player. You can play, rewind, Fwd or anything you want can do with that movie by just holding the control.
JARD asked about when human actually gonna travel, well they already travelled. e.g. Video conferencing 
so the question is more of existence of you, in fact what really an existence is?