[spoiler warning] In spite of all the efforts to stay true to relativistic physics, the movie had some major gaping "black holes" in its plot, due to major violations of the laws of physics. I love sci-fi and try to suspend disbelief when I watch sci-fi movies, but when a movie's big claim to originality is that they "got the physics right" by employing a world-famous physicist to write equations that they then fed to their rendering team, the bar is raised!
Some things the movie got wrong, in no particular order:
- A wormhole was supposed to be created by some alien intelligence "near Saturn". So was the wormhole orbiting the sun in the same orbit as Saturn? Or was it orbiting Saturn? Either option would require the wormhole to have mass.
- If you descended deeply enough into the gravity well of a black hole (such that one hour for you was equivalent to seven years for an external observer), there is absolutely no way the combustion-based thrusters on a small ship would have any chance of ever lifting you out of the gravity well (oblig. xkcd). Look at the massive 3-stage rocket that was needed to launch that same lander craft out of earth's gravity well at the beginning of the movie. And yet somehow the lander was able to get back up to the mothership that was orbiting the black hole just that much further out from the orbit of the planet that time was not as severely distorted. Note that it takes 60 times more fuel to get from 100km of altitude (the edges of space) to 250km of altitude (the orbit of the International Space Station) -- and in the movie, we're talking about a gravity well many zillion times deeper than even the one depicted for Saturn in that xkcd comic.
- Speaking of which, the mothership would have a much slower orbit around the black hole than the planet that they went in to land on, due to Kepler's second and third laws (dramatically exacerbated by the strong gravity around a black hole). So by the time they "popped back out" of the planet's orbit to return to the mothership, they would be far, far away from where the mothership's orbit would be at that point. (The movie "Gravity" made this same mistake multiple times in the name of "good Hollywood action".)
- If the main character really did end up getting pulled into a black hole, and made it out alive, he would not meet his own daughter, even as an old woman -- she would be long, long gone by the time he somehow got back out again due to this whole time dilation thing, which they already experienced moving just barely inside the "steep part" of the time dilation curve. Falling "all the way into the black hole" would cause an even bigger time dilation than what they experienced on the first planet they visited.
- You can't fall "all the way into a black hole" anyway, it would take an infinite amount of time to reach the event horizon from the point of view of the guy falling in, and an infinite number of infinite amounts of time from the point of view of an external observer.
- If you were extremely patient and the life support in your space suit somehow managed to support you until you did reach the event horizon of a black hole, and tidal forces didn't already tear you apart, you would probably be torn into subatomic particles as (from the point of view of an external observer) you entered the photon sphere, which is the radius at which light orbits the black hole. (Technically the photon sphere is 50% further out than the event horizon in some frame of reference.) This is a giant supercollider that continually collects light and matter and sucks it into an orbital "firewall" around the black hole, and then eventually spews jets of energy outwards from the two orbital poles of the black hole at energies so unimaginable that structures beyond galactic scale are created.
- Even if the black hole you fell into somehow conveniently delivered you back to the earth-side of an unconnected wormhole, way out by Saturn, there's approximately zero chance that a spaceship would be able to randomly find you floating out in the vastness of space if they weren't looking for you. (The movie "Gravity" also made this faux pas numerous times: "Oh look, there's the Chinese space station off in the distance!") Or, as Douglas Adams put it, "Space is big. You just won't believe how vastly, hugely, mind- bogglingly big it is. I mean, you may think it's a long way down the road to the chemist's, but that's just peanuts to space."
- Even in a black hole, time travel is not possible in any direction other than forwards (by means of time dilation) -- and gravity waves don't violate the arrow of time, so they can't be used to send information back in time.
- And love, although powerful, probably isn't a powerful enough force to make time travel possible either. Sorry, Anne Hathaway.