Factual error: In the scenes where Gardner is messaging his Earth based female friend Tulsa from his Mars home, their communication is shown as being in real time. In truth, there would be minimum of a 4 min lag between messages due to the distance. (00:24:00)
Suggested correction: The tech is supposed to be highly advanced. This is at least kept consistent throughout the film as all communication between planets is in real time.
There is no tech that can alter the laws of physics that we know of. The near future setting of the film limits the scope of what's feasible.
Revealing mistake: The woman who died giving birth blinks as the doctor walks away. (00:13:55)
Revealing mistake: When they are at zero gravity they are floating, but the seat belts are not. (01:46:45)