Question: Bond is the same character from this movie to Die Another Day, he doesn't age, but time still moves forward, Die Another Day is not set in the 60s. How do they explain that?
Answer: The short version is they don't, you just go with it. Suspension of disbelief, sure it's a "mistake", but also so in your face that nobody cares, because it's a deliberate choice. Q gets older, Bond doesn't, that's how the world works. One fan theory is that "James Bond" is just a codename allocated to the current 007, so as to mislead/confuse our enemies, with each one learning the history that has come before. Fun theory, but no way to prove/disprove it either way. Although No Time to Die features a new 007 because Bond has quit, so that will likely kill that theory once and for all. When Daniel Craig's term as Bond ends will be interesting, because the films to date have been the only Bond films with a clear continuous through line, including him getting older, more beaten up, more accumulated history, etc. That's harder to hand-wave away with a recasting - previous Bond films were all pretty much entirely standalone.
Question: After getting caught and locked up in Dr. No's lair they have some coffee which made them fall asleep. What was the point of this?
Answer: The scene is fairly faithfully adapted from the Ian Fleming novel, in which Dr. No enters the room and "examines" Bond and Ryder (who are both naked in the book and passed out on their beds rather than on the floor). It's not really explained in either medium why he does this, but the book is a bit more detailed about No checking them out in a kind of medical/physical sense.
Answer: According to Internet info, Dr. No's prosthetic hands were robotic implants, giving him superior strength with limited mobility.
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