Earlier quoted context omitted.
Am I missing something? How is that?
2^57 seconds is about 4.5 × 10^9 years, which is the age of the universe. They would only need that many stills because it would be possible to do a binary search on the footage, as each frame either has the bike in it or does not.
(In fact, you don't even know if a bike was ever there without already having identified a frame with the bike in it. After all, the physicist could be lying.)