This is one of those threads that kinda falls in between ROTS and the OT, so I threw it into the OT section.
Now, I was just thinking the other day. Assuming that Obi-Wan and Yoda aren't sitting in the operating room when Vader is made, how do they know that Anakin is really Vader? Will Obi-Wan flee, thinking that Anakin is dead after their battle? If that's so, then how will he know Vader's true identity? Do they just use the Force?
*on second thought, maybe this would be better in the ROTS spoiler section. Could a moderator move it please.*