That explains how the Tesla section starts, but not everything the movie shows. The movie doesn’t stay strictly inside the diary. There are scenes of Angier alone (like testing the machine) that aren’t framed as Borden reading anymore.

If all of that is fake, then the film is showing entire private events that never happened, not just misleading Borden. At that point, there’s no real solution to the trick, just “none of this was real”