Thanks Rich, That was a good link. This new theory could have more to it.
After Janeway left Earhart and Noonan on the alien planet, other aliens, a league of time police, eventually came and took them back to Gardner in a time machine. 5 days later, a Japanese sailor in a one man submarine surfaced in the lagoon. He mistakenly thought WWII had already started. AE and FN were held prisoner in make-shift bamboo holding cells, where they tried to tell the story of the time machine and aliens but of course the sailor did not believe them. The sailor called for assistance and the Japanese navy sent a boat with a load of aviation fuel and they flew the plane and prisoners off to a Japanese held island. The Japanese sailor was left behind and told to never trust the crazy stories his prisoners say, His commanding officer told him to keep up the good work, just before the sub submerged in the lagoon.
On the Japanese island, they took apart and studied the Electra. 3 months later, after making a copy they returned the pieces of the real Electra to Gardner, dumping them on the reef where they found it. AE and FN were executed on the other island, Or so the the Japanese thought. Actually the aliens, having grown found of AE and FN beamed them up and replaced them with copies they had made just at the right nano second so the Japanese never knew what happened. The copy of the Electra the Japanese made was destroyed by Americans at war's end. AE and FN lived long lives and when they finally died, the aliens returned their bones to Gardner, once again in a time machine. No one knows what happened to the Japanese sailor in the one man sub. Some say he still patrols the islands, still thinking WWII is going on and determined to never believe a castaway again.
A side effect of the time machine trips was a rift in time in the Pacific that pulled a nuclear aircraft carrier back in time for a short time. But that's another story