The experiment was allegedly done by Dr. Franklin Reno as an application of Einstein's unified field theory. The experiment supposedly demonstrated a successful connection between gravity and electromagnetism: electromagnetic space-time warping.

The Navy denies that it ever did such a test. There are lots of questions for the creators, why they done this experiment on a such big object with people on it. They could do this on small objects, or animals, and watch their reactions, then decide that making this experiment on humans is a high risk. This experiment can be done on other object, but why it wasn't made ? because it is impossible.

This is my point of view, let's see other opinions.

The Navy does all kinds of experiments, but they keep it secret.It's true that the Navy was experimenting with "invisibility" in 1943, but not with making ships disappear. Edward Dudgeon, who says he was there on the U.S.S. Engstrom, claims that they hoped to make our ships "invisible to magnetic torpedoes by de-Gaussing them." Dudgeon described the procedure:

"They sent the crew ashore and they wrapped the vessel in big cables, then they sent high voltages through these cables to scramble the ship's magnetic signature. This operation involved contract workers, and of course there were also merchant ships around, so civilian sailors could well have heard Navy personnel saying something like, "they're going to make us invisible," meaning undetectable by magnetic torpedoes...."

The central claim of the Philadelphia experiment may have a basis in fact, however. Edward Dudgeon describes the event.

"I was in [a] bar that evening, we had two or three beers, and I was one of the two sailors who are said to have disappeared mysteriously...The fight started when some of the sailors bragged about the secret equipment [radar, sonar, special screws, a new compass, etc.] and were told to keep their mouths shut. Two of us were minors....The waitresses scooted us out the back door as soon as trouble began and later denied knowing anything about us. We were leaving at two in the morning. The Eldridge had already left at 11 p.m. Someone looking at the harbor that night might have noticed that the Eldridge wasn't there any more and it did appear in Norfolk. It was back in Philadelphia harbor the next morning, which seems like an impossible feat: if you look at the map you'll see that merchant ships would have taken two days to make the trip. They would have required pilots to go around the submarine nets, the mines and so on at the harbor entrances to the Atlantic. But the Navy used a special inland channel, the Chesapeake-Delaware Canal, that bypassed all that. We made the trip in about six hours"

Now, this experiment seems to be only a myth, but, who started the speculations about this experiment ? We don't have answers too many questions, and probably we will never know if the experiment is real or not.