Now we all know about Urban Legends, in fact I daresay you know many yourself. There are, however, several that refer directly to traveling through time or to the actual possibility of Time Travel. Here, to save you trawling the interwebs yourself, are a few such Urban Legends. The information below is all freely available on wikipedia - because we all know how reliable site that is!
Moberly–Jourdain Incident
The Moberly–Jourdain incident, or the Ghosts of Petit Trianon or Versailles was an event that occurred on 10 August 1901 in the gardens of the Petit Trianon, involving two female academics, Charlotte Anne Moberly and Eleanor Jourdain. The women were both from educated backgrounds; Moberly's father was a teacher and a bishop, and Jourdain's father was a vicar. During a trip to Versailles, they visited the Petit Trianon, a small chateau in the grounds of the Palace of Versailles, where they allegedly experienced a time slip, and saw Marie Antoinette as well as other people of the same period. After researching the history of the palace, and comparing notes of their experience, they published their work pseudonymously in a book entitled An Adventure, under the names of Elizabeth Morison and Frances Lamont, in 1911. Their story caused a sensation.
Philadelphia Experiment and Montauk Project
The Philadelphia Experiment is the name given to a naval military experiment which was supposedly carried out at the Philadelphia Naval Shipyard in Philadelphia, Pennsylvania, USA, sometime around October 28, 1943. It is alleged that the U.S. Navy destroyer escort USS Eldridge was to be rendered invisible (or "cloaked") to enemy devices. The experiment is also referred to as Project Rainbow. Some reports allege that the warship travelled back in time for about 10 seconds; however, popular culture has represented far bigger time jumps.
The story is widely regarded as a hoax. The U.S. Navy maintains that no such experiment occurred, and details of the story contradict well-established facts about the Eldridge as well as the known laws of physics. Nonetheless, the story has captured imaginations in conspiracy theory circles, and elements of the Philadelphia Experiment are featured in other government conspiracy theories.
The Montauk Project was alleged to be a series of secret United States government projects conducted at Camp Hero or Montauk Air Force Station on Montauk, Long Island, for the purpose of exotic research, including time travel. Jacques Vallée describes allegations of the Montauk Project as an outgrowth of stories about the Philadelphia Experiment.
Rudolph FentzThe story of Rudolph Fentz is an urban legend from the 1970s and has been repeated since as a reproduction of facts and presented as evidence for the existence of time travel. The essence of the legend is that in New York in 1950 a man wearing 19th century clothes was hit by a car and killed. The subsequent investigation revealed that the man had disappeared without trace in 1876. The items in his possession revealed that the man had traveled through time from 1876 to 1950 directly.
The folklorist Chris Aubeck investigated the story and found it originated in a science fiction book of the 1950s, 'A Voice from the Gallery' by Ralph M. Holland, which had copied the tale from "I'm Scared", a short story by Jack Finney (1911–1995), from which the Fentz tale originated.
Billy Meier's Meeting with Jmmanuel"Billy" Eduard Albert Meier (February 3, 1937) is a citizen of Switzerland who claims to be a UFO contactee and prophet. He is also the source of many controversial UFO photographs, which he states are evidence of his encounters. Meier reports regular contact with extraterrestrials he calls the Plejaren (aliens from beyond the Pleiades) describing them as humanoid Nordic aliens.
As recounted in the unabridged version of Message from the Pleiades, Vol. 2, Meier was taken back in time by the extraterrestrial Asket where he met personally with Jmmanuel, alleged to be the real Jesus, and who told Meier that Meier's evolution was higher than that of Jmmanuel himself, saying, "Truly, your evolution has proceeded for 2000 years further, which fact I have not considered." The contact with Jmmanuel lasted for four days after which Meier was returned to the present time.

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Tevun-Krus #14 - Time Travel
Science FictionThe gang here at @Ooorah takes on Time Travel SciFi! From the greats to the new, check out this month's issue of original shorts stories, articles, reviews, Author Spotlights, and @Ooorah 's own special tribute to the beloved Leonard Nimoy.