The Vanishing Hotel
In 1979, two married couples driving through France to Spain, decided to find a place to stay for the night near Montelimar. They found themselves stopping in a strangely old-fashioned Hotel. On their way back they were unable to find the Hotel and claim all the photos they took their were missing.
What's not revealed is that they returned to look for the hotel in 1983 and found a building that matched its description, but refused to accept it was the one they had stayed in. Nor have they been able to explain why the manager accept their modern cash as payment or why no one at the hotel seem surprised by their clothing or vehicle?
Moberly–Jourdain incident
In 1901 Charlotte Anne Moberly and Eleanor Jourdain claimed to have travelled back in time to the late eighteenth century and seem Marie Antoinette and others in a small château in the grounds of the Palace of Versailles.
What's not revealed is at the time of their visit the aristocratic decadent French poet Robert de Montesquiou lived nearby and reportedly gave parties in the grounds where his friends dressed in period costume and performed tableaux vivants as part of the party entertainments. So in reality they may have gatecrashed a gay fancy dress party with Marie-Antoinette played by a cross-dresser. Another possibility is a shared delusion, a lesbian folie à deux, between the two women. It also worth pointing out their original account does not suggested a supernatural occurrence, that was added later, when they embellished their story to write a book.
Chinese tomb watch
A hoax dating back to 2008 claiming a Swizz watch was found in a 400 year old Chinese tomb with the time frozen at 10:06. This can be explained with one word 'Photoshop'.
Flight to the future
Air Marshal Sir Robert Victor Goddard claimed, that in 1935, he encountered a storm somewhere above an abandoned RAF airfield near Edinburgh, later re-activated as Drem. He subsequently saw yellow-painted aircraft and a 'modern' monoplane neither of which were in RAF service in 1935. Leading him to believe the storm had transported him forward in time to 1939, when these would have beenin service at Drem.
In the 1930's air navigation was primitive relying on dead reckoning, map and compass, and landmarks that were a) visible, and b) correctly identified. It was all too easy to get lost blind flying in a storm. The airfield he saw was most probably near-by Renfrew Aerodrome which would have been populated with brightly colour monoplanes.
Also given he didn't write about his 'experience' till sixteen years after the event, it could simply be a case of false memory. He was also an avid Ufologist and claimed to have photographed a ghost (actually a double exposure of himself). So perhaps not the most reliable eye-witness?
The Philadelphia Experiment
It's alleged in October 1943 the U.S. Navy rendered the USS Eldridge invisible in a cloaking experiment that caused it to travel back in time for 10 seconds.
It's worth pointing out that this story originates from a single source with a history of mental illness who claimed in 1955 that he'd witnessed the experiment. It should also be noted that USS Eldridge didn't enter service till August 1943 and was on it first shakedown cruise in The Bahamas at the time the alleged experiment took place. While veterans who served aboard it have confirmed it never made port in Philadelphia.
The most likely explanation is degaussing experiments which have the effect of making a ship undetectable or 'invisible' to magnetic mines, which were conducted in Philadelphia. Its also known that the higher-frequency generators used in these experiments were capable of producing coronal discharges.
Time Travelling Hipster
A photo from 1941 (see above) of the re-opening of the South Fork Bridge in Gold Bridge, British Columbia, showing a time travelling hipster.
His style of sunglasses first appeared in the 1920s. The modern printed T-shirt, on closer inspection is a sweater with sewn-on emblem, often worn by sports teams of the period, most likely the Montreal Maroons. The remainder of his clothing would also appear to have been available at the time, but far more casual than those worn by the other individuals in the photograph making him stand out.
The Montauk Project
An out growth of the The Philadelphia Experiment it's claimed there is a secret underground research facility on Long Island that includes a time tunnel. According to the conspiracy theories its the work of American and Nazi scientists, working on all sorts of weird and wonderful things, funded by Nazi gold found on a train in a tunnel in France. Nikolai Tesla even faked his own death to come and run the show. Why else would you keep a disused radar station above it and not demolish it?
What no ones ever been able to explain is how it was possible to build a 12 level underground complex employing thousands of people without a single bulldozer ever being seen or any essential supplies, such a toilet paper and food being delivered. While the radar station above it, the only surviving SAGE radar system in the world, is being developed as museum and information centre to attract unwanted visitors to the site.
Hit and run victim from the past
Rudolph Fentz is an urban legend from the 1970's presented as evidence for time-travel. The story goes that a man wearing 19th-century clothes was hit and killed by a car in New York in the 1950's. Investigation revealed that he had disappeared without trace in 1876 and traveled through time to 1950, presumably materialising in front of a car, making him the world's worst time-traveller.
The story actually originates from 'A Voice from the Gallery' a science fiction book of the 1950's which was in its turn was inspired by "I'm Scared", a short story by Jack Finney.
CD case in the 1800's
This is based on a picture of Joseph Smith showing the gold plates of Nephi, on which the book of Mormon is based, to the eight witnesses. It's said the objects being removed from the box are empty jewel cases from which he had removed the gold plates. The claim being that the gold plates were in fact CD-ROM's. Although no one's ever explained how Joseph Smith was able to read and transcribe them as computers weren't widely available in the 1800's.
To be honest, looking at the picture, the shape of the lid and texture of the box in the painting points to it being of wood and my first impression is of the man lifting a clear glass plate out of it. The danger is as in the case of the 1928 cell-phone (below) were looking back in time with modern eyes and sensibilities and interpreting what we see accordingly. Anyway it seems strange time-travellers would use an outdated technology such as CD-ROM's.
1928 cell phone user
It's claimed that bonus material on a DVD of the Charlie Chaplin film 'The Circus' shows a woman using a cell-phone at the film's Los Angeles premiere at the Grauman's Chinese Theatre in 1928.
Leaving aside the total absence of any infrastructure to support such a device in 1928, which would also have to be transported back in time (which raises the question of who she's talking to?), the most likely explanation is a portable hearing aid. Which were just beginning to be developed around this time.