At the 1940s dance in the opening sequence the camera shot from under the hi-hat cymbals of the drum kit shows four holes in the bottom "Flat" cymbal. These type of hi-hat cymbals called: "Flathats" are made by the Zildjian Cymbal Company of the USA and were not available until the late 1970s.
David and Jimmy don't know how to drive Allison's car, which has an automatic transmission, and they claim never to have heard of an "automatic" before. The first mass-produced automatic transmission was introduced by General Motors in 1939, two years before the United States entered World War II.
When the sailors arrive at the pier in the beginning, the white ship seen in the background is the NS Savannah, the world's first nuclear powered cargo ship. The NS Savannah was not launched until 21 July 1959, 16 years after the first experiment in the movie.
When David and Allison are going to the ranch, there is vehicle at the end of the route. When the angle of the camera changes, the vehicle is far away and then close up. (It occurs at 1:02:40 and 1:03:00 in the movie).
In the bar scene the night before the experiment takes place, David buys Pam a coke and himself a mug of beer. While sitting at the table, David picks up the mug of beer with his right hand on the barrel of the mug and takes a sip. In the next scene, hes putting the mug down and he has his hand on the handle instead of the barrel of the mug.
In a front shot of Allison's car, the rear view mirror is missing, and you can see the spot where it should be attached to the windshield. When the scene switches to a rear shot of the vehicle driving away, the mirror can clearly be seen in the window.
After stealing the truck to run the roadblock, a close up of David shows him ducking and hunching down behind the steering wheel just before they crash into the barricade. The view changes to a shot of the truck going through the barricade and the driver is sitting upright.
The scene where Jim Parker is fitting in hospital has an ECG machine showing his heart beat going crazy. In a subsequent scene where he fits again before disappearing, the ECG shows a normal heartbeat.
As Sailors are being driven on trucks to the "Philadelphia Naval Shipyard" they pass through the base with several live oak trees dripping with Spanish Moss - which is a dead giveaway for Charleston, South Carolina.
Early in the movie an order is given onboard the control ship to tell the Eldridge to turn off its equipment. The order is given to an enlisted man wearing a sound-powered phone who then turns to a 1MC box. Although the order needs to be sent by radio, both of the devices are only for internal communications on a ship.
The ship shown momentarily as the Eldridge (DE-173) at the beginning of the movie is actually the USS Laffey (DD-724), a Sumner class destroyer which looks nothing like a Cannon class destroyer escort. The Laffey is a museum ship in Charleston, South Carolina.