An Einstein-Rosen bridge, colloquially known as a wormhole, is a distortion of spacetime that in theory may allow near-instantaneous transit to anywhere in the universe. It is named after physicists Albert Einstein and Nathan Rosen, who are popularly credited with developing the theory of wormholes. In the film, a wormhole presents the key to humanity's chance for survival by allowing the crews of the Lazarus Project and later the Endurance to travel light years away to another galaxy containing potentially habitable worlds.
NASA had observed a disturbance of space-time within the orbit of Saturn, about 48 years prior to the start of the film. This gravitational anomaly was discovered to be a wormhole. The wormhole remains open 50 years later when Cooper is departed from the Tesseract, approxiamtely 137 (Earth) years after its discovery.
The wormhole places potentially habitable worlds within humanity's reach, allowing plausible colonization missions to be undertaken. 38 years after its discovery, NASA launched the Lazarus missions, and 10 years later the Endurance, to ensure survival of the human race on one of these worlds.
As wormholes are not naturally occurring phenomena, NASA theorized that the wormhole was placed there by unknown beings looking out for Earth's population, giving them the opportunity to find a new world. Towards the third act of the film, Cooper comes to the speculative conclusion that the wormhole was placed there by future humans in order to ensure the survival of their species, and giving them access to the quantum-data required to complete Professor Brands equation of gravity, further granting them the ability to create the wormhole in question.
As the Endurance approaches the wormhole, Cooper expresses surprise at the wormhole's spherical appearance, noting that all of the text-book drawings he had seen of wormholes presented it as a circular vortex. Romilly explains that this is due to the universe being represented in two dimensions, and thus a sphere would be represented as a circle. Romilly further explains that wormholes function by "folding" space in half and allowing an object to travel from one side of the wormhole to the other instantaneously, representing this concept by bending a sheet of paper in half and pushing a pencil (representing the Endurance) through the paper.
Once they reach the wormhole, Cooper pilots the Endurance around the wormhole and gradually edges the ship towards the surface until it is pulled inside. Once inside, the Endurance is propelled through a multidimensional passage, composed of cosmic matter in a constant state of flux. Cooper discovers that he has lost control of the Endurance, and Doyle explains that this is due to the fact that the ship has passed through the "bulk," or space beyond human's three dimensions. As the crew of the Endurance rockets through the wormhole, a visual distortion in spacetime appears inside of the ship's cockpit, which Amelia Brand believes to be the bulk beings making contact with the crew. Despite Romilly's protests, Amelia reaches out to touch the distortion, which causes her hand to begin warping. Before they can make any further determination as to the nature or origin of the distortion in space, the ship exits the wormhole, although Amelia states she believes she has just engaged the the "first handshake" with extraterrestrial life (although the distortion is later revealed to be Cooper reaching out to Amelia as he travels through the black hole after exiting the Tesseract).
Later, after Cooper allows himself to fall into Gargantua in order to gather the data necessary for Murphy to solve Dr. Brand's equation, he enters the Tesseract, where he realizes that unknown beings who created the wormhole are in fact humans from the distant future. These humans had evolved to the point that they had mastered the laws of physics and existed within five dimensions, possessing the ability to create wormholes and placing one near Saturn in order to give humanity a chance to save itself from their dying world.
2008 Script Edit
The opening sequence of the script features the collision of a neutron star and a black hole which creates an energy burst that ends up detected by LIGO receivers, this is the first discovery of the wormhole.
It is possible that the wormhole became a permanent satellite of Saturn.