Kamui

A powerful dōjutsu, originated from the Mangekyō Sharingan of Obito Uchiha, it allows the user to transfer anything to another dimension. If one spends a lot of time and trains one's chakra over and over again, this technique can be invoked. The target is enveloped with a barrier space and the user concentrates their mind to what they gaze at. The target can struggle helplessly, but against this technique no defence is possible. When the technique is invoked, the space at the centre of the barrier is distorted and the target inside the barrier is drawn in completely. The location and size of the barrier can be specified at will. It is a dreadful technique that, with skilled use and enough chakra, can even pull an entire human being into another dimension.

The Mangekyō Sharingan is a dōjutsu that, with continuous usage, burdens the user with the loss of their eyesight. Since this is the source of Kamui, using it in rapid succession puts Kakashi's body at risk as well. As his Sharingan was transplanted, usage of this technique poses an even greater risk to Kakashi. Similar to Amaterasu, repeated use of the technique puts a great deal of strain on the user, causing their eyes to bleed if overused.

Kakashi is able to use this technique up to at least three times in a given day, even when starting at full strength. At first Kakashi's aim and control over the size of the barrier was imperfect. Over time his aim and control improved, as he was able to accurately warp away small and fast moving objects, such as a nail. Kakashi is even able to consecutively warp away two fast-moving arrows.

During the Fourth Shinobi World War, Kakashi learned there is a connection between his technique and Tobi's Space–Time Migration as both acquired their Sharingan from Obito Uchiha and thus share access to the dimension through their respective techniques. Learning of the connection Kakashi teleport objects into the other dimension to hit whatever part of Tobi exists there to counter his intangibility.

Influence
Kamui is the word for a divine being in Ainu mythology, although it is almost never written with kanji in modern times. In a more general Japanese context, Kamui refers to the might and majesty of the gods, particularly the Shintō Kami.

Trivia

 * When Kakashi attempted to use this technique on Tobi, he told him not to bother trying as it would be useless. This was probably due to the fact that the two techniques share the same dimension, making the attack pointless.
 * Tobi's version of the Kamui techique is able to rift himself, and a physical target that he is physically touching. This enables him to be able to bring people back from the dimension that the rift will lead. Kakashi is unable to do this, where his kamui leads to the same dimension, the rift is targeted at a distance. Kakashi as a result is unable to go himself to the other dimension or bring things back, just send things as an offensive weapon.
 * The Third Databook seems to hint that other Mangekyō Sharingan users can access the technique through sheer training of the eye, though this is unconfirmed.