Kamui

By focusing his Mangekyō Sharingan, Kakashi can create a barrier sending everything in the vicinity to another dimension, and there is no defense against it. He can also control the size of the barrier. He was even able to do it so effectively enough that Pain did not notice that he warped away the nail he sent flying at him, suggesting that he did not make the barrier any larger than necessary to transport the nail to another dimension. This is significant, since the chakra consumed by this technique is proportional to the mass of the target transported. Kamui costs a large amount of chakra to perform, especially in Kakashi's case, as his non-Uchiha body is predominantly not compatible with the eye, meaning it causes Kakashi more strain or fatigue than an Uchiha would experience when using the technique. Kakashi has only been shown to be able to use this technique up to three times in a given day, even when starting at full strength. When first seen, Kakashi's aim and control over the size of the barrier was imperfect. It took him two attempts to hit Deidara with the technique (still not being able to successfully take Deidara's head). Additionally, after he warped away an explosion made by Deidara, the point continued to collapse on itself even after he had transported the explosion. By the time of the invasion of Pain, however, his aim improved and was even able to focus more accurately on fast-moving objects. His improvement with the technique is also seen when he manages to warp away two arrows fired by Sasuke's Susanoo (that he noted to be too fast to dodge) without immediately becoming fatigued.

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

 * Kamui bears some resemblance to Madara's Space-Time Migration appearance when he is warping between different dimensions. It is unknown if the two techniques are related.
 * According to the Third Databook, "If one spends a lot of time and trains one's chakra over and over again, this technique can be invoked." This might hint that other Mangekyō users can access the technique, but this is not confirmed.