Space–Time Migration

This un-named time-space jutsu is one of Madara's unique abilities that is granted to him by his Mangekyo Sharingan; this technique also appears to be isolated within his right eye. With this technique, Madara is able to teleport himself, or anyone he is in physical contact with, to another location within an instant. According to Karin's observation, when using this technique to appear somewhere, Madara's chakra signature itself just appeared out of no-where just as Madara himself appeared out of no-where before Taka in chapter #453. In the same chapter, Madara discloses that it is also within his power to use this same technique to appear before anyone that he happened to be looking for.

Sasuke Uchiha doesn't yet seem to be able to get his head around Madara's technique, but Kakashi Hatake likens this technique's characteristics to the Flying Thunder God Technique because it is also a time and space manipulation technique, but notes that Madara's version seems to be much more versatile. The ability can be used without predefined locations and without hand seals. It can also be used to transport only parts of Madara's body elsewhere, leaving him visible to opponents but impervious to attack and physical harm.

Similar to Kamui, Madara is also capable of teleporting other people to a separate dimension, which is conducted in a similar manner as his 'self-teleportation', in that the same swirling patterning, centered upon his eye, is present. However, it instead acts as an attractive force, both visibly drawing the target inwards and distorting their form, until they eventually vanish into the darkness of Madara's mask. When displayed, the separate dimension appears to be largely composed of a random arrangement of various rectangular boxes.

Kakashi and Tenzo speculate that if Madara wants to attack, he must become solid, leaving him vulnerable. However, Madara seems to be confident to the contrary...

In the anime, after speaking with Pain and Konan, Madara disappears with a flash of red lightning.

Also See

 * Kamui
 * Barrier: Toad Gourd Prison