For more information regarding the usage of this term, see Wyvern's Notes.
The Singularity Point (特異点Tokuiten), as according to the point-of-view of the Dragon Miko, is the term given to those who are capable of changing the fate of world. This term specifically refer to the 10 main protagonists of Z/X -Zillions of enemy X- TCG.
According to the parallel world interpretation, it is said that because a powerful correcting force works in the flow of time, one's individual actions "does not alter the approaching future". Nevertheless, the choices of those Singularity Points occasionally surpassed the fate and changes the future. The Dragon Miko watches over them and also those who acts around them, as those people can also become a Singularity Point at the end of the intersection.