Force of Providence

, also translated as Existential Inertia, is defined as "the intrinsic necessary to facilitate the continuation of a life." Luck of a sufficient measure to "avoid mortal danger" is fundamentally indispensable to any organism—and in the event that it is by some means diminished, the organism is inescapably due to encounter misfortune.
In the 7th Singularity of Fate/Grand Order, the Underworld of Ereshkigal is said to be a "World" in which "the luck necessary to survive" is itself unnecessary. Consequently, erode at the Force of Providence of any amongst the living who trespass unto the domain. In the battle against Tiamat, this phenomenon is utilized by the protagonists as a means by which to weaken her.
In the Final Singularity, Cath Palug enacts so as to deny the complete annihilation of Mash Kyrielight by the actions of Goetia—granting her a lifespan comparable to that of a normal human by way of transplanting his own Force of Providence to her.
The technology available to Chaldea is capable of accurately assessing an individual's Force of Providence. At this time, however, the relationship between Providence and the Servant Statistic of Luck is unclear. 
In Olympus, Da Vinci explains that it's not just a command spell that powers the Black Barrel, but also Ritsuka's magical energy, their stamina...even their own fate. The word "Fate" here being an english stand-in for Force of Providence. Fate/Grand Order: Cosmos in the Lostbelt - Olympus: Interstellar Mountain City - Section 7: Thou Art the Harvest that Reaps the Stars (IV) 
==References==
Category:Terminology in Fate/Grand Order