A catchall terminology for the idea that you continue to exist as yourself beyond your death, through some either ascendence or metamorphosis of form.
This encompasses ideas such as Heaven, Hell, Spirits, Reincarnation, Nirvana, and other forms. Essentially, if you, the person, the ego, continue to exist after your own death.
This does not encompass things like your legacy or your will, as those are tangible actions that follow material cause and effect, rather than an abstract conceptual existence.
Gerard: "Hey man, wanna go ghost hunting with me?"
Davis: "Nah, I don't believe in any Greater Existence Cycle (G.E.C)"
Gerard: "That is why we need you, to be the skeptic on our team, as the one person who believes it is all over, man!"