This is a thought I have had since I was very young.
One possible way for existence to appear out of nothing, or at least out of minimal necessity, is for it to be the most coherent of all possible branches or rearrangements: the single materialized branch that will never “get destroyed” or fail to fulfill the final goal, if there is one, of order or mathematical structure and elegance. All possibilities exist as timeless candidates. For example, there is a possible world in which everything explodes in the next second, but it never materializes because everything ends, or will eventually end, under those circumstances. The everyday concept of time might not properly apply here; regular tenses of everyday verbs might not make sense because a future potential state might affect the present unfolding.
This might be relevant to the many-worlds interpretation of quantum mechanics.
Still, it doesn’t account for the existence of the possibilities themselves. Why should the possibilities themselves exist at all?