There is nothing supernatural or mystical occurring. This is not to be confused with the more usual use of the word intuition to mean psychological subconscious reasoning, which is a different matter altogether being the probable foundation of guessing, which is where it lies in truth-value. Metaphysics or ontology is the study of the nature of reality. Metaphysics, epistemology, and semantics are tightly interwoven. Semantics is needed to communicate any knowledge, metaphysics to know what there is to know, and epistemology to know how to know.
Reality is objective being or existence.
There is only one kind of reality, one kind of being, but with many forms. Leibniz thought that we lived in the best of all possible worlds. In one sense, he was right because there are an infinite number of real worlds and we live in but one. Every universe that is possible exists, as expressed mathematically and scientifically in the Many Worlds Theory of quantum physics. The universe, reality, had a definite beginning, called the Big Bang, or Alpha Point, and it will have a definite end, called the Big Crunch, or Omega Point.