Is there a concept that refers to phenomena that are caused or seemingly caused by something outside the physical realm? I am referring to phenomena that seems to have been shown to be caused by something outside the physical realm, or the quantum realm, if the quantum realm is considered to be separate of the physical realm. The experiment showing that no discernible cause (invisible matter or force that cannot be perceived or detected), we would use the concept to refer to the possibility that the cause must be external of our universe or physical realm.
Not necessarily ‘outside’ the physical universe, more like ‘not understood’ or not ‘publicly known’ within this universe. If you’re wondering or need to explain your side to receive a better answer, contact me. Consider metaphysics and the possibility of 4th dimensional interference while humans can only perceive three (l x w x h).
I believe you mean "magic" - or "supernatural" events or entities. While I would be somewhat dismissive of such claims, the majority of people in the world believe in such phenomena. In the USA, a 2007 poll found that
19 percent of Americans believe in “spells or witchcraft,”
23% say they have actually seen a ghost or believe they have been in one’s presence, 34% of people who say they believe in ghosts, 35% of people who say they believe in UFOs. (common parlance for space-alien 'visitors') 64% of people believe in a personal God or Gods who interacts with us/talks to people.
The quantum realm is not to be considered as a different realm, our reality is made up of quantums. It's only a different scale, at which certain physical properties ct different on the elements of that "size".
The most general concept for "strange" causation from outside the physical world is "paranormal", though it may include events that are just unexpected, like alien visits.
Various other realms have been proposed. I. Philosophy, 'dualism' refers to the notion that human actions in the physical realm are caused by mental actions in the separate mental realm.
The words "transcendental" and "qualia" can indicate elements of other realms (out just things that cannot be described in terms of physics).
In religion diverse non-physical realms are suggested or implied, like paradise, hell, Nirvana, the afterlife, the eternal hunting grounds, and so on. Those might be said to interact with the physical world, sometimes. Though I am not aware of a unifying concept, other than reusing "dualism".
Idealism? In Kant's modern idealism, for example, the "phenomena" are related to or in some sense "caused" by "noumena," the Ding an Sich or thing-in-itself. These noumenal entities are beyond direct knowledge or any firm basis of judgment, thus beyond what we might call the physical realm of causality and other laws of physics. How exactly these material and ideal realms are connected remains problematic, as in Cartesian dualism. For Kant, the self or subject may itself be noumenal and is thus endowed with freedom, which Kant describes as a different type of "nonphysical" causality. This probably isn't what you were looking for. But in a sense all of idealism from Plato on would require the sort of terminology sought in your question. I'd agree too with Noah Edelson, above, that broadly "supernatural" is pretty much synonymous with visual, auditory, or other sense data from a "nonphysical" or metaphysical source. Not sure I agree about magic, however, which can be thought of as a sort of misdirected or unproven physics, manipulating forces in a physical continuum. But I doubt practitioners of magic agree upon, or even want, a clear definition of its bounds, which reach so luxuriously from card tricks to dread shapes summoned out of Spiritus Mundi.