The “supernatural” refers to that which is beyond nature and not subject to the laws of nature, according to the standards of current science or rational understanding of the world. It can therefore refer to religious “revelations”, “miracles” or mystical experiences, or even paranormal phenomena.
Here, “supernatural” is synonymous with “metaphysical”, as that which is beyond nature is also that which is beyond the physical world. Simply put, the former has a religious connotation, the latter a philosophical one.