The conventional term is "mystical experience," meaning something that by its very nature lies beyond the reach of language, except for some vague verbal hand-wavings about "mystery" and "transcendence." As far as I was concerned - as a rationalist, an atheist, a scientist by training - this was the realm of gods and fairies and of no use to the great human project of trying to retain a foothold on the planet for future generations.
Barbara Ehrenreich, Living with a Wild God: A Nonbeliever's Search for the Truth about Everything
atheism, mysticism, philosophy