I'm needing some clarification here, and I do mean this as discussion not debate.
Before the discovery of ionizing radiation, humans had no perception or cognition that it existed, but it very definitely affected our lives. We still do not directly perceive it, although we have devices that can detect it, and we understand how it affects us. Prior to it's discovery, that would have met your definition of supernatural, no? Similar observations apply to other portions of the EM spectrum.
Currently, we know there is Dark Matter, and Dark Energy. While there are some hypotheses about what Dark Matter is, there is still no proof for any of those theories; We know even less about Dark Energy. They do apparently affect our existence (the former apparently making our material existence possible, the latter may eventually end our existence), but they "extend beyond ... limits of human perception and cognition, but it affects our life."
Thoughts?