I have to stop now, but I haven't even addressed whether it is possible for such waves to exist above or beyond our spectrum of visible light.
I'm not sure what "waves" you're referring to. We do have telescopes that "see" infrared, ultraviolet, radio, microwave, and x-ray wavelengths in the electromagnetic spectrum. There's plenty we can see given the right instruments.
As far as the images of the gods in our minds, our brains aren't receivers... To the best of my understanding.