Had a strange thought stay with me after an odd physics dream. I haven't thought this all the way through, nor researched it at all. But I do want to write this down before I forget. I've come up with some of my best mental reaches at 4am. Plus, if I don't offload it from my brain now, I won't sleep, and I'll have forgotten it by morning anyway.
It occurred to me that if we could watch a single pulse of a wave, from the frame of reference of the average position of that pulse, it would look like an edge-on circular-orbiting body (from the frame of reference of the average motion of that orbiting body).
This seems to work (at least in my sleepy mind) with both longitudinal waves and transverse waves (compression waves).
So here's my weird 4am awake-but-not-awake thought: Photons. A particle that behaves like a wave. Or a wave that behaves like a particle. Could that oddity be the photon we can detect in some kind of orbital motion around a counterpart we can't detect for some weird quantum-physics or higher-dimensional math reason I can't even begin to coherently fathom, let alone articulate? If such an "invisible elf" counterpart particle was of the same mass and motion (though phased), the wobble wouldn't necessarily be apparent/detectable, neh?
And if it had mass, might it account for some portion of dark matter?
Okay, so here's the question: What am I missing? And please keep in mind that I'm almost certainly not going to understand the answer unless it's in dummy-mod speak (aka, monosyllabic grunts and obscene gestures). Thanks, and I'm off to bed.