Here's another view. String theory posits the 3+1 ordinary dimensions, 6 compact dimensions, and a shadowy dimension which is a limit of the other dimensions. String people are terrible at providing intuitive explanations to laymen, but I'll do my best. The idea seems to be that elementary particles like electrons and neutrinos are knots in the 6 compact dimensions. They aren't knots of energy or matter, they are knots in space itself. Each knot is a self-contained miniscule universe. They are like black holes, except we don't know how they are held together or what makes them become that way, or why every electron is identical to every other electron. Not likely the answer will come up soon. But it DOES make sense that such objects would have energy, the size of the knot is the wavelength, and that knots have two possible chiralities. That's good.

Now the simplest knot in our 3D world is the circle. That's a 1-sphere, an N-2 sphere. In the 6 compact dimensions the simplest knot would be the 4-sphere. That's an even number of dimensions, so there are two orientations.

Now note that in this scheme time plays no role whatsoever. The knot doesn't care about time. It doesn't change at all. It comes into and out of existence, but that is all. It doesn't move, not in it's own frame of reference. It just sits there. The wavelength of the object is simply it's diameter. The concept of "frequency" of the "wave" has no meaning. The knot has nothing to do with time. So while we call this property the wavelength, it isn't a wave at all.

The 3+1 dimensions then are strictly relative. They are concerned only with the interactions between the knots. They are irrelevant to the knot itself.

So...would two 4-spheres with opposite chirality have opposite spin? I'd be more inclined to think they are matter and anti-matter. One wonders what such chirality of a space would mean. A rather odd concept. But not THAT odd. It is well known that weak force interactions are chiral, and always in the same direction. Hmm.

Anyway, all this is far beyond my power to make any sense of. Good enough for an Internet post, though.