Because the important thing is not to model what has already been modeled, but to model nature. The missing things in Max' model are spin, charge chirality, and mass. We achieve these things when we model the 4-d particle moving in various ways through the surface of space. For instance, if we return to the idea of the loop spinning through Flatland, the loop could turn through Flatland like a wheel turning through space. One side would spin upward through the surface, the other side would spin down. The loop could also spin toward itself (like a snake, biting its tail and then rolling its body towards its center). It could do this to the left or to the right. The loop could also rotate on an axis, thus tracing a circle or circles through Flatland.
Now this is Flatland, I'm not sure how a 4-d object would look performing similar tricks through the surface of 3 space. But my gut tells me that if it were to perform such tricks we might come to call these motions spin, charge and chirality. Likewise, mass arises from the inertia of falling toward the future.
Structure is not enough. We need to know how the structure moves.


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