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Ontological implications

What can we say of a particle without internal structure, considered by itself, out of relation to anything else?

 

Resonance Fine Art

End of Coherence by Eric J. Heller. "Electron flow launched from the upper left in a weakly random potential is colored according to quantum phase. Trajectories were written by color addition, so that color saturation represents coherence of the trajectories. A they get farther from the source, they loose coherence with each other. The color banding diminishes. A data subtraction was done using saturation as the marker, leaving the least coherent region in the lower right transparent and showing the artificial color gradient beneath."

 

Because a structureless particle lacks internal relations, we cannot attribute to it a form.

Out of relation to other objects, a particle lacks external relations, so we also cannot attribute to it a position.

Nor can we say that it moves, since motion, too, is relatively defined. Hence we cannot attribute to it a momentum, an angular momentum, a spin, energy, or a mass, since all of these properties derive their meanings from the quantum-mechanical description of motion.

Nor can we attribute to a particle, considered by itself, a charge, for charges only characterize the interactions between particles.

All we can say about a structureless particle (considered by itself) is something like this: if it exists, then it exists.

It follows that there is no way in which one structureless particle (considered by itself) could differ or be distinct from another structureless particle (considered by itself), and that therefore there cannot be more than one structureless particle (considered by itself). A structureless particle (considered by itself) is the closest possible thing to that in the world which corresponds to the grammatical subject sans predicates.

In other words, the "ultimate constituents" of matter, considered by themselves, out of relation to anything else, are identical in the strong sense of numerical identity. This confirms a conclusion at which we have already arrived via a different route: the number of "ultimate constituents of matter" equals 1.

 
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