The Uncertainty of Size in Subatomic Particles

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SUMMARY

The discussion centers on the concept of size in subatomic particles, emphasizing that traditional notions of discrete particles have evolved into the understanding of wave-packets with uncertain boundaries. Participants highlight that while statements about particle size, such as "subatomic particle P has size less than 10^-M meters," imply a boundary, this contradicts the nature of elementary particles like electrons, which are often described as point-like. The conversation concludes that size in the subatomic realm is better represented by the probability density of subparticles, as seen in atomic orbitals, rather than fixed dimensions.

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kwestion
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What is, and is not meant, by size when it comes to the subatomic world?

The FAQ's of this forum, and a wikipedia article I read recently seem to agree that "the very notion of a discrete 'particle' has been ultimately replaced by the concept of something like wave-packet of an uncertain boundary".

I think I like that statement, but I still read from time to time that subatomic particle P has size less than 10^-M meters, for example. How would one conclude that without assuming a certain boundary? In what ways do these size statements have meaning and in what ways do they not have meaning subatomically?
 
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I think that a good measure for the size of a particle is the size of an area where the probability density of subparticles (that construct the original particle) is high enough. Example are atomic orbitals: they are defined as the volume that has 95% chance to contain electron (although complete definition should also say that the volume drops 5% of the space with minimal probability density).
 
Okay, that sounds reasonable for compound particles.
If I have an elementary subparticle, say, a standalone electron. I think I'm supposed to be able to accept a zero, point-like width on one hand, and also accept an uncertain boundary on the other hand. A point seems to be an absolutely certain boundary, so I don't understand the apparent conflict in the language.
 

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