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Why is the mass of the proton such a precise value?

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Why is the mass of the proton such a precise value?

A proton is composed of 3 net valence quarks and what is often described as "binding energy" or "a zillion gluons and quarks and anti-quarks self annihilating and popping into existence". The quarks are only about 1% of the mass but the mystery to me is understanding why all of this 99% "amorphous" dynamic binding energy in a proton (or neutron) amounts to the consistent and very exact mass or energy that it is.

I would have maybe guessed that an individual proton's mass would just have more of a range, that the amount of binding energy would be more variable


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