Is there a simplified way to model charged particle decay?
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✔️✔️Also, the fine-structure constant α=1/137.036, one expressing the strength of the electrostatic interactions in the natural units, is not a real constant.
It's running. However, it's only running at energy scales such that there exist lighter charged particles.
In Nature, it means that the constant is only running above the mass of the electron or positron - the lightest charged particles.
If there were massless charged particles, the electron and positron would become unstable - one problem - and the fine-structure constant would run to α=0 at very long distances - another problem, and it obviously doesn't.
So massless charged particles are theoretically impossible in our world - assuming that we empirically know some things such as the fact that there is a limiting Coulomb force at long distances.
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