What is the significance of the number 137 in quantum physics?

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What is the significance of the number 137 in quantum physics??

What is the significance of the number 137 in quantum physics??
 
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The fine structure constant (roughly 1/137) basically sets how strong electromagnetism is
 


"It would be less unsettling if the relationship between all these important concepts turned out to be one or three or maybe a multiple of pi, but 137?"

This is a pretty strange comment, because it strongly suggests that the number is exactly 137. If it had been exactly pi (or exactly anything that's defined in a completely different context), that would have been a lot more remarkable than the actual fact, which is that the fine structure constant is approximately 1/137.036.
 


This may help show the physical significance of the factor 137.

mc2 = 511,000 eV = 2·1372·13.6 eV

where 13.6 eV is the binding energy of the electron in the hydrogen atom, and mc2 is the rest mass of the electron.

Bob S
 


That's so misleading I have to jump in. The fine structure constant is absolutely not a way to calculate the electron mass given the Rydberg constant: it's a way of calculating the Rydberg constant given the electron mass.