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

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Discussion Overview

The discussion centers around the significance of the number 137 in quantum physics, particularly its relation to the fine structure constant and its implications in various physical contexts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants note that the fine structure constant, approximately 1/137, determines the strength of electromagnetism.
  • One participant references a relationship involving four fundamental constants and the fine structure constant, suggesting a deeper connection.
  • A humorous remark is made about preferring the number 1337, indicating a light-hearted tone in part of the discussion.
  • Another participant discusses the unsettling nature of the number 137, contrasting it with other mathematical constants like pi, and emphasizes that the fine structure constant is approximately 1/137.036.
  • A participant presents a mathematical relation involving the rest mass of the electron and the binding energy in hydrogen, suggesting a physical significance of the number 137.
  • In response, another participant challenges the interpretation that the fine structure constant can be used to calculate the electron mass, asserting it is used to derive the Rydberg constant instead.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation and significance of the number 137, particularly regarding its mathematical relationships and implications in physics. The discussion remains unresolved with competing perspectives on the nature of the fine structure constant.

Contextual Notes

There are unresolved assumptions regarding the relationships between the constants mentioned and the interpretations of their significance, particularly in the context of the fine structure constant and its derivations.

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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
 


We wanted it to be 1337 but that was already taken :biggrin:
 


"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.
 

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