What Is the Significance of the Fine Structure Constant 1/137?

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The Fine Structure Constant, represented as 1/137, is a dimensionless number derived from the Bohr theory that connects the electron's charge to quantum mechanics. Its significance lies in its fundamental role in determining the strength of electromagnetic interactions. The value is intriguing because it appears without dimensional units, suggesting deeper implications in physics. The constant has garnered attention for its mysterious nature and the way it emerges from various physical theories. Understanding its significance could provide insights into the fundamental structure of the universe.
Himanshu
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The dimensionless pure number 1/137 obtained from the bohr theory (e^2/2hc epsilon_0) is given a particular name 'The Fine Structure Constant'.

What is the significance of this number? Why has this value a name?
 
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It fundementally ties the charge of the electron to qunatum mechanics - it's also odd that it pops up out of nowhere with no dimensions (after a bit of fiddling with 2pi)
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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