What does b mean in this context?

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In the discussion, the equation ΔS = (h·f)/T = k·b is analyzed, where S represents entropy, h is Planck's constant, f is frequency, T is temperature, and k is Boltzmann's constant. The conversation suggests that this equation resembles Boltzmann's entropy formula. Participants question the meaning of "b" in this context, proposing that it could represent logW, which relates to the number of microstates in a thermodynamic system. The inquiry centers on clarifying the role of "b" in the equation and its connection to entropy. Understanding this relationship is crucial for deeper insights into thermodynamics and statistical mechanics.
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What does b mean in this context?

\Delta S = \frac{h\cdot f}{T} = k\cdot b
where S is entropy, h is Planck's constant, f is frequency, T is temperatur and k is Boltzmann's constant.
 
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