Linked from
The 35 pages that link to Boltzmann constant, each with the reason it gives.
TemperatureRelated: It sets the energy scale corresponding to a given temperature.
Ideal gasRelated: It converts the gas’s macroscopic temperature into molecular energy.
Thermal energyRelated: It sets the energy scale corresponding to a given temperature.
KelvinRelated: Fixing its numerical value defines the kelvin in the modern SI.
Canonical ensembleRelated: It converts the ensemble's temperature into an energy scale.
Natural unitsRelated: Setting kB=1 expresses temperature directly in energy units.
Third law of thermodynamicsRelated: It connects microscopic state counts to thermodynamic entropy.
Planck unitsRelated: Including kB lets Planck temperature be expressed as a unit of energy.
Eyring equationRelated: It appears with temperature to set the thermal energy in the equation.
Landauer's principleRelated: It converts the entropy cost of erasing a bit into an energy scale.
Wilhelm WienRelated: It appears in the statistical physics underlying thermal radiation formulas.
Kelvin scaleRelated: Its fixed value defines the kelvin in the modern SI.
Photon gasRelated: It relates the photon gas’s temperature to typical photon energies.