Fermi-diarac and Shannon-Hartley are equivalent

Update: I might want the Bose Einstein in place of Fermi-dirac. Consider them both options.

My claim: 1) The Pauli Exclusion and Nyquist sampling rate are equivalent 2) They are both entropy maximizing 3) They both describe the optimum aggregation of 'quants' that yield the minimum number of interactions, they are optimum flow. They are both fundamental, describing the general distribution of objects in most quantized flow systems. A boson happens when a guassian distribution prevails during radiation.

With respect to economics, the yield curve is fermi-dirac, it meets Shannon optimal encoding. When does it go gauss? When the large brokers jump ship, they are massively into long term treasuries first. So they drive down long term yields for a moment, and the curve is Guass and Guass is a Boson, wealth floats away.