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"The simple truth is that nature herself is evidence of the violationof the second law"No it's not.
While we are at it "Planck formula: hv = klogW."Oh no it isn'th(nu) is a term in energy whereas K ln w is an entropy term (you would need to multiply it by a temperature to get a term in energy)
That's exactly what I said.I just wonder why you didn't get it right the first time.