Guassian Noise in the shoe industry

In the shopping mall, the shoe store owner knows who wants new shoes and who is just looking around. Why? Because that is his business, he wants to capture all the customers who may be making redundant visits to multiple shoe stores. When he has captured all the redundant shoe buyers, then by definition, he has recognized all the wanderers. Gaussian noise is a good outcome, it means that temperature is stable and redundancy removed.


Shannon had a gaussian noise requirement in his theory because of sampling error in electrical systems.  That gaussian noise is there because the atom has removed the redundancy in the system. But Shaonnon could have easily re-interpreted his result to say:  
'When all redundancy is removed from the system then all that remains is sampling error of finite systems.'

That error will fall off as x^2, it will be minimum phase, it will be Gaussian.  Engineers complain because of the method I use, not everything is Gaussian, they say.  Except when temperature  (bandwidth) is stable, and the system is finite; then it is guassian, whether it is the shoe store or a coax cable.

What is sampling error in the shoe business? Periods when things are a bit congested. Shoe buyers see the store has a bit of a wait, so they tend to add a bit of wandering in their shoe buying habits.  They become customers who wander a bit  occasionally, and when a good shoe buy comes around, they grab at it. That process of equilibriation is called radiation, in physics. WHen the shoe store is equilibriated, then some folks will by four pair, rarely, and some buy two pair, but more frequently, one person per pair. So the amount purchased goes is proportional to SNR, but the frequency, inversely proportional to amount purchased, we get a power series, the -iLog(i) are matched.

Ultimately, the electrical channel is encoding information until its own sampling error matches the sampling error of the underlying carrier. Like the shoe stor owner in a mall, he can do not better then the normal phase error generated by all the stores in the mall.