I confuse myself on this.
Poisson measure in fixed units of time or space, it assumes flat earth. The error processor or pit boss it a variable sample rate. Things that are a high arrival rate are over sampled to compensate, and rare events undersampled. This is why the Poison queue size becomes a rollover rate counter and appears much slower in the error process then when arriving. This is the Huffman encoding process, also the economy of scale effect also the maximizing entropy effect.
Self sampling systems automatically make the relativity adjustment.
So, I have t remember this, this is a relativity problem, but we can take Poisson queues and find their fixed constant and they become rate counters aligned to the number of steps taking by the coloring process. I take the process for granted and often forget to identify the economies of scale effect in sandbox.
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