No, by definition of economicus humanus, the human, by definition, cannot trade faster than she can throw a rack.
Our trading bots, ultimately have to check in with us periodically, and our response is the time we need to read the red/green light and check the question; then we thumb print, rock throwing time we use the same neural column for both. That is the limit of human transaction time, considered a constant in economics, considered a variable in anthropology.
The digital pit boss can measure human transaction time, but cannot do anything about it; it is distributed in the price variation, it is represented in the human probability of going home or waiting in line; the collapsed axis of symmetry.
I suspect that much of what we do that is considered human is mostly us re-using that same neural column that throws the rock. But the idea of going home or waiting in line then must be about a neural column that can commit a spectrum of neural actions that fits an elliptic curve, which is what throwing a rock is. Or, in other words, going home or waiting is line as about not getting stuck in a way that the household budget cannot use money ratios, pricing won't work.
In other words, just about every model we use just about everywhere at just about every level follows from Weinberg's favorite quantum equation. It must be a requirement of models, in general. Consciousness is about enslaving these neural columns to fake an algebra machine so they can get around in an algebra world. We gained the ability to practice throwing rocks and get better elliptic fits to our neural impulses.
Maximizing entropy is all about minimizing the amount of real transactions needed to simulate a commuter. In other words, the approximation to sqrt(-1), may be the driving force of all, and that should be equivalent to estimation Pi, Euler or Phi. The approximation is what gives the hologram effect, the ability to pretend to be a sphere for all practical purposes (constant uncertainty) , but really dong only part of the work (looking more like a gumball).
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