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Is there any scientific evidence to support the idea that you only have so much cognitive energy in a given day; and if so, would the mental abilities of someone who focuses on as little as possible all day be greater than someone who stays engaged all day long? Can the brain experience fatigue?

In Mihaly Csikszentmihalyi's book Flow: The Psychology of Optimal Experience (1990), he says:

At this point in our scientific knowledge we are on the verge of being able to estimate how much information the central nervous system is capable of processing. It seems we can manage at most seven bits of information - such as differentiated sounds, or visual stimuli, or recognizable nuances of emotion of thought - at any one time, and that the shortest time it takes to discriminate between one set of bits and another is about 1/18 of a second.

He goes on to infer that "psychic energy" should be invested and shouldn't be wasted. At least, this was my interpretation.

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