A power law distribution has two parameters, the power, and the minimum value. I can now map all of the personality traits i have been writing about over the last year or so into these parameters.
Autism - both the power and minimum value are abnormally low.
Autism+ADHD - only the power is low. The result is that average intensity is unusually high.
ADHD - the minimum value is unusually high.
Overclocking - an increase both in minimum level and in power. Thus cognition while overclocked is qualitatively different, one ceases to consider unlikely possibilities. The good news is that this means it is possible to control the power parameter, we are not necessarily doomed to a genetic aristocracy of philosopher-kings.
Prayer/meditation/"going slow" - opposite of overclocking, a decrease both in minimum level and in power. Thus the mind is expanded, and is able to consider unusual possibilities closely. This may also happen near/during sleep, indeed might represent an explanation of what sleep is and why it is necessary (This is testable: compare eye-movement during REM sleep to normal eye movement).
Cat - mild ADHD, the minimum value is above average. Such people therefore tend to make big leaps.
Dog - opposite of cat, the minimum value is below average. Such people are very precise, they can spot flaws a catty person can not.
Opposites attract - a cat and dog working in tandem can perform a more efficient sampling of possibility-space than either alone.
but
Birds of a feather flock together - people with similar power parameter will tend to get on well together, and become friends. People with different power parameter will have difficulty understanding each other.