I just read something that gave me sone insight into how you guys (at the level of Robert, Spud, etc.) do what you do when improvising - thought it might be of interest - here's the relevant excerpt:
"The differences in how babies and adults pay attention are primarily caused by the unformed nature of the prefrontal cortex, a brain area just behind the eyes. While the prefrontal cortex has been greatly enlarged during human evolution - it's responsible for a wide variety of cognitive abilities, from directed attention to abstract thought - it's also the last brain area to fully develop, and often isn't done developing until late adolescence.
Although scientists have long held the lack of a functional prefrontal cortex responsible for all sorts of "childish" behaviors, researchers are beginning to realize that, sometimes, it might actually be better to allow the prefrontal cortex to loosen its grip.
A recent brain scanning experiment by researchers at Johns Hopkins University found that jazz musicians in the midst of improvisation - they were playing a specially designed keyboard in a brain scanner - showed dramatically reduced activity in the prefrontal cortex. It was only by "deactivating" this brain area that the musicians were able to spontaneously invent new melodies. The scientists compare this unwound state of mind with that of dreaming during REM sleep, meditation, and other creative pursuits, such as the composition of poetry. But it also resembles the thought process of a young child, albeit one with musical talent. Baudelaire was right: "Genius is nothing more nor less than childhood recovered at will."
Now, in regards to the association with such ability/thinking and childish behavior, I leave to the more advanced musicians to discuss....

oke: