Genius in the colloquial form means “prodigious”. That is not what I mean.
Genius in intelligence research means “very smart”. Sometimes there is an operational definition, such as Terman’s IQ > 140 on the Stanford-Binet, or Hollingworth’s IQ > 160. But this is only tangentially related to how I use the term.
Genius in world historical terms means the originator of an important idea. This is closer because the best way to have a good idea is to have a lot of ideas.
Paul Cooijmans defines genius as highly creative. This was the inspiration for what I talk about, but it focuses on the effect rather than the cause.
When I talk about “genius” what I mean is that there is a sort of physical brain that, due to purely physical causes, is specialized to engage in as much creative expression as possible.
There are a number of interesting peripheral effects from this phenomenon, such as the ability of a creative person to, on occasion, solve random problems well above what their general intelligence would predict they should be able to solve. If they do this at a high rate on a regular basis, then I would describe this as a symptom of this unique genius neurology.
It may be easiest for you to think of genius as a neurological syndrome that has gotten a lot of good press.