What's the noun for incubate? Here's the word you're looking for.
incubation
Sitting on eggs for the purpose of hatching young; a brooding on, or keeping warm, to develop the life within, by any process.
(pathology) The development of a disease from its causes, or its period of incubation. (See below.)
(chemistry) A period of little reaction which is followed by more rapid reaction.
(psychology) One of the four proposed stages of creativity (preparation, incubation, illumination, and verification): the unconsciousrecombination of thoughtelements that were stimulated through conscious work at one point in time, resulting in novel ideas at a later point.
Sleeping in a temple or other holy place in order to have oracular dreams.