Grow
One possibility is growth.
Growing or expanding
A ten letter word for the process is metabolism. An 11 letter word is respiration.
cash cash
The word for fitting in with a group is "integrate." It refers to the process of becoming part of a larger whole, adapting to the norms and values of the group. Another term that can be used is "assimilate," which implies adopting the characteristics of the group to blend in more seamlessly.
There is an 8-letter word "becoming." 7-letter words are combine, combing, confine, fencing, and meowing.
magnify enlarge
The 7-letter word meaning to gradually break down is "dissolve." It refers to the process of a substance becoming incorporated into a liquid, leading to a gradual breakdown or disintegration. This term can also metaphorically apply to other gradual changes or reductions.
desensitized
process
Processors with a smaller word size can process more data during each processor cycle.
mummify