I'm pretty sure that cells contain genes inside them.
More negatively charge than the outside.
Scientists have concluded that the average human body contains approx. 37.2 trillion cells. However it depends upon your size compared an average human being. :)<span />
When you cut up the carrot you increase the surface area of the carrot substantially. This increased surface area reacts with the atmosphere and makes the carrot (collectively the pieces) more exposed to bacteria and as a result the cut up carrots will go bad before the carrots as a whole.
Aldosterone from the adrenal gland is the answer