Exactly, time itself runs slower in comparison for the accelerated observer, and with it all physical and biological processes. If your time runs slower, you don't notice a difference by yourself bc there is nothing to compare it to, only when you meet with another observer twice and compare clocks do you notice a discrepancy.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition