9:40 AM PT -- Larry Nassar is going to spend the rest of his life rotting in a jail cell.
The judge in Nassar's sexual assault case says she just signed his "death warrant" ... sentencing him to 175 years in prison.
Before the judge sentenced the disgraced ex-Team USA doc, Nassar gave a statement to his victims.
"Your words these past several days -- your words have had a significant emotional effect on myself and has shaken me to my core."
"I also recognize that what I'm feeling pales in comparison to the pain and trauma and emotional destruction you are all feeling.