I am curious to know if someone from a physics Masters program at a state school (high GPA, excellent research) has the the same chance of admission to Harvard, Princeton, or MIT PhD program vs someone with similar stats from undergraduate. How hard is it to get into top 10 schools from Master's programs? Can the Masters program serve as a kind of clean slate for someone who messed up his/her undergrad physics GPA, and wants to do well in the Masters program to get into a top PhD program? P.S. Please no responses like "it's unlikely you will succeed in the Master's program after you bombed your undergrad." Thanks.