I have my degree in applied math( mostly diff eqs and prob theory) Mostly A's. I have done graduate work in statistics with a mixture of A's and B's. So my math background isn't lacking. However, I've only done two courses in physics. Intro mechanics and E&M both with A's. At this point, how long would it take to self learn physics to a high enough of a level to get into a PhD program in physics. I've already started on classical mechanics by Goldstein and it seems to be doable. but I'm learning it at a slow pace. E&M by Griffins, I am picking up on faster. I've noticed on the GRE physics, for the topics that I do know, it's really easy. For example, I see a incline plane problem, yet it's much simpler than the incline plane problems I've done before, which are in accelerating elevators. So basically I can do 3 star problems from a text like Giancoli. So given say a year and a half, can I learn all that is needed to start studying a PhD? Now my problem is that I don't know how to get letters of recs. Virtually no physics professors.