Self-teaching theoretical physics

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venono
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I'm interested to get people's opinions on how plausible this is. My goal is to learn physics to the point that I can read and understand the latest works and potentially even contribute something small.

My background: I have a bachelors and masters in computer science from a top-3 school and have a fairly good grasp and intuition for linear algebra, statistics, some topology and geometry (I did do a fair bit of artificial intelligence and computer graphics)... but not very good at formal proof based mathematics.

What approach would you recommend and how long do you think it will take?
 
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