What are unsolved problems in physics?
There are always things we haven’t figured out yet, but unsolved problems in physics aren’t like unsolved problems in math – we might have mathematical solutions for them, but if we haven’t tested those solutions, then they aren’t considered valid yet. So you can’t really solve them sitting around at home with a pen and paper. The biggest one currently is how to make quantum mechanics and general relativity agree with each other on common scales – they both work very well on their own scales, but not together. String theory can solve this problem, but again, we need to test it – and we will, in the LHC. For more ideas, try asking this again on one of the physics-oriented forms, like physicsforums or advancedphysicsforum.