Now you are in the subtree of Physics public knowledge tree. 

Biggest problems in physics - MT

https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_physics

just 10 big problems
2019 - what-the-3-biggest-physics-discoveries-of-the-decade-mean
When condensed-matter physics became king
https://quantumfrontiers.com/2013/10/23/the-10-biggest-breakthroughs-in-physics-over-the-past-25-years-according-to-us/

turbulence (the only deep problem remaining from classical physics!)

quantum measurement paradox

https://en.wikipedia.org/wiki/Dimensionless_physical_constant

  • fine structure constant

hierarchy problem of interactions including gravity

including quantum gravity...

dark energy

dark matter

glass transition

low-T universal glass excitations - not recognized widely!!!

this problem is worth wider attention!

high-temperature supeconductivity

  • Mott state in 3D