Open problems
Cosmology
1. Why the present value of the cosmological constant is so extremely low?
Formulation of the problem: -
Related posts: Disorder on the landscape, Anderson loclization on the landscape, WMAP 5 year
2. Why did dark energy start to drive the Universe’s expansion only recently?
3. What is dark matter?
4. What is the origin of ultra high energy cosmic rays?
5. How to understand probabilities in eternal inflation?
Field theory
- How to explain confinement of quarks?
- Where are instantons in non-equilibrium QFT?
String theory
- How to rigorously proove AdS/CFT correspondence?
- How to formulate string theory on a time-dependent background?
- How to formulate string theory on dS space? If there a field theory dual to the string theory on dS, what is this dual theory?
Condensed matter
- 3D Ising model
- Fractional quantum Hall efect
Turbulence/hydrodynamics
- Finite-time singularities in 3D Euler equation
- Existence and uniqueness of solutions of the Navier-Stokes equations
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