Physics
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-4797 Strong Cosmic Censorship for Spherical Einstein–Vlasov Collapse
- Math-4798 Physical Realizability of Quantum Computation
- Math-4799 Casimir-Connection Monodromy and Quantum Weyl Groups
- Math-4800 Large-Scale Mechanisms Driving Atmospheric Monsoons
- Math-4801 Oceanic Mid-Depth Stratification and Overturning Circulation
- Math-4802 Potential Temperature and Potential Vorticity Inversion
- Math-4803 Predictive Thermostated Dynamics and Subgrid Reservoir Modeling
- Math-4804 Nonlinear Coupling of Buoyancy Reversal and Radiation
- Math-4805 Errors in Long Equatorial Wave Models
- Math-4806 Coupling and Learning Strategies for Climate Supermodels
- Math-4807 Strict Positivity for Fourth-Order Quantum Diffusion
- Math-4808 Vanishing and Uniqueness of Quantum Diffusion Solutions
- Math-4809 Bose–Einstein Condensation in Quantum Boltzmann Dynamics
- Math-4810 Boltzmann–Grad Limits for the Lorentz Gas
- Math-4811 Uniqueness in the Boltzmann–Nordheim Condensate Model
- Math-4812 Energy Cost of Density Defects in Fermi Seas
- Math-4813 Momentum-Space Scarring on Irrational Point-Scatterer Tori
- Math-4814 Semiclassical Measures and Exceptional Eigenmodes
- Math-4815 Quantum Variance Conjectures for Matrix Elements
- Math-4816 Many-Body Localization at Positive Density
- Math-4817 Classification of Gapped Ground-State Phases
- Math-4818 $L^2$-Cohomology of Strongly Centered Monopole Moduli Spaces
- Math-4819 Asymptotic Metrics for Higher-Rank Monopoles
- Math-4820 Nonlinear Stability of Subextremal Kerr Black Holes
- Math-4821 Nonaxisymmetric Stability of Extremal Kerr Waves
- Math-4822 Critical Ultrarelativistic Black-Hole Collision Solutions
- Math-4823 Regular Conformal Equations for Matter with Nonzero Trace
- Math-4824 Non-Disappearance of Nonnegative Scalar-Curvature Limits
- Math-4825 Resonant Mode Mixing in Anti-de-Sitter Instability
- Math-4826 Open Problems in Geometric Nonlinear Quantum Dynamics
- Math-4827 Multipartite Quantum Data Hiding with Separable States
- Math-4828 Absolutely Continuous Diffraction and Dynamical Spectra
- Math-4829 Periodic Gibbs Phases in Two Dimensions
- Math-4830 Quasicrystalline Gibbs Phases in Higher Dimensions
- Math-4831 Reflection-Positivity Research Questions
- Math-4832 Construction of K-Matrices for Coideal Subalgebras
- Math-4833 Quantum-Group and Affine-Hecke Solutions of Boundary qKZ Equations
- Math-4834 Analytic Structures for Nonformal Deformation Quantization
- Math-4835 Conformal Field Theory Realizations of Subfactors
- Math-4836 Four-Dimensional Standard-Subspace Nets with Minimal Length
- Math-4837 Bisognano–Wichmann Covariance for Standard-Subspace Nets
- Math-4838 Local Conformal Field Theories from Non-Semisimple Tensor Categories
- Math-4839 Conformal Field Theory Realization of the Asaeda–Haagerup Subfactor
- Math-4840 Weak Verlinde Formula beyond Rational Conformal Field Theory
- Math-4841 Existence of Time-Dependent Bivariational Quantum Dynamics
- Math-4842 Transferring Resonant Blowup to the Full Einstein System
- Math-4843 Local Well-Posedness of Lovelock Equations
- Math-4844 Weak Limits of Discrete Wave-Turbulence Spectra
- Math-4845 Joint Boltzmann–Grad and Long-Time Limits for Lorentz Gases
- Math-4846 Attainment of Constrained Domain-Wall Energies