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-4747 Spectral Geometry and Cyclic Homology of $SU_q(2)$
- Math-4748 Scaling Limits of Tensor Products in AQFT
- Math-4749 Heterotic Mirror Symmetry for Bundled Calabi–Yau Manifolds
- Math-4750 Deformations and Massless Spectra of Smooth Deligne–Mumford Stacks
- Math-4751 Infrared Equivalence of Stack Presentations
- Math-4752 Gauge Fixing for Quantum Vertex Algebra Deformations
- Math-4753 Hoop Conjecture for Black-Hole Formation
- Math-4754 Orthotropic Extensions of Anisotropic Creep-Damage Models
- Math-4755 Nonperturbative Infrared Behavior of Nonamenable Sigma Models
- Math-4756 Continuous-Spectrum Analysis of Nelson-Type Models
- Math-4757 Higher-Dimensional Thermodynamic Limits
- Math-4758 Quantum Zeta Functions for Mirror Calabi–Yau Threefolds
- Math-4759 Mechanisms Producing Equatorial Superrotation
- Math-4760 Topographic Rossby Waves and Inertial-Wave Coexistence
- Math-4761 Linear Baroclinic Prediction of Ocean Eddies
- Math-4762 Global Well-Posedness and Uniqueness of Gravity-Capillary Waves
- Math-4763 Density of Current–Current Correlation Measures
- Math-4764 Wang–Ostrik Finiteness Conjecture for Fusion Categories
- Math-4765 Current Criteria for Phase Separation in Driven Systems
- Math-4766 Rigid Order–Disorder Interfaces in Continuous-Spin Models
- Math-4767 Stability of Schwarzschild Black Holes Under Perturbation
- Math-4768 Thermal Conductivity Under Asymmetric Momentum Noise
- Math-4769 Energy Transmission in Strongly Pinned Networks
- Math-4770 Constitutive Models for Oscillatory Micellar Sedimentation
- Math-4771 Massless and Point-Charge Limits of the Pauli–Fierz $g$-Factor
- Math-4772 First-Principles Derivation of Adaptive-Resolution Molecular Dynamics
- Math-4773 Efficient Coarse-Grained Free-Energy Computation
- Math-4774 Nonconvex Gradient Gibbs States and Free Energy
- Math-4775 Critical Transition and Pattern Scales in Shear Turbulence
- Math-4776 Homogeneous Factorizations Producing Type-II Arveson Systems
- Math-4777 E0-Semigroups from Free Product Systems
- Math-4778 Adapted Cocycles and Tensor Subsystems of Free Filtrations
- Math-4779 Recovering Spatial Tensor Systems by Intersection
- Math-4780 Ambient-Algebra Independence of Exchangeable Independence
- Math-4781 Extremal Exchangeability Beyond Natural Noncommutative Products
- Math-4782 Extending Dilated E0-Semigroups Beyond GNS Representations
- Math-4783 Future Restrictions of Inner Automorphic Dilations
- Math-4784 Classification of Spatial and Nonspatial Markov Semigroups
- Math-4785 Multiparameter E0-Semigroups from Free Product Systems
- Math-4786 Group-Valued Lévy Processes with Type-II Arveson Systems
- Math-4787 Efficient Reduced Free-Energy Computation for Atomistic Systems
- Math-4788 Local Approximations of Electronic Spectral Projectors
- Math-4789 Mathematical Classification of Atomic Chemical Groups
- Math-4790 Stability of Atomic Ground-State Quantum Numbers
- Math-4791 Sigma Models with Noncommutative Target Spaces
- Math-4792 Geometric Collapse in the Toroidal Six-Vertex Model
- Math-4793 Rooted-Tree Expansions of Renormalized Two-Point Functions
- Math-4794 Nonlinear Stability of the Full Kerr Family
- Math-4795 Uniqueness of Stationary Black-Hole Exteriors
- Math-4796 Weak Cosmic Censorship for Einstein–Vlasov