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-2735 A charged enclosing-area bound for weakly asymptotically Euclidean exteriors
- Math-2736 A Bondi enclosing-area inequality for CKS hyperboloidal ends
- Math-2737 Local noninteracting ensemble representation of Coulomb ground densities
- Math-2738 An exponential threshold-repetition bound for arbitrary finite entangled games
- Math-2739 The entropy photon-number inequality for arbitrary finite-mode inputs
- Math-2740 Exact quantum factoring over one fixed finite gate set
- Math-2741 The exact Bloch coefficient for three-dimensional finite-range quantum ferromagnets
- Math-2742 The universal quantum-depletion constant for fixed bounded repulsions
- Math-2743 Polynomial-bond PEPS approximation of every gapped square-grid ground vector
- Math-2744 Thomas–Fermi asymptotics for growing atomic ionization number
- Math-2745 The Bogoliubov momentum law for the dilute hard-sphere ground state
- Math-2746 Condensation in every dilute hard-sphere ground state
- Math-2747 A spherical distribution of the low-temperature total quantum spin
- Math-2748 The area, charge and angular-momentum bound with controlled electromagnetic tails
- Math-2749 The Kerr–Newman area bound without electromagnetic-tail controls
- Math-2750 A Laughlin gap stable under every small bounded scalar perturbation
- Math-2751 A size-independent spectral gap above the spherical Laughlin line
- Math-2752 Every extremizer of the sharp matrix Lieb–Thirring bound
- Math-2753 The sharp one-dimensional finite-matrix Lieb–Thirring inequality
- Math-2754 A uniform bound on excess electrons in full Coulomb molecules
- Math-2755 Generic C1 future inextendibility near rotating subextremal Kerr
- Math-2756 Generic C2 future inextendibility near rotating subextremal Kerr
- Math-2757 Generic weak future inextendibility near a fixed rotating Kerr datum
- Math-2758 The nonmaximal anti-de Sitter enclosing-area inequality
- Math-2759 Conformal stress improvement in the finite-scaling-support operational framework
- Math-2760 The universal radius containing all but m electrons of neutral atoms
- Math-2761 A uniform gap in the periodic spin-one antiferromagnetic chain
- Math-2762 A parity lower bound for bounded-depth quantum circuits with polynomial ancillas
- Math-2763 QAOA reaches the SK ground value when thermodynamic size is taken first
- Math-2764 The Riemannian Penrose bound with minimizing frontiers in every dimension
- Math-2765 Full support of every zero-temperature SK minimizing order parameter
- Math-2766 Original-data rigidity at equality in spacetime Penrose bounds
- Math-2767 Conformal nets and representation equivalence for strongly rational unitary VOAs
- Math-2768 The optimal randomized-versus-quantum query exponent for total Boolean functions
- Math-2769 QMA hardness using only unit-charge nuclei in the continuum
- Math-3851 Quantum unique ergodicity
- Math-4087 Separatrix Splitting under Quasiperiodic Forcing
- Math-4088 Optimal Flux for the Quarter-Filled Band
- Math-4089 Multivariate analysis
- Math-4090 $\beta$-ensembles
- Math-4091 The Toda lattice with random initial data
- Math-4638 Hilbert's 6th Problem: Axiomatization of Physics
- Math-4639 Biological Quantum Field Theory
- Math-4640 Fundamental Laws of Biology
- Math-4641 Symmetries and Action Principles for Biology
- Math-4642 Geometric Langlands and Quantum Physics
- Math-4643 Meaning and Nonexistence of an Exact Three-Dimensional Ising Formula
- Math-4644 One-Dimensional Fermi Gas with Attractive Interaction
- Math-4645 Entropy Production in Nonequilibrium Statistical Mechanics
- Math-4646 Short-Range Spin Glasses