Top Open Problems
The Top Open Problems editorial order restricted to Physics, with ranks numbered within this field. Unassessed entries retain their previous relative order. About rankings
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- Phys-151 Why gravitational instantons arise from monopoles
- Phys-152 A synchronized heat-kernel construction on eight-dimensional hyperkähler products
- Phys-153 Audible primitive two-torus areas on a flat three-torus
- Phys-154 Centered asymptotics for a Gibbons--Hawking subfamily
- Phys-155 A quantified Gibbons-Hawking N-body cluster model
- Phys-156 The L2-signature of toric hyperkahler quotients
- Phys-157 A smoothness criterion for projective conic compactifications of ALF twistor models
- Phys-158 Topology and character sectors in monopole L2-cohomology
- Phys-159 The signed Hill threshold for binary exchange
- Phys-160 A gauge-invariant action-gap certificate for barbell transit orbits
- Phys-161 The four-body super-eight and the rotating-square obstruction
- Phys-162 Fixed winding numbers: exact pair bounds, graph coercivity, and collision loss
- Phys-163 Homology-only escape and a strict zero-winding choreography gap
- Phys-164 Coercivity and collision boundaries for the Broucke-Henon class (1,0,1)
- Phys-165 Coercivity, collision support, and the identity braid for the class (1,0,-1)
- Phys-166 Syzygy-word parity and the angular-momentum holonomy obstruction
- Phys-167 When constrained minimizers gain symmetry
- Phys-168 Quantitative simplex and dimension bounds for minimum-potential equal-mass configurations
- Phys-169 Circulant mass compatibility and a six-body temporal Fourier obstruction
- Phys-170 Fourier obstructions to unequally phased single-trace motions
- Phys-171 Effective full-isotropy constraints for time-space-label symmetries
- Phys-172 Matrix virial decomposition and a collision-free tensor stress test
- Phys-173 An affine-defect test for Newtonian motions
- Phys-174 The syzygy-free three-body solution and quantitative crossing certificates
- Phys-175 Closure-area limit sets and geometric phase on the shape sphere
- Phys-176 Constant normalized area in the three-body problem
- Phys-177 A logarithmic-volume identity and zero-angular-momentum obstruction
- Phys-178 Zero-total-mass reduction and obstruction to the Euler integral
- Phys-179 Level-orbit potentials: quantifier audit, speed criterion, and transnormal rigidity
- Phys-180 A Jacobi-Maupertuis and McGehee scale-shape dictionary
- Phys-181 Limits of action minimization: collisions, constraints, stability, and fixed energy
- Phys-182 Quantitative collinear finiteness and maximal-dimensional simplex rigidity
- Phys-183 Normal Hessian blocks, an exact four-body index jump, and stability obstructions
- Phys-184 Compatibility and reversible shooting for connections between relative equilibria
- Phys-185 Exact reversible shooting criterion for halo-orbit bifurcation
- Phys-186 A feasibility sieve for negative-energy binary-single direct scattering
- Phys-187 Full-space mass-splitting criterion for prograde relative periodic orbits
- Phys-188 Multipartite Dense-Coding Capacity
- Phys-189 LOCC Dense-Codeability of the Four-Qubit W State
- Phys-190 Facial Structure of Classical and Quantum Correlation Sets
- Phys-191 Connections Between CGLMP Inequalities and Quantum Field Theory
- Phys-192 Positive Maps and Multipartite Bound Entanglement
- Phys-193 Systematic Multiscale Design of Hierarchical Materials
- Phys-194 Relationship Between Two-Species Condensates
- Phys-195 Physical Interpretation of Elliptic Partition Functions
- Phys-196 Physical Regularity Criteria for Massless Scattering Theory
- Phys-197 Bounded Local Observables in Factorizing Quantum Field Theories
- Phys-198 Renormalization through Langmann–Szabo Duality
- Phys-199 Geometric Spin–Statistics under Weakened Assumptions
- Phys-200 Spectral Geometry and Cyclic Homology of $SU_q(2)$