GEWU Magazine

No Particle Production4 questions

No-particle-production classification for supersymmetric two-dimensional theories with multiple superfields or extended supersymmetry
Completing the classification of two-dimensional Lagrangians with no tree-level particle production: multi-field seeds, non-Toda solutions, and quantum persistence
Integrable structure of the Drinfeld-twisted Landau-Lifshitz models: Lax pair, multi-particle S-matrix factorization, and the quantum boost operator
Loop-level viability and general extension of the omega-regulated massless S-matrix for integrable sigma-models

Infinite Product Expressions2 questions

Infinite Lattice Limit2 questions

Infinitely many conserved quantities1 questions

All-or-nothing dichotomy of local conserved quantities in Hermitian spin chains beyond the parity-symmetric spin-1/2 nearest-neighbor class

Disordered Critical Phase1 questions

Full disorder-averaged negativity spectrum of the partial transpose in the random singlet phase
Open for about 6 years

Does a Pentaquark State Exist?4 questions

Interactions between rotating matter and gravitational fields4 questions

Kinetic Studies of Cellular Regulation and Signaling Pathways10 questions

Organization Mechanisms of the Cytoskeleton7 questions

Realizing the Standard Model in string theory10 questions

Quantitative Study of Cosmic String Production in String Theory6 questions

Initial Condition Problem in String Cosmology7 questions

Unresolved Problems in Modern Electron Microscopy2 questions

Line Conservation4 questions

Can pp and ph Interactions be Unified in Relativistic Nuclear Many-Body Problems?4 questions

Relativistic Quantum Information3 questions

What New Physics Arises from Introducing Exchange Terms in Relativistic Mean-Field Theory?7 questions

Quadrant Partition Function4 questions

Physical Limits of Information Processing and Quantum Thermodynamics9 questions

Star–Triangle Transformation3 questions

Formation and Evolution of Galaxies6 questions

Formation and Evolution of Galactic Core Black Holes5 questions

Determinant Representation2 questions

Row-to-Row Transfer Matrix2 questions

Halo Phenomena in Deformed Nuclei7 questions

Searching for Glueballs4 questions

Scanning Probe Acoustic Microscopy of Subsurface Imaging4 questions

Unitarity and Crossing Symmetry4 questions

General Hard-Square Unsolved Problems2 questions

General Ising Model3 questions

A Holographic Theory of a Universe10 questions

One-Dimensional Ising Correlation Functions2 questions

One-Dimensional Ising Model1 questions

Uniqueness versus multiplicity of low-temperature Gibbs states for the one-dimensional long-range Ising ferromagnet under structured external fields
Open for about 19 years

One-Dimensional Ising Free Energy and Magnetization2 questions

Exact Solution of One-Dimensional Quantum Spin Chain Systems with Arbitrary Boundary Fields3 questions

One-Dimensional Configuration Sums3 questions

No-particle-production classification for supersymmetric two-dimensional theories with multiple superfields or extended supersymmetry

Completing the classification of two-dimensional Lagrangians with no tree-level particle production: multi-field seeds, non-Toda solutions, and quantum persistence

Integrable structure of the Drinfeld-twisted Landau-Lifshitz models: Lax pair, multi-particle S-matrix factorization, and the quantum boost operator

Loop-level viability and general extension of the omega-regulated massless S-matrix for integrable sigma-models

Rigorous analytic structure of the double-scaled SYK partition function: high-temperature coefficient asymptotics, zeros of Z(it), and the infinite-product representation

Closed product representation of the residual determinant of the square-lattice Ising model on the open L×M rectangle

Exact solution of the Mangazeev-Bazhanov-Sergeev integrable 3D lattice model: convergence of the partition function, transfer-matrix spectrum, and rank-size duality

Infinite-volume mean-field and large-mass limits of interacting Bose gases beyond the cluster-expansion regime

All-or-nothing dichotomy of local conserved quantities in Hermitian spin chains beyond the parity-symmetric spin-1/2 nearest-neighbor class

Full disorder-averaged negativity spectrum of the partial transpose in the random singlet phase

Existence and spectrum of fully-heavy pentaquarks QQQQQˉQQQQ\bar{Q}QQQQQˉ​: a rigorous five-body determination of stable bound states

Unambiguous spin–parity and structure assignment for the strange hidden-charm pentaquark candidates Pcs(4338)P_{cs}(4338)Pcs​(4338) and Pcs(4459)P_{cs}(4459)Pcs​(4459)

Two-body strong decays and experimental search channels of the predicted compact isovector hidden-charm-singly-strange pentaquark states Pcs+(uusccˉ)P_{cs}^{+}(uusc\bar{c})Pcs+​(uusccˉ)

Existence of narrow light pentaquark baryons: the S=+1S=+1S=+1 Θ+(1540)\Theta^+(1540)Θ+(1540) and the S=−2S=-2S=−2 exotic candidates

Frame dragging by rotating matter shells and gravitational-wave pulses beyond perturbation theory: the domain of validity of ω=2Lz/R3\omega = 2L_z/R^3ω=2Lz​/R3

Rotating thin shells in (2+1)-dimensional asymptotically AdS spacetimes: the overspinning regime and admissible matter models

Gravitational field of the spinning Q-lump cosmic string beyond the weak-field, winding-N=2 approximation

The causal-mass criterion for perfect cosmic inertial dragging: proving, disproving, or quantifying the Braeck–Grøn–Farup conjecture in general relativity

Quantitative reconstruction of the Waddington cell-fate landscape and attractor dynamics of gene regulatory networks from empirical high-dimensional expression data

Quantitative mechanistic origin of variability in the p53-Mdm2 oscillatory DNA-damage response, and of its delay-period-damping relationship

Information-thermodynamic bounds on biochemical signal transduction beyond the linear-Gaussian model: nonlinear and time-delayed feedback networks, backward transfer entropy, and experimental verification

Molecular mechanism of BMP time-integration by SOX2 in human pluripotent stem cells

Quantitative encoding of TCR signal dynamics in the temporal structure of transcription in vivo: affinity-to-transcription mapping, tonic signal mechanisms, and the time-frequency mathematics of the Tocky system

Open problem: the mechanistic and functional basis of intermittent FGF4/ERK oscillations in mouse embryonic stem cells

Mechanisms of RTK-level antagonistic control and dynamic decoding of pulsatile Erk signaling in epithelial proliferative control

Causal status and context dependence of the time-integrator relationship between ERK/Akt activity dynamics and stochastic cell division

Mechanistic basis of spatiotemporally defined RAS–ERK signals dictating cell fate in MCF-7 mammary epithelial cells: control of sustained ERK phosphorylation and compartmental sufficiency for differentiation

Quantitative mapping of β-catenin signal dynamics to proliferation, Gadd45γ-dependent arrest, and apoptosis in differentiating neural stem cells

Molecular motors and the extensile-contractile force balance governing bipolar versus multipolar spindle self-organization in Xenopus egg extracts

Quantitative mechanical mapping from actin-network architecture to microtubule plus-end dynamics and spindle assembly

Molecular-scale origins of the coarse-grained active liquid crystal description of the human mitotic spindle

Quantitative physical account of actin-mediated registry of non-muscle myosin II filament stacks

Molecular basis and functional consequences of vimentin association with the actomyosin cortex in mitosis

Molecular and physical mechanism of Eg5-organized antiparallel microtubule bundling in the human metaphase spindle

Robustness of growth-induced kinetic trapping in cytoskeletal filament networks to nucleation, motors, turnover, and filament type

Completing the heterotic Z6\mathbb{Z}_6Z6​-II orbifold MSSM: all-orders supersymmetric vacua and full phenomenological viability of the Buchmüller–Hamaguchi–Lebedev–Ratz model

Dynamical completion of the Z4RZ_{4R}Z4R​ R-parity construction from Z12−IZ_{12-I}Z12−I​ orbifold compactification of the SO(32) heterotic string

String-loop completion of the minimal Z3\mathbb{Z}_3Z3​ orbifold Pati–Salam quiver: anomaly-canceling terms, Fayet–Iliopoulos coefficients, and the symmetry-breaking scales

Physical Yukawa couplings in heterotic Calabi–Yau compactifications: singular loci, non-standard-embedding bundles, and multi-parameter moduli

Local-to-global completion of the intersecting D-brane Standard Model with a bulk leptonic U(1)U(1)U(1)

Standard-like heterotic-string vacuum with a low-scale anomaly-free Z′: explicit x-sector construction and low-energy validation

Completing the small Dirac neutrino mass mechanism of Casas–Ibáñez–Marchesano in a globally consistent type IIA orientifold

Completing the D3-brane Standard Model: compact Calabi-Yau embedding, moduli stabilization, and realistic soft supersymmetry breaking for the del Pezzo construction

Perturbative vacuum stability and dilaton stabilization of the three-generation standard-like model from the tachyonic ten-dimensional heterotic-string vacuum

Explicit slope-stable hidden-sector bundle with vanishing five-brane class for the minimal heterotic standard model

Open questions for small-tension cosmic strings from D3 branes wrapped on deformed singularities: cosmological production, world-sheet theory, and observational distinguishability

First-principles microphysical and multi-scale dynamics inputs for firm quantitative constraints on scaling cosmic superstring networks

The loop-formation size distribution and modelling systematics of the cosmic-superstring stochastic gravitational-wave background

Self-consistent dynamics and radiation of axion-emitting cosmic superstring networks

Reliable gravitational production rate of perturbative string states at the end of inflation and during reheating

Uncertainty-controlled Kaluza-Klein emission constraints on cosmic superstrings: loop-population inputs, KK-mode lifetimes, and compactifications beyond the Klebanov-Strassler throat

Nonperturbative holographic dual of the two-dimensional string cosmology (c=1 Liouville times c=25 Liouville worldsheet)

Global viability of extended pre-big-bang cosmology as the source of the nanohertz gravitational-wave background

Decisive multi-band gravitational-wave test of pre-big-bang string cosmology: breaking the (beta, z_s, z_d, z_sigma) degeneracy and bounding the dilaton-growth exponent

Covariant embedding and string-theory origin of all-order α′\alpha'α′ O(d,d)-invariant bouncing string cosmologies, and their primordial perturbations

Experimental test of pre-big bang cosmology through its relic gravitational-wave background: multi-band confirmation or exclusion of the string parameter space

Non-singular string cosmology from all-order α′ corrections: first-principles foundations and physical viability

Completing the finite-matter alternative string-landscape cosmology: Einstein-equation consistency with nonzero pressure, observational constraints on the inhomogeneity scale, and the big-crunch and light-trapping fate

Reliable in-situ nanorobotic manipulation, probing, and integrated measurement and fabrication of nanostructures inside the scanning electron microscope

Deterministic atom-by-atom fabrication with the electron beam of an aberration-corrected scanning transmission electron microscope

Matrix product ansatz for the eight-vertex model and the XYZ spin chain

Exact spectrum of the dilute oriented loop model: general branching rules into dense SU(n+1) modules and mixed-parity scaling dimensions

Limit shapes and metastability in the bounded 15-vertex model with non-domain-wall boundary conditions

Yang-Baxter algebra of the n-state mixed vertex model with the line-conservation constraint on the square lattice

Consistent pairing channel and retardation effects in relativistic Hartree-Fock-Bogoliubov theory with density-dependent meson-nucleon couplings

Coupled self-consistent treatment of induced-interaction vertex corrections and self-energy effects in the proton 1S0^1S_01S0​ pairing gap of neutron-star matter

Quantitative microscopic consistency of the 1S0^1S_01S0​ pairing gap in finite nuclei from chiral pion-nucleon dynamics: medium-polarization (induced-interaction) corrections, particle-hole/particle-particle effective-mass consistency, and missing collective correlations

Consistent many-body calculation of the 1S0{}^{1}S_{0}1S0​ pairing gap and superfluid transition temperature of neutron matter: screening beyond the Landau approximation, induced three-neutron forces, and self-energy effects

Constructing the spacetime-local update maps ΨS\Psi_SΨS​ of the polyperspective formalism for concrete physical systems (detectors, quantum fields, curved spacetimes)

Energy accounting of relativistic quantum communication: generality of the vanishing communication-specific energy cost and the particle-creation contribution in dynamical spacetimes

Resource costs of unconstrained summoning: efficient protocols, lower bounds, and the quantum-versus-classical token comparison

The fourth-order symmetry energy S4(ρ)S_4(\rho)S4​(ρ) of neutron-rich nuclear matter: exchange-channel structure across covariant density functionals, kinetic short-range-correlation content, and neutron-star crust consequences

Microscopic magnitude and density dependence of the in-medium screened pion tensor force in relativistic Hartree-Fock energy functionals

Charge symmetry breaking from ω\omegaω-ρ0\rho^0ρ0 mixing in covariant density functional theory: exchange terms, density dependence, EDF mapping, and the hypernuclear extension

Completing deformed relativistic Hartree-Fock-Bogoliubov theory: tensor couplings in shell evolution and beyond-mean-field correlations with explicit Fock terms

Unquantified meson retardation and rho-tensor correlations in relativistic Hartree-Fock compact-star matter, and their joint treatment with hyperon/Delta exchange contributions to the equation of state, maximum masses, and direct-Urca thresholds

Self-consistent tensor-force constraints in the relativistic Hartree-Fock theory: RHF + particle-vibration coupling and the global strength of the pion-exchange tensor

Determining the isovector-scalar channel of the relativistic spin-orbit interaction from single-particle data

Three-dimensional integrability for the multispecies ASEP: a tetrahedron-equation route to the Zamolodchikov–Faddeev algebra and the Macdonald connection

Orthogonality of the dual symmetric functions of the half-space six-vertex model (Conjecture 5.5 of Garbali–de Gier–Mead–Wheeler)

Existence and spectrum of fully-heavy pentaquarks $QQQQ\bar{Q}$ : a rigorous five-body determination of stable bound states

Unambiguous spin–parity and structure assignment for the strange hidden-charm pentaquark candidates $P_{cs}(4338)$ and $P_{cs}(4459)$

Two-body strong decays and experimental search channels of the predicted compact isovector hidden-charm-singly-strange pentaquark states $P_{cs}^{+}(uusc\bar{c})$

Existence of narrow light pentaquark baryons: the $S=+1$ $\Theta^+(1540)$ and the $S=-2$ exotic candidates

Frame dragging by rotating matter shells and gravitational-wave pulses beyond perturbation theory: the domain of validity of $\omega = 2L_z/R^3$

Completing the heterotic $\mathbb{Z}_6$ -II orbifold MSSM: all-orders supersymmetric vacua and full phenomenological viability of the Buchmüller–Hamaguchi–Lebedev–Ratz model

Dynamical completion of the $Z_{4R}$ R-parity construction from $Z_{12-I}$ orbifold compactification of the SO(32) heterotic string

String-loop completion of the minimal $\mathbb{Z}_3$ orbifold Pati–Salam quiver: anomaly-canceling terms, Fayet–Iliopoulos coefficients, and the symmetry-breaking scales

Local-to-global completion of the intersecting D-brane Standard Model with a bulk leptonic $U(1)$

Covariant embedding and string-theory origin of all-order $\alpha'$ O(d,d)-invariant bouncing string cosmologies, and their primordial perturbations

Coupled self-consistent treatment of induced-interaction vertex corrections and self-energy effects in the proton $^1S_0$ pairing gap of neutron-star matter

Quantitative microscopic consistency of the $^1S_0$ pairing gap in finite nuclei from chiral pion-nucleon dynamics: medium-polarization (induced-interaction) corrections, particle-hole/particle-particle effective-mass consistency, and missing collective correlations

Consistent many-body calculation of the ${}^{1}S_{0}$ pairing gap and superfluid transition temperature of neutron matter: screening beyond the Landau approximation, induced three-neutron forces, and self-energy effects

Constructing the spacetime-local update maps $\Psi_S$ of the polyperspective formalism for concrete physical systems (detectors, quantum fields, curved spacetimes)

The fourth-order symmetry energy $S_4(\rho)$ of neutron-rich nuclear matter: exchange-channel structure across covariant density functionals, kinetic short-range-correlation content, and neutron-star crust consequences

Charge symmetry breaking from $\omega$ - $\rho^0$ mixing in covariant density functional theory: exchange terms, density dependence, EDF mapping, and the hypernuclear extension

The physical origin of stellar bars at redshifts $z > 2$ : formation conditions and reproduction in cosmological simulations

Intrinsic evolution of the $M_{\rm BH}$ – $\sigma_\ast$ relation at intermediate redshift, or a non-evolving $M_{\rm BH}$ – $M_\ast$ coupling: which host property fundamentally couples to supermassive black hole mass?

Formation and early growth of the first massive black holes: the $z=8.50$ UNCOVER broad-line AGN and the faint red AGN population at $z>7$

Constructing the full next-to-leading-order Hamiltonian of the short-range effective theory for single-neutron halo nuclei with a deformed core ( $^{11}$ Be and $^{17}$ C)

Nuclear magnetism in weakly bound deformed nuclei: robustness of the time-odd unbound-to-bound mechanism in $^{31}$ Ne and its global consequences for exotic nuclei

Experimental test of the predicted triaxial one-neutron $p$ -wave halos in $^{40,42}$ Al from reaction observables

Threshold soft $E1$ strength of the deformed halo nuclei $^{31}$ Ne and $^{37}$ Mg: experimental extraction and microscopic continuum theory for configuration and deformation assignment

Establishing the deformation-driven two-neutron halo mechanism at the fluorine neutron drip line: $^{29}$ F and $^{31}$ F

Do deformation-enabled neutron halos exist in nuclei heavier than $^{37}$ Mg? The near- $N=50$ candidates $^{71,73,75}$ Cr and $^{77}$ Fe, and the lighter candidate $^{53}$ Ar

Glueball–flavour-singlet-meson mixing in $N_f=1$ QCD

The composition of the scalar mesons near 1.7 GeV: are $a_0(1710)$ and $f_0(1710)$ conventional quark–antiquark states, and does $f_0(1710)$ contain the lightest glueball?

Crossing-symmetric dual S-matrix bootstrap and analytic cross-section bounds in $d>2$ : can manifestly crossing-symmetric dispersion relations yield rigorous (possibly stronger-than-Froissart) bounds?

Crossing symmetry and entanglement beyond massive $2\to2$ $SU(N)$ scattering: gapless theories, higher-point amplitudes, unequal internal spaces, and further quantum resources

Completing the high-activity rod expansion of the hard-square lattice gas: the exact $O(z^{-2})$ three-rod term, convergence control, and the three-dimensional hard-cube extension

Determining the asymptotic relaxation and mixing times of the worm process for the Ising model on critical boxes in $\mathbb{Z}^3$