Application gaps in Physics

Representative open questions

Showing 30 of 63 — one per source paper, highest-quality first.

• Works for 4/24/2026 - Nicolas of Cusa (2026) · doi

  The tau calibration against a reference clock process (step seven and eight of the proof sketch in L.3) is described only abstractly. Concrete experimental protocols for coupling tau to reference processes in non-trivial domains—such as quantum systems, gravitational collapse, or biological developmental time—have not been developed or tested.

• Stabilizing effect of magnetic field on the compressible magnetohydrodynamic flow with vanishing shear viscosity (2026) · doi

  The stability analysis assumes periodic boundary conditions on the 2D torus T^2; the applicability of the stabilizing effect of the magnetic field to compressible MHD flows on other domains (e.g., bounded domains with non-slip boundaries, exterior domains) or with different boundary condition types remains unexplored.

• Exactly Solvable Schrödinger Operators Related to the Hypergeometric Equation (2026) · doi

  While Section 6 demonstrates that Laplacians with Dirichlet and Neumann boundary conditions on intervals, half-lines, and lines are special cases of hypergeometric Hamiltonians, the paper does not explore mixed or Robin boundary conditions or their corresponding Green function representations in terms of hypergeometric functions.

• Measurement-induced phase transition in interacting bosons from most likely quantum trajectory (2026) · doi

  The most-likely trajectory method was benchmarked only on the Sine-Gordon model with the Self-Consistent Time-Dependent Harmonic Approximation; its applicability to fermionic systems and spin systems remains unexplored, though semiclassical spin systems that can be bosonized are expected to yield promising results.

• Observer effect modulates classification in a quantum epistemic framework (2026) · doi

  The interaction Hamiltonian Hint is formulated with Hermitian conjugate pairs and coupling constants gj, but the paper provides no empirical or theoretical guidance on how to determine or measure these coupling constants in real sensory-observer systems, limiting the practical instantiation of the quantum epistemic classification framework.

• An introduction to the physics of time travel and the mini-standard model of particle physics (2024) · doi

  The paper establishes a conceptual connection between electromagnetic field changes and the creation of trapped surfaces where time and space transform to infinity, but does not provide testable predictions or observational signatures that would distinguish this mechanism from existing relativistic and quantum field theory predictions.

• A novel interpretation of min-max theorem and principle in relativistic quantum chemistry (2021) · doi

  The min-max method creates an upper bound to the ground state energy of one-electron Dirac systems, but extension and validation of this approach to multi-electron relativistic systems (many-electron Dirac-Hartree-Fock calculations) with explicit numerical benchmarks against known exact solutions has not been demonstrated.

• Orthorhombic SrVSi2O7 as a potential magnetic second-order topological insulator with spin-polarized hinge states (2026) · doi

  Device applications utilizing the spin-polarized hinge states in SrVSi2O7 have not been proposed or modeled; feasibility studies for topological field-effect transistors, spin-current devices, or quantum anomalous Hall circuits based on this material are lacking.

• Describing the wave function collapse process with a state-dependent Hamiltonian (2026) · doi

  The energy resources required for measurement dynamics are quantified through ΔH(t) when the readout rt deviates significantly from mean position xt, but the practical implications and constraints this places on measurement precision and speed limits are not systematically analyzed.

• Two- and three-beam photothermal vs. conventional stimulated Raman scattering (2026) · doi

  The paper identifies that the additional probe beam in 3-beam PT-SRS offers potential advantages for signal-to-noise separation and improved spatial resolution via short-wavelength probing for smaller focal spot sizes, but these advantages were not experimentally quantified or compared against the superior SNR performance of 2-beam PT-SRS in this work.

• Large deviations in Coulomb gases: A mathematical perspective (2026) · doi

  The relationship between the R-transform R_μ and the blue function from physics is mentioned but the large deviations implications of this connection for understanding Coulomb gas behavior in the free probability framework (e.g., computing μ_S = μ_a ⊞ μ_b exactly for non-standard spectral measures) remain unexplored.

• Quantum and reality (2026) · doi

  The paper identifies that topological quantum effects for topological quantum computing require formalization through higher homotopy theory and higher structures in LHoTT, but provides no explicit construction or validation of su(2)-anyonic quantum ground states using the proposed framework beyond citing their appearance in twisted/equivariant cohomology of configuration spaces.

• Fractional paradigms in quantum chemistry (2021) · doi

  To date, no computational study has applied variable-order fractional calculus to the electron correlation problem in many-body quantum systems. Development of variable-order fractional Schrödinger equations with α(t) or α(t,τ) dependence for describing dynamically evolving nonlocal electron correlation effects requires both theoretical formulation and numerical implementation.

• Dark photon dark matter constraints at the Taiwan Axion Search Experiment with Haloscope (2026) · doi

  The paper presents conversion factor calculations only for discrete frequency scans at 25° latitude with integration times of a few hours, and notes that longer time intervals between scans create conversion factor peaks (e.g., at 4.787 GHz). The effect of varying observation latitude, different integration time distributions, and seasonal variations in dark matter halo velocity dispersion on dark photon sensitivity has not been explored.

• Stellar modeling within regularized 4D Einstein-Gauss-Bonnet gravity in light of current astrophysical constraints (2026) · doi

  The dust collapse solutions in 4D Einstein-Gauss-Bonnet gravity have been derived theoretically, but their observational signatures in compact object formation—particularly the relationship between collapse dynamics and final stellar equation-of-state parameters—have not been connected to NICER/XMM-Newton pulsar radius measurements.

• Derivation of the Strong Interaction Scenario in the Electromagnetic Framework of Bridge Theory (2026) · doi

  The model's application to hadrons beyond the proton and neutron (e.g., mesons, hyperons, exotic hadrons) is not developed; the assembly method requires validation across different quark flavor combinations and configurations to establish the generalizability of the Bridge Theory electromagnetic framework.

• Bohmian Trajectories Within Hilbert Space Based Quantum Mechanics. Solution of the Measurement Problem (2026) · doi

  The extension of the spin-based be-able analysis presented for spin 1/2 particles under a general direction magnetic field in Stern-Gerlach experiments needs to be explicitly worked out, as the current treatment only addresses the case where the magnetic field is aligned along the z-direction (B = Be₃).

• Mapping of fermionic lattice models for Ising solvers (2026) · doi

  The paper does not explore how the mapping construction and resource overhead scale for three-dimensional fermionic lattice Hamiltonians or higher-dimensional lattice structures beyond the two-dimensional examples provided. Extension of the robustness characterization to fermionic models on cubic or more complex lattice topologies is unaddressed.

• M-dissipative generalized impedance boundary conditions, discrete spectra, and pointwise multipliers between fractional Sobolev spaces (2026) · doi

  While the paper discusses multiple interpretations of impedance boundary conditions for Maxwell systems (referencing [26, 34, 14]), no explicit extension of the acoustic operator results to Maxwell systems with generalized impedance boundary conditions and discrete spectra is developed, leaving the relationship between DtN and NtD formulations in the Maxwell context unresolved.

• Cups and Gates I: Cohomology Invariants and Logical Quantum Operations (2026) · doi

  Section 6 claims that the copy-cup gate construction can achieve gates at any desired Clifford hierarchy level and provides 'several quantum code families with different asymptotic parameters,' but the paper does not provide explicit asymptotic parameter values (code rate, distance, overhead) for these families or compare their fault-tolerance thresholds against existing code constructions.

• Dynamics of Two-Body Systems (2026) · doi

  The formulation of D_ij(q) in equations (12)-(16) is restricted to the long-wavelength limit and specific Brillouin zone sampling. Extension to higher-order Brillouin zones and application to systems exhibiting phonon softening or structural instabilities has not been investigated for two-body central interactions.

• Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity (2026) · doi

  The connection between rational orbits and quasi-periodic oscillation resonances observed in accretion disks around black holes has been established in several gravity theories, but this relationship has not been explored specifically for periodic orbits in EFT extensions of general relativity. Mapping the correspondence between stable periodic orbits in EFT spacetimes and observed QPO frequencies would provide a testable bridge between orbital mechanics and high-energy astrophysics.

• Ballistic electron transport described by a generalized Schrödinger equation (2026) · doi

  The paper focuses on room temperature (300 K) simulations with a fixed chemical potential; extension to other temperatures and varying doping levels is not addressed.

• Neutrino oscillation in dark matter with L μ − L τ (2026) · doi

  Neutrino oscillation may decouple for an ultra-large Aχ, and it is unlikely to get a large Aχ except for a super high energy neutrino beam given typical DM densities on Earth (~0.4 GeV/cm³).

• Relativistic 56Ni decay lines in GRB 221009A (2026) · doi

  Future detectors such as Hyper-Kamiokande and DUNE are expected to improve MeV neutrino sensitivity to transient neutrino fluences, under which similar GRB neutrino emission might become detectable.

• How well can the Mann model describe typhoon turbulence? (2026) · doi

  Non-stationarity in the eye and rainbands makes it difficult to apply the Mann model to these regions, and stationary turbulence models are not designed to represent the non-stationary nature of tropical cyclones at timescales of 10 min and longer.

• Ultrathin Quarter-Waveplates Based on Two-Dimensional Anisotropic NbOCl2 (2026) · doi

  The paper references work on polarization-dependent optical properties of 2D materials but does not fully explore how NbOCl2 compares to other anisotropic 2D materials in practical waveplate applications.

• Improving the Spectral Efficiency of Multiuser Multiple Antenna Millimeter Wave System Using Enhanced Kalman-Based Hybrid Precoder (2026) · doi

  The paper does not address the robustness of the enhanced Kalman scheme under imperfect channel state information (CSI), which is critical for practical implementations.

• Electronic properties and thermoelectric performance of 2D ZnSe and its haeckelite phases by first-principles approach and Boltzmann transport theory (2026) · doi

  At low temperatures of 100 K, the pristine 2D ZnSe and compressed phase do not conduct and do not support thermoelectric applications, limiting their practical use at cryogenic temperatures.

• Energy deposition by galactic cosmic rays and implications for ozone chemistry (2026) · doi

  The HOx-driven ozone perturbation at 17.5 km is estimated as a local effect, but full transport modeling is needed to determine if and how meridional circulation affects the latitude-dependent forcing.