Application gaps in Physics

Representative open questions

Showing 30 of 46 — 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.

• 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.

• 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.

• 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.

• 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.

• Energy solutions of singular SPDEs on Hilbert spaces with applications to domains with boundary conditions (2026) · doi

  The approximation scheme (ρN) for the multi-component Burgers equation is verified only for domains D ∈ {(0,1), (0,∞)} with homogeneous Dirichlet boundary conditions. Extension to multi-dimensional spatial domains (D ⊂ ℝd, d ≥ 2) and non-homogeneous or mixed boundary conditions requires verification of the convergence rates and trace operator estimates in higher-dimensional settings.

• 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.

• Precision Chemistry for Two-Dimensional Materials (2024) · doi

  Single photon sources in atomically thin 2D materials have been observed, but quantitative optimization of emitter density, wavelength tunability through strain engineering, and integration with van der Waals heterostructures for practical quantum information applications remains incomplete.

• Investigation of the effect of solvent polarity and viscosity on the Stokes shift of chromeno[2,3-b]indoles (2026) · doi

  Large Stokes shift fluorophores are cited for applications in luminescent solar concentrators, biomedical imaging, and organic scintillators, yet the specific optoelectronic performance parameters (photoluminescence quantum yield, brightness, photostability) of chromeno[2,3-b]indoles in these functional device contexts have not been experimentally demonstrated or compared against established benchmarks.

• Extended envelope nonlinear waves in dusty plasma chain (2026) · doi

  The paper focuses on envelope soliton solutions but does not discuss other potential nonlinear structures such as breathers or shock-like solutions arising from the derived NLSE.

• 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).

• Terrestrial matter effects on reactor antineutrino oscillations: constant vs. fluctuated density profiles (2026) · doi

  Density-profile variations constitute a subleading effect with respect to dominant experimental systematics, but remain relevant for future analyses aiming at per-mille precision.

• Magnetotelluric sounding and electromagnetic diagnostics of the magnetosphere and lithosphere: Possibilities of complementarity (2026) · doi

  The mathematical formalism developed within directional analysis could be applied for MTS in the ELF range (e.g., Schumann resonance) or for MTS using artificial signals from mega-antennas, suggesting unexplored methodological applications.

• Indirect Probes of Electroweak Interactions in the Top-Quark Sector: Recent SMEFT Results from CMS (2026) · doi

  Multi-parameter SMEFT fits and global combinations across different processes and phase-space selections require further development to ensure robust portability of results and consistent interpretation.

• 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.

• 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.

• 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.

• Monte Carlo Optimization for Real-Time Magnetic Domain Learning in Magneto-Optical Diffractive Deep Neural Networks (2026) · doi

  With further optimization of the optical architecture, introducing high-speed polarized camera (HSPC) and digital micromirrors device (DMD), faster magnetic dynamic switching and improved detection could accelerate online training to seconds or nanoseconds.

• Collective excited states at small amplitude in neutron elastic scattering at low-energies (2026) · doi

  The MOP generated from nuclear structure model is primarily applicable to double closed shell target nuclei that are well described within the RPA, limiting applicability to other nuclear systems.

• Recent progress in low energy neutrino scattering physics and its implications for the standard and beyond the standard model physics (2024) · doi

  Several BSM extensions including NSIs, neutrino electromagnetic properties (magnetic moment and charge radius), sterile neutrinos, and dark sector physics (vector portal, leptophobic dark matter, ALPs) can be explored at low energy but require further experimental scrutiny.

• Qubits Manipulated on the Fly (2024) · doi

  Conducting simulations of complex quantum many-body physics in and out of equilibrium with large ion crystals (1000 ions) requires further development.

• Dynamic strain-gradient-induced polarization and nonlinear electromechanical coupling in noncentrosymmetric quantum oxide crystals (2026) · doi

  Cross-study comparability is limited by inconsistent reporting of fitting windows, R², and replicate dispersion across the literature, which contradictions driven by analysis choices rather than material differences.

• The future of Higgs boson physics (2026) · doi

  Glass HCAL has very good energy resolution and may be suitable for ECAL if light yield is further improved

• Evolution of topological charge in a triangular interference lattice (2026) · doi

  The paper mentions potential applications in structured-light-based manipulation, optical communication, and information encoding but does not elaborate on specific implementation strategies or experimental demonstrations of these applications.