Methodology gaps in Physics

Representative open questions

Showing 30 of 183 — one per source paper, highest-quality first.

• ANATAR: AN Automated Tool for higher-order Amplitude geneRation (2026) · doi

  The FeynRules interface for ANATAR model generation currently only supports BSM extensions that preserve the Standard Model gauge group structure. Extension of the WriteFFO[] command to handle models with non-SM gauge groups, such as left-right symmetric models or grand unified theories, requires development of additional gauge symmetry handling routines.

• Efficient post-selection for general quantum LDPC Codes (2026) · doi

  The sliding-window decoding framework parameters (window size W and commit size F) are not systematically optimized across different quantum LDPC codes. The paper applies fixed parameters without exploring how varying W and F affects decoding performance for surface codes, BB codes, and HGP codes with different code distances and syndrome extraction depths.

• Corpus | Unified Metaphysical Architecture of the Informational Omniverse (2026) · doi

  The Holofractal Analogy comparing the Omniverse to a 'Networked Video Game' with Back End and Front End processing units lacks formalization of how information exchange between these dual processing units would be empirically measured or distinguished from classical observer-dependent quantum mechanics in specific experimental conditions.

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

  The bounds on nonlinear terms like H · ∇H and H∇H in Sobolev spaces H^{[N/2]+3} are established using Banach algebra properties, but the paper does not provide explicit constants C or investigate their dependence on the magnetic field topology, domain geometry (T^2), or the ratio of magnetic pressure to kinetic energy.

• Companion II: Lane A Sharp-Local Construction (2026) · doi

  Proposition C.13 assumes uniform coefficient bounds with V(r,·) ≤ V₀ + V₁r^(-1/2) on the entire lattice aZ⁴; the applicability of the bounded-regime analysis to spatially inhomogeneous or non-uniformly bounded coefficient fields, particularly those with faster decay rates or localized singularities, is not investigated.

• Modeling the TMD shape function in J/ψ electroproduction (2026) · doi

  The paper achieves NNLL′ resummation with NLO hard function but does not address matching between fixed-order and TMD calculations for the complete cross-section description. A detailed matching procedure between the fixed-order collinear NRQCD results and TMD resummed predictions across different kinematic regions must be explicitly implemented.

• [k-Foam Theory v21: An Approach to a Geometric "Theory of Everything" ] (2026) · doi

  The paper asserts that photons are k=2 open loops undergoing cosine projection at filters, yet lacks detailed mathematical specifications for how the orientation and closure state of k=2 loops should be empirically measured in existing Bell test experiments beyond the Mozi satellite configuration.

• Optical model for deuteron-induced elastic scattering on light nuclei from 3He to 16O (2026) · doi

  Global optical model potentials with fixed mass and energy dependent parameterizations fail to capture nucleus-specific reaction mechanisms such as deuteron breakup, transfer, and cluster effects in lithium-, beryllium-, and boron-isotopes. Future work should develop explicit channel coupling treatments that quantitatively account for these inelastic processes in light nuclei optical-model analysis across the 3He to 16O range.

• Donor-length engineering in directly linked covalent heptazine frameworks for photocatalytic H2O2 Production (2026) · doi

  The quantitative measurement of superoxide radical (·O2−) using NBT scavenger at 259 nm absorbance was conducted only under 300 mW cm−2 light intensity for 300 min; the relationship between photon flux intensity and ·O2− generation rate on donor-length engineered heptazine frameworks across different wavelength ranges (420-600 nm) remains unexplored.

• Pure Time Theory - Application I - From Pure Time to Lived Time - Fundamental chemistry, the living and heritability under axial transport (2026) · doi

  Section 6.11 proposes that instinct emerges from validated repetition under flux and progressive crystallization of least-maintenance-cost paths, but the mechanism by which reconstruction sequences become 'fixed' into reproducible response patterns in pre-neural systems is not formalized. The quantitative relationship between flux perturbations, viability corridor width, and the rate of instinctual fixation requires mathematical specification.

• Prompt gamma rays from the inelastic scattering of fission neutrons on samarium and dysprosium (2026) · doi

  The correction procedures for (n,γ) neutron capture interferences in dysprosium gamma-ray measurements remain incomplete and inaccurate. The residual distribution shift from 0.82 ± 0.05 to 1.16 ± 0.10 after corrections indicates systematic errors in the interference accounting methodology that require refinement of the correction algorithm for inelastic scattering measurements on dysprosium isotopes.

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

  Section 7 outlines separation of variables for pseudo-Laplacians on pseudo-spheres but does not provide explicit computations for the general d-dimensional case beyond illustrative examples; the conditions under which hypergeometric Hamiltonians arise from arbitrary (pseudo-)Riemannian manifolds remain uncharacterized.

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

  The extension of the most-likely trajectory approach to alternative measurement procedures and different unravelings of Lindblad dynamics—specifically no-click monitoring and partial monitoring schemes—has not been developed, requiring generalization beyond the position measurement framework currently employed.

• Niels Bohr’s Psychological Analogies and Quantum Measurement (2026) · doi

  Bohr's assertion that subjectivity in quantum physics arises from the physicist's choice among mutually exclusive experimental conditions requires detailed formalization of how this experimental choice mechanism differs quantitatively and qualitatively from the experimental choice in classical physics, beyond the qualitative distinction about apparatus-object interaction.

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

  The framework assumes a simple diagonal form of stationary sensory information and independent two-state harmonic oscillators for observer features, but non-diagonal density matrices for time-varying observer states are only mentioned theoretically without explicit formulation or computational treatment of how off-diagonal elements affect the classification dynamics in the quantum epistemic model.

• Excitation-detector principle and the algebraic theory of planon-only Abelian fracton orders (2026) · doi

  The algebraic framework for p-modular theories and their compactifications (SN, bN) is developed abstractly for arbitrary N ∈ ℕ, but no explicit computational methods or algorithms are provided for determining when compactified p-theories achieve modular structure for finite N in concrete fracton models.

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

  The paper proposes that trapped surfaces in spacetime have quantum mechanical properties based on their extremely short period of existence, but does not provide experimental methods or observational criteria to detect and measure these quantum properties of trapped surfaces in actual electromagnetic field propagation.

• Mechanistic modeling of primary drying of frozen particulates (2026) · doi

  The diffusive resistance parameter (rdif) was fit empirically for spherical, dome, and disc particles; the authors acknowledge that generalizing rdif across particle compositions with different surface-to-volume ratios requires systematic investigation to avoid re-fitting for each new particle type.

• The nonlinear interaction of a pair of counter-rotating vortices (2026) · doi

  Vorticity diffusion due to viscous effects is mentioned as a potential contributor to measured circulation changes in secondary vortex legs, but its quantitative contribution relative to vorticity annihilation near peak-primary interactions has not been isolated. Direct viscous dissipation measurements or Reynolds number parametric studies (varying viscosity while maintaining geometric configuration) are required to decouple these competing mechanisms.

• An improved upper bound on the covering radius of the logarithmic lattice of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:mi mathvariant="double-struck">Q</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:msub> <mml:mrow> <mml:mi>ζ</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>n</mml:mi> </mml:mrow> </mml:msub> <mml:mo stretchy="false">)</mml:mo> </mml:math> (2026) · doi

  The proof strategy relies heavily on substituting improved bounds from Lemma 7 into the framework of de Araujo [3], but the paper does not explore whether the optimization of nI selection (shown to be maximal at nI=2 for n≥4) could be further refined through computational search over specific ranges of n or through alternative parameterization strategies for the logarithmic lattice.

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

  The paper establishes that the constrained Dirac spinor ψcon remains in an impure state (as an average value equation) rather than achieving a pure eigenstate; concrete numerical demonstration of the degree of impurity for specific atomic systems and methods to further purify the constrained state through modified constraint formalism warrant investigation.

• Discussions on Session 2A:Quantum effects in chemistry (2011) · doi

  Experimental control of molecular positioning in single-molecule conduction experiments remains technically unresolved. The question of whether electrodes can be brought to identical distances without molecular displacement or repositioning (as raised regarding H₂ measurements by von Ruitenbeek) must be addressed to enable systematic study of how inter-electrode spacing affects quantum interference and conductance quantization.

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

  Surface and edge termination effects in orthorhombic SrVSi2O7 have not been systematically studied; first-principles calculations with different surface terminations and their impact on the emergence of corner and edge states require detailed investigation.

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

  The framework for describing mixed state measurements relies on Bayesian updating of probabilities {pi(t)} as readouts accumulate, but the specific algorithmic procedure and convergence criteria for this purification process during continuous quantum measurement are not explicitly detailed or analyzed.

• Temperature controlled phase transition and characterization of Cu2O and CuO thin films grown at different growth temperatures via mist CVD (2026) · doi

  The authors identified sub-bandgaps in the energy states of Cu2O and CuO thin films related to defect-related peaks in PL spectra at 3 K, but did not systematically investigate how the broadening of these defect-related peaks masks the near-bandgap (NBE) emission. A detailed characterization comparing defect density quantification across different growth temperatures in the mist-CVD method is needed to explain the masking mechanism.

• Multimessenger flare in the quasar PKS 0446+11 (2026) · doi

  The jet morphology and superluminal motion characteristics of PKS 0446+11 require higher-resolution VLBI observations at milliarcsecond scales to resolve the magnetic field structure and particle acceleration zones within the jet during flaring states. Current mm-VLBI data do not provide sufficient angular resolution to map these compact regions.

• Quantum skyrmions and high dimensional entanglement mediated by nanophotonics (2026) · doi

  The SPP propagation distance calculations assume a fixed gold permittivity (ε₂ = −24.718 + 1.5517j) at 808 nm, but the nanophotonic platform's performance across different wavelengths in the near-infrared spectrum (particularly beyond the 808 ± 1.5 nm band-pass filter range used experimentally) has not been characterized, limiting the tunability and broadband applicability of the quantum skyrmion generation system.

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

  The 2-beam PT-SRS setup could not apply simultaneous modulation of pump and Stokes beams due to setup complexity constraints, preventing experimental validation of the inverse quadratic SNR scaling demonstrated theoretically in Fig. 6(c). This simultaneous modulation capability needs to be implemented and its SNR enhancement effects empirically demonstrated.

• Quantum ground-state cooling of two librational modes of a nanorotor (2026) · doi

  The phase-noise reduction scheme uses a 100-m single-mode fiber in a prevacuum chamber with manual polarization control, but the paper does not specify optimization strategies for extending this approach to higher frequencies or alternative cavity configurations where laser phase noise may manifest differently across the tweezer-cavity detuning spectrum.

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

  The proof technique relies on the concentration of measure phenomenon for Gaussian vectors on the sphere, specifically bounding P(|∥G∥²/N - 1| ≤ N^(-κ)) for κ ∈ (0, 1/2). The optimal value of κ and whether finer concentration rates can improve the convergence bounds for v_N(θ) to v(θ) has not been characterized.