Methodology gaps in Physics

Representative open questions

Showing 30 of 190 — one per source paper, highest-quality first.

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

  The WriteFFO[] function currently lacks supported options for user-defined modifications to Feynman rules during model generation, requiring manual post-processing of generated model files. Automated handling of custom substitutions, vertex redefinitions, or effective coupling insertions would require development of a rule modification framework.

• 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.

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

  The General Reconstruction Theorem (L.2) requires identification of a physically grounded functional F and path-selection rule C, but the paper does not provide a systematic procedure for determining or deriving these constraints for novel physical domains beyond diffusion processes, limiting practical application of the framework to unfamiliar systems.

• Electrically switchable continuous phase liquid crystal Fresnel zone plate (2026) · doi

  The current 20 µm LC layer thickness was constrained by the axial voxel size limitations of the present two-photon photopolymerization direct laser writing (TPP-DLW) system. Specific experimental investigation is needed to determine the minimum achievable LC layer thickness when using higher numerical aperture (NA) objectives to reduce z-voxel size, and how this thickness reduction quantitatively affects the rise time according to the τrise ∝ d² relationship (Equation 3).

• 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

  The scaling reduction in Lemma C.6 establishes the relationship p_t^(a)(x,y) = a^(-d)p_τ^(1)(x',y') for arbitrary lattice spacing a∈(0,1], but uniform convergence of lattice heat kernels to their continuum limits as a→0 with explicit error bounds in terms of a is not derived.

• 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 octet truss model with alternating k=4 (tetrahedron) and k=6 (octahedron) structures is proposed as space-filling, yet requires rigorous proof that this configuration maintains isotropy and homogeneity across multiple scale hierarchies without topological defects.

• 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.

• Recent advances in spatial light modulator-based three-dimensional optical imaging (invited) (2026) · doi

  Single-pixel Fresnel incoherent correlation holography for 3D imaging (reference 44) introduces computational constraints for reconstruction; optimization of the effective aperture size and coded mask design specifically for single-pixel detection sensitivity and signal-to-noise ratio trade-offs has not been systematically explored.

• 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.

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

  The systematic treatment of single escape peak contributions (31% for 1763 keV, 4.1% for 1951 keV in the dysprosium measurement) lacks detailed methodology documentation. A comprehensive procedure for identifying and correcting single and double escape peaks across the full energy range of prompt gamma-ray measurements on lanthanide elements requires establishment.

• 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

  Subspace selection is proposed as a mechanism to prohibit pathways to certain states by setting their probabilities to zero, but the paper lacks explicit criteria or algorithms for determining which subspaces should be extracted during specific information processing tasks in the quantum epistemic framework.

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

  Theorem 7.32 establishes that filtered bases for M induce filtered bases for M* with equal ranks, but the paper does not explore how to explicitly construct or enumerate all possible filtered bases for finitely generated modules with a-filtrations in physically relevant fracton theories.

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

  The paper claims that non-linear tunnel effects in spacetime can be created by the movement of holes in spacetime in normal space relative to hyperspace, but provides no mathematical model or computational framework to calculate or predict the geometry of such non-linear spacetime tunnels.

• 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.

• Simulation and Experimental Study of the Optical Properties of Black Silicon Synthesized by Reactive Ion Etching (2026) · doi

  The optimal configuration of d ~ t (base diameter approximately equal to lattice periodicity) is identified for dense packing, but the specific process windows for RIE parameters (gas pressure, RF power, etching time, gas composition) that reliably achieve this ratio across different substrate sizes and orientations are not defined.

• Size-Scalable Near-Infrared Photoluminescence in Gold Monolayer Protected Clusters (2021) · doi

  The study employs femtosecond laser excitation at 3.10 eV, but does not explore how excitation wavelength or photon energy affects the bright-dark state population dynamics in Au20, Au25, and Au38 clusters. Wavelength-dependent photoluminescence measurements across the UV-visible range would clarify whether the size-scalable mechanism depends on excitation energy.

• 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 study demonstrated optical transparency maxima at specific wavelengths (70% at 700 nm for Cu2O at 300 °C and 960 nm for CuO at 450 °C) on glass substrates, but did not explore how substrate material composition or surface characteristics affect the optical properties and phase transition boundary in mist-CVD-grown copper oxide thin films.

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

  The relationship between rapid radio variability (on hourly timescales) and neutrino event clustering in PKS 0446+11 has not been systematically quantified. Future studies should apply wavelet cross-correlation analysis between radio light curves and neutrino arrival times to establish causal connections in blazar flare mechanisms.