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Open research questions in Quantum and Classical Electrodynamics

114 gap statements mined from Quantum and Classical Electrodynamics papers in our 4.5M-paper local library, which holds 275 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.

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What the literature leaves open

  • A physical principle selecting this quintic-cubic form has not been identified. 𝐴5 − 2𝛽2 2. Origin of Λ. The locking strength Λ > 0 ensures quarter-turn stability and appears in the soliton mass parameter 𝛽2 = 𝑚2 + 𝜇2 + 2Λ, but is not derived from a deeper principle. Free parameters.

    Amplitude–Phase Geometry of Vacuum Resonances: Mass, Charge, Electromagnetic and Gravitational Coupling from Detuned Phase Structure · 2026 · DOI

  • Future research may focus on deriving dimensionless constants from first principles. The framework may be applied to other areas of physics, such as quantum mechanics and relativity.

    CONSTANTS ONTOLOGY – Paper C - Recursive Physical Constants and Force Refinement in the Unified Coherence Framework Root Constants, Coupling Invariants, and the Fine-Structure Constant · 2026 · DOI

  • The lack of a well-defined electron-vacuum interaction Hamiltonian. The need for a real photon wave function as a probability amplitude.

    Reappraisal of QED Mathematical and Physical Fundamentals · 2026 · DOI

  • The Absolute Medium unified field theory provides an axiomatically closed, and experimentally testable framework in which all known physics – special and general relativity, quantum mechanics, the Standard Model of particle physics, and even open problems like the hierarchy problem, confinement, and cosmic ray anomalies – emerge from a single elastic medium with finite coherence length and topological excitations.

    Absolute Medium Unified Field Theory: An Axiomatic, Geometric, and Topological Framework for All Interactions · 2026 · DOI

  • Further development of the Berg Theory is necessary to fully understand its implications. Experimental verification of the predicted signatures is required.

    Addendum IV to the Berg Theory · 2026 · DOI

  • The residue theorem requires finding all the singularities involved. The residue theorem needs to be applied to more complex systems.

    Applications of Residue Theorem in Modern Mathematical Physics · 2026 · DOI

  • Further research can be done to apply the residue theorem to more complex systems. The residue theorem can be used to study other topological phase transitions and calculate fidelity susceptibility in other models.

    Applications of Residue Theorem in Modern Mathematical Physics · 2026 · DOI

  • The need for a quantum-topological generalization of Resonant Vacuum Architecture. The lack of a parameter-free analytical synthesis of fundamental constants across micro, meso, and macro scales.

    Quantum Modification of Resonant Vacuum Architecture (RVA): Nonlinear Hydrodynamics of the Achromatic Singular Core and Through Spectral Synthesis of the Vacuum · 2026 · DOI

  • The geometric meaning of complex phase and the physical origin of quantization are not well understood. The nature of the photon and the interpretation of Planck's constant are not well understood.

    ON THE HIDDEN PHASE GEOMETRY OF PLANCK'S CONSTANT.From Maxwellian Phase Rotation to the Physical Meaning of the Photon · 2026 · DOI

  • Future research could explore the implications of the global coherence constraint, - future research could investigate the detailed form of the global coherence functional C[A].

    Maxwell Theory Under a Global Coherence Constraint · 2026 · DOI

  • The standard model of physics has a gap in understanding gravity at the quantum level. The unification of gravity with quantum mechanics has resisted every attempt for over a century.

    METYUM THEORY · 2026 · DOI

  • The paper states that the model does not, and should not, re-derive the numerical value of the speed of light. The model is limited to the weak-field, low-density, slow-variation regime. The paper notes that the absolute scales are not yet reconciled.

    Appendix I – Mechanical Propagation of EM-Ripples · 2026 · DOI

  • The paper suggests future research directions, including the study of wave propagation and energy transfer in extreme environments. The model's introduction of a strain-rate-dependent leakage mechanism suggests future research on the behavior of light in complex media. The paper's results have implications for the study of black holes and the behavior of light in extreme environments.

    Appendix I – Mechanical Propagation of EM-Ripples · 2026 · DOI

  • Developing a theoretical framework that remains compatible with general relativity and standard quantum field theory. Deriving the resulting stiffness-interface, phase-shift, and bound-facing signatures.

    Addendum IV to the Berg Theory · 2026 · DOI

  • The theory is descriptively complete but explanatorily silent: it does not account for why these symmetries exist, why charges take integer values, or why the internal symmetry group has the rank and structure that it does.

    Gauge Forces and Charge Quantization from Spectral Geometry in the Dynamical Fourier Field Framework · 2026 · DOI

  • The classical electron radius and reduced Compton wavelength are the two natural length scales of the electron—but why does nature select these particular scales? The cross-ratio identifies the ratio but does not explain the origin of the individual scales. A more fundamental theory would derive both re and ¯λC (and therefore α) from deeper principles.

    Fine-Structure Constant as a Cross-Ratio: A Geometric Reframing of α · 2026 · DOI

  • The SM cannot explain the observed baryon asymmetry of the Universe. The electroweak symmetry breaking phase transition is a smooth crossover in the SM.

    Complex scalar singlet model: Electroweak phase transition and gravitational waves · 2026 · DOI

  • Further development of the chronal dynamics framework to include other fundamental forces and constants.

    Chronal Fields and Non Linear Phase Attractors: Deriving Fundamental Constants, Nuclear Forces, and Atomic Scales from First Principles. · 2026 · DOI

  • Further study of the implications of Ulianov String Theory on our understanding of electromagnetic fields. Potential applications of the field-only formulation of Maxwell's equations.

    Ulianov’s Formulation of the Maxwell’s Equations, from a Spherical-Shell Electron Model · 2026 · DOI

  • Experimental verification of the predicted quarter-period structure. Further exploration of the geometric relation between phase closure and the fine structure constant.

    ON THE HIDDEN PHASE GEOMETRY OF PLANCK'S CONSTANT.From Maxwellian Phase Rotation to the Physical Meaning of the Photon · 2026 · DOI

  • Further study of the dodecahedral corridors of TVS23. Experimental searches for the field Ξ.

    Instantons Without Imaginary Time: The Strong CP Problem Resolved by A₅ Symmetry and the Dodecahedral Corridors of TVS23 · 2026 · DOI

  • Le présent article propose un cadre géométrique minimal destiné à explorer l’émergence possible de la charge électrique à partir d’un confinement cohérent de phase.

    On the coherent emergence of electric charge · 2026 · DOI

  • Further exploration of the relationship between number theory and physical constants. Investigation of potential applications in quantum mechanics and quantum electrodynamics. Development of new mathematical tools and techniques to analyze the fine-structure constant.

    Number-Theoretic Modular Symmetries in the Structure of the Fine-Structure Constant α−1 and QED Vacuum Shielding version 2 · 2026 · DOI

  • The classical paradigm of Quantum Electrodynamics treats the fine-structure constant α as an arbitrary, non-derivable value. The paper identifies a gap in the understanding of the fine-structure constant and its relationship to number theory.

    Number-Theoretic Modular Symmetries in the Structure of the Fine-Structure Constant α−1 and QED Vacuum Shielding version 2 · 2026 · DOI

  • Experimental confirmation of the theory, - Further development of the Chronal Photon Rotor v3 numerical model, - Investigation of the implications of the theory for our understanding of electromagnetic causality and energy…

    CHRONAL PHOTON ROTOR THEORY AND A MODIFIED LEBEDEV EXPERIMENT:Phase-Precursor Detection in Electromagnetic Radiation. · 2026 · DOI

Most-cited papers in Quantum and Classical Electrodynamics

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Open questions raised by papers listed on this page include: (1) Future research may focus on deriving dimensionless constants from first principles (“CONSTANTS ONTOLOGY – Paper C - Recursive Physical Constants and Force…”, 2026); (2) The lack of a well-defined electron-vacuum interaction Hamiltonian (“Reappraisal of QED Mathematical and Physical Fundamentals”, 2026); (3) The lack of a parameter-free analytical synthesis of fundamental constants across micro, meso, and macro scales (“Quantum Modification of Resonant Vacuum Architecture (RVA): Nonlinear…”, 2026); (4) The geometric meaning of complex phase and the physical origin of quantization are not well understood (“ON THE HIDDEN PHASE GEOMETRY OF PLANCK'S CONSTANT.From Maxwellian Phase…”, 2026); (5) Future research could explore the implications of the global coherence constraint, - future research could investigate the detailed form of the global coherence functional C[A] (“Maxwell Theory Under a Global Coherence Constraint”, 2026). 114 gap statements have been mined from Quantum and Classical Electrodynamics papers in our 4.5M-paper local library, which holds 275 papers on the topic; the gaps come from whichever of those papers state one. They are mostly the research gaps the authors state and the papers' abstracts, plus future-work, limitations and challenges passages. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one, so you can read the original claim in context.

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