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Open research questions in Quantum Electrodynamics and Casimir Effect

73 unresolved questions extracted from the limitations and future-work sections of 150 Quantum Electrodynamics and Casimir Effect papers in our library. Each links back to the study that raised it.

What the literature leaves open

  • Future research could investigate the effects of other types of interactions on the stability of Dyson shells. The study's findings could be used to inform the development of more advanced models of Dyson shells and their stability. Further research could explore the implications of the study's results for the search for extraterrestrial intelligence (SETI) and the detection of large energy-harnessing structures.

    Stability of neutral and charged Dyson shells around Reissner-Nordström compact objects · 2026 · DOI

  • The study identifies a gap in the understanding of the stability of Dyson shells around charged compact objects. Prior research has focused on the stability of Dyson shells surrounding uncharged objects, leaving a gap in the analysis of charged objects.

    Stability of neutral and charged Dyson shells around Reissner-Nordström compact objects · 2026 · DOI

  • The Black Hole Information Paradox implies the non-unitary destruction of quantum states. The standard Hawking model introduces the paradox. The proposed model aims to address this gap.

    A Dimensionally Homogeneous Alternative to Hawking Evaporative Decay via Quantum Fluctuation Intensity at the Horizon · 2026 · DOI

  • Future research should focus on generalizing the framework to arbitrary mirrored fractal boundaries. Future research should aim to derive a rigorous first-principles computation of the local renormalized stress-energy tensor.

    Effective trace framework for self-similar Casimir systems · 2026 · DOI

  • The model must be able to describe the behavior of the vacuum in a way that is consistent with existing theories, such as General Relativity. The model must be able to make testable predictions. The model must be able to resolve some of the gaps in our current understanding of the vacuum.

    Dipolar String Model: an Exploratory Framework for the Vacuum from Transmission-Line Electrodynamics · 2026 · DOI

  • The quest for a Unified Field Theory has remained the central challenge of theoretical physics for over a century. Contemporary paradigms of theoretical physics often lack testable predictions and fail to address the core ontological question regarding the fundamental substance of the universe.

    The Elastic Continuum: A Non-Linear Scalar Field Approach to Fundamental Interactions and Solitonic Mass Generation · 2026 · DOI

  • Deriving quantitative differential predictions that distinguish the NVM Model from established theories. Experimental testing of the model's predictions. Further development of the model's mathematical structure.

    Nonlinear Vacuum Medium (NVM) Model: Technical Supplement · 2026 · DOI

  • The need for a theoretical framework that can describe the behavior of nonlinear, non-equilibrium physical systems. The lack of a detailed mathematical structure for the NVM Model.

    Nonlinear Vacuum Medium (NVM) Model: Technical Supplement · 2026 · DOI

  • Further study of the emergence of relativistic effects in discrete spacetime networks. Investigation of the implications of the results for the development of a complete semiclassical emergent theory of gravity.

    Retarded potentials, gravitomagnetism, and curvature caustics from moving sources in the Chebyshev network · 2026 · DOI

  • The gap between discrete loop quantum gravity kinematics and full linearized general relativity. The lack of a complete semiclassical emergent theory of gravity.

    Retarded potentials, gravitomagnetism, and curvature caustics from moving sources in the Chebyshev network · 2026 · DOI

  • The subsequent transition-deriving the complete Einstein-Hilbert action and field equations from non-linear self-interactions of the emergent tensor field uµν-forms the core objective of the forthcoming Paper 12.

    Unified emergent gravity from the Chebyshev–LQG correspondence: the 47/512 vacuum invariant as the origin of G, c, and the cosmological constant · 2026 · DOI

  • The gap is that prior works have not provided a unified framework for deriving classical gravity from loop quantum gravity. The gap is that prior works have not provided a unified framework for expressing all macroscopic parameters in terms of the Planck energy scale and the vacuum topological invariant.

    Unified emergent gravity from the Chebyshev–LQG correspondence: the 47/512 vacuum invariant as the origin of G, c, and the cosmological constant · 2026 · DOI

  • The simulations are limited to a 128³ periodic lattice. The discrepancy between the fitted amplitude and the continuum prediction is fully explained by finite-size torus effects.

    Two-body interaction in the Chebyshev network: emergence of Newton's law of gravitation from loop quantum gravity · 2026 · DOI

  • Dynamic defect motion: introducing time dependence and retarded potentials to recover the linearized Einstein equations and gravitational waves. N-body interactions and collapse: studying multi-defect clusters to investigate non-linear elastic saturation and emergent horizon formation.

    Two-body interaction in the Chebyshev network: emergence of Newton's law of gravitation from loop quantum gravity · 2026 · DOI

  • Experimental verification of the proposed model. Further study of the Quantum Staircase Collapse and its implications for quantum gravity.

    A Dimensionally Homogeneous Alternative to Hawking Evaporative Decay via Quantum Fluctuation Intensity at the Horizon · 2026 · DOI

  • The reconciliation of General Relativity with Quantum Field Theory - The lack of a semiclassical model of emergent gravity

    Emergent Gravity via Causal Smoothing of Vacuum Momentum Transfers · 2026 · DOI

  • The classical Big Bang singularity. The lack of an analytic derivation of η from first-principles continuum mechanics.

    The Unified Acoustic-Piezoelectric Spacetime Model: Non-Linear Strain Dynamics, Soliton Matter, and the Non-Singular Cosmic Bounce · 2026 · DOI

  • The derivation in equation (5.6)-(5.7) identifies that pair-wise insertions of φ+ and φ− fields (alternating black and white circles) on pinched diagrams determine the leading-order contributions to scalar condensate decay. However, the systematic characterization of which diagram topologies and insertion patterns contribute at each order in the β expansion, and how to efficiently compute these contributions without enumerating all p-dependent diagrams, remains undeveloped.

    Decay of a scalar condensate in two different approaches · 2026 · DOI

  • The consistency verification between the parametric-resonance approach and Feynman-diagrammatic approach has only been explicitly demonstrated for leading-order (LO) and next-to-leading-order (NLO) terms in specific θ orders. The paper has not provided a general proof or systematic validation that these two methods produce identical results at all orders of θ and arbitrary orders in the β expansion for scalar condensate decay.

    Decay of a scalar condensate in two different approaches · 2026 · DOI

  • The H0 tension and the scale hierarchy problem are not satisfactorily explained by prior models. A novel resolution is needed to address these complex observations.

    HIGM v0.4: Towards a Unified Field Theory - Higgs Vacuum and Gravitational Synthesis · 2026 · DOI

  • The ERG flow equation for the Wilson action is a non-linear functional differential equation. There is no fundamental issue on the gauge symmetry in ERG, but finding a solution to the ERG flow equation is a serious problem.

    Gauge invariant non-perturbative Wilson action in quantum electrodynamics · 2026 · DOI

  • The paper suggests that future research should investigate dissipative effects in gravity. The paper suggests that future research should apply the results to the study of open quantum and classical systems.

    Emergent structures and consistency of open EFTs · 2026 · DOI

  • Further study of the implications of Podolsky electrodynamics on other physical phenomena. Application of the TFD formalism to other areas of physics, such as quantum field theory and condensed matter physics. Investigation of the effects of Podolsky electrodynamics on the behavior of particles at high energies.

    Thermal and spatial confinement effects in Podolsky electrodynamics · 2026 · DOI

  • The classical theory of electromagnetism has limitations, particularly in the presence of divergences at small scales. Prior work on the Stefan-Boltzmann law and the Casimir effect does not account for the effects of Podolsky electrodynamics.

    Thermal and spatial confinement effects in Podolsky electrodynamics · 2026 · DOI

  • The nonlinear response exponent p is treated phenomenologically, inferred from galactic data. The derivation of p from the underlying stiffness couplings is deferred to future analysis. Precise numerical predictions require calibration against observational datasets and explicit modeling of environmental coherence.

    A Covariant Field Theory of Vacuum Stiffness for Low-Acceleration Gravity (Quantum Vacuum Composite Stiffness Response) · 2026 · DOI

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73 open questions have been extracted from the limitations and future-work passages of 150 Quantum Electrodynamics and Casimir Effect papers in our library. Each one below links back to the study that raised it, so you can read the original claim in context.

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