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Open research questions in Noncommutative and Quantum Gravity Theories

166 gap statements mined from Noncommutative and Quantum Gravity Theories papers in our 4.5M-paper local library, which holds 684 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

  • The lack of a comprehensive explanation of the universe's fundamental nature. The limitations of existing theories, such as String Theory and Loop Quantum Gravity.

    Dimensional Chaining Theory · 2026 · DOI

  • Future missions, such as CMB-S4 and LiteBIRD, will reach the required precision to test the model's predictions. Further development of the ECS-Biverse model is needed to fully understand its implications. Experimental verification of the model's predictions is necessary to confirm its validity.

    The Entangled CPT-Symmetric Biverse short version · 2026 · DOI

  • The simulations are limited to a small number of parallel universes. The study relies on a specific model of the underlying quantum-informational substrate.

    Thermodynamic Selection of Macroscopic Spacetime: Topological Phase Transitions and Stability Basins in Stabilizing Quantum Gravity · 2026 · DOI

  • The remaining open problems are at higher levels of derivation. Open Problem 10.1 (OP12 / BH-3). Derive the Bekenstein–Hawking formula SBH = kBc3A/(4Gℏ) from axioms C1–C4 alone, without invoking the Schwarzschild metric as input. Open Problem 10.2 (OP14). Derive the sub-shell filling sequence rexc(Z) ∈ {0, 1, 2, 3} (D40) analytically from C1–C4.

    Derivation of H3 from Axioms C1–C4: The Equiparticipation Lemma and the Closure of Causality · 2026 · DOI

  • The existing quantum gravity research and quantum field theory in curved spacetime have core limitations. The traditional theories cannot provide a consistent theoretical explanation for extreme physical scenarios.

    Dissipation Matching Theory of Quantum Gravity · 2026 · DOI

  • The lack of a consistent ultraviolet completion of gravity. The need for a physically motivated and predictive link between ultraviolet microphysics and late-time cosmology.

    Elastic Spacetime: Scale-Dependent Gravity from MicroscopicElasticity and Cosmological Constraints · 2026 · DOI

  • A more detailed scale-by-scale analysis of residuals, together with additional higher-order bias operators and improved infrared resummation, will be presented in future work using forthcoming DESI and Euclid data. The elastic spacetime framework can be used to study the properties of spacetime at microscopic scales.

    Elastic Spacetime: Scale-Dependent Gravity from MicroscopicElasticity and Cosmological Constraints · 2026 · DOI

  • The need to overcome the unapplicability of the separation of variables method.

    Quantum Analysis of the Effects of Coordinate Noncommutativity on Bidimensional Harmonic Motion under Parametric Variations · 2026 · DOI

  • The Manin–Marcolli framework extends to all class A Bianchi types; the construction here should also extend. Genus-g ≥ 2. The companion paper #4 (Modular Shadow LMP v2.5) noted that the genus-g ≥ 2 extension fails for the FLRW case. The Bianchi IX setting is intrinsically tied to X(2) (genus zero) and so the question is moot here; but extension to higher level X(N) is interesting. Co-authors targeted.

    ECI — Entanglement, Complexity, Information: a framework paper (v6.0.53.134, Phase 7 wave 10 multi-LLM heavy artillery + 5+ NEW conjectures + Vast.AI infrastructure) · 2026 · DOI

  • The calculation of the radiative correction to the Casimir energy for a massive scalar field in a network is a gap in the literature. The extension of previous work to the case of a Lorentz-violating scalar field is a new area of research.

    Radiative correction to the Casimir energy for massive scalar field in the network · 2026 · DOI

  • The lack of a successful attempt to unify General Relativity with QM. The need for a quantum-induced revision of the stress-energy tensor.

    Stress-Energy Tensor for Modified General Relativity with Quantum-Deformed Metric in Riemann Spacetime · 2026 · DOI

  • The non-renormalizability of general relativity at high-energies seems to be inconsistent with local quantum field theory. Previous approaches have not yet proven to be entirely satisfactory.

    A Renormalizable and Unitary Approach to Quantum Gravity · 2026

  • The problem of time is a fundamental challenge in generally covariant systems. The cosine problem is a technical challenge that needs to be resolved. The introduction of a clock degree of freedom is a challenge that requires careful consideration.

    The problem of time: a path integral view · 2026

  • The need to develop a novel approach to determine the critical exponents. The challenge of evaluating the scaling data without fixing the intermediate scaling dimensions.

    Taming the 3D Wilson-Fisher Fixed Point via Nonlocal Effective Action · 2026

  • It highlights the need for a deeper understanding of the interplay between energy conditions and gravitational solutions in this context.

    Modave lectures on energy conditions in quantum field theory and semi-classical gravity · 2026

  • The unification of general relativity with quantum mechanics remains the foremost unsolved problem in theoretical physics. The standard Lambda-CDM model successfully describes the evolution of the universe but does not address its most fundamental questions.

    The Entangled CPT-Symmetric Biverse short version · 2026 · DOI

  • The extension to four-dimensional de Sitter space is the open frontier of the program. The generalization to higher dimensions is an open step, not a completed one.

    The Last Revolution in Theoretical Physics Observer-Relative Physics and the Structure of the Current Revolution in Quantum Gravity · 2026 · DOI

  • The paper argues that the current understanding of the observer is based on an idealization.

    The Last Revolution in Theoretical Physics Observer-Relative Physics and the Structure of the Current Revolution in Quantum Gravity · 2026 · DOI

  • The introduction of noncommutative parameters is shown to induce nontrivial modifications in thermodynamic quantities.

    Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces · 2026 · DOI

  • Prior work has not been able to fully capture the behavior of the system.

    Taming the 3D Wilson-Fisher Fixed Point via Nonlocal Effective Action · 2026

  • Further study of the Stabilizing Quantum Gravity framework and its implications for our understanding of the universe. Investigation of the potential applications of the framework to other areas of physics.

    Thermodynamic Selection of Macroscopic Spacetime: Topological Phase Transitions and Stability Basins in Stabilizing Quantum Gravity · 2026 · DOI

  • Further study of the effects of noncommutativity on physical systems. Application of the approach to various physical phenomena, including nuclear physics and quantum optics.

    Quantum Analysis of the Effects of Coordinate Noncommutativity on Bidimensional Harmonic Motion under Parametric Variations · 2026 · DOI

  • Further study of the Casimir effect in different geometries and boundary conditions. Investigation of the effects of other types of boundary conditions or geometries on the radiative correction to the Casimir energy. Application of the box subtraction scheme to other calculations.

    Radiative correction to the Casimir energy for massive scalar field in the network · 2026 · DOI

  • Further study of the interactions of finite gravitational field with QM. Application of the proposed quantum-induced formulation to other areas of physics.

    Stress-Energy Tensor for Modified General Relativity with Quantum-Deformed Metric in Riemann Spacetime · 2026 · DOI

  • Further study of the path integral representation in generally covariant systems. Application of the paper's findings to loop quantum gravity and other background-independent quantum gravity approaches.

    The problem of time: a path integral view · 2026

Most-cited papers in Noncommutative and Quantum Gravity Theories

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Open questions raised by papers listed on this page include: (1) The lack of a comprehensive explanation of the universe's fundamental nature (“Dimensional Chaining Theory”, 2026); (2) Further development of the ECS-Biverse model is needed to fully understand its implications (“The Entangled CPT-Symmetric Biverse short version”, 2026); (3) The lack of a successful attempt to unify General Relativity with QM (“Stress-Energy Tensor for Modified General Relativity with Quantum-Deformed…”, 2026). 166 gap statements have been mined from Noncommutative and Quantum Gravity Theories papers in our 4.5M-paper local library, which holds 684 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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