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Open research questions in Noncommutative and Quantum Gravity Theories

140 unresolved questions extracted from the limitations and future-work sections of 299 Noncommutative and Quantum Gravity Theories papers in our library. Each links back to the study that raised it.

What the literature leaves open

  • 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

  • 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 Standard Model of particle physics faces challenges such as the problem of time and the hierarchy problem. The theory of emergent time is introduced to address these challenges.

    Emergent Time in Quantum Field Theories: Implications for the Standard Model of Particle Physics · 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

  • 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 tension between the treatment of time in ordinary quantum mechanics and general relativity. The need for a fully specified dynamical model to derive observable differences in conditional-state reconstruction. The challenge of experimentally testing the predictions of the adhyāsic framework.

    Adhyāsa, Vivarta, and the Emergence of Relational Time: A Formal Research Program Inspired by Advaita Vedānta · 2026 · DOI

  • The paper identifies several technical challenges, including the need to develop a rigorous mathematical framework for the WUCC framework. The paper also identifies several domain challenges, including the need to understand the nature of spacetime and the behavior of matter at very small distances. The framework is still in the early stages of development, and further work is needed to fully understand its implications.

    Planck Scale Emergence from Triadic Phase Symmetry A WUCC Hypothetical Explanation · 2026 · DOI

  • The paper identifies the challenge of composing local 2D sheets into a single coherent 4D Lorentzian manifold. It addresses the need for a quantitative treatment of the IFO atomic model.

    Unknot–Energy Correspondence: Causal Closure as the Origin of 4D Spacetime and Photon Properties · 2026 · DOI

  • To further develop Inversion Analysis and its applications to physical phenomena. To explore the implications of the fundamental inversion identity and the 4D topological dimensional unification proof for our understanding of the universe.

    Inversion Analysis: A Non-Singular Topological Foundation for Continuum Physics & Plenum Mechanics · 2026 · DOI

  • The axiom of absolute zero introduces unphysical point-mass singularities and infinite particle self-energies in classical continuum mechanics and quantum field theory. Existing theories do not provide a comprehensive understanding of physical phenomena at the quantum and continuum levels.

    Inversion Analysis: A Non-Singular Topological Foundation for Continuum Physics & Plenum Mechanics · 2026 · DOI

  • The paper suggests further research on the application of the reduction chain to other nonlocal gravity theories. The paper suggests further research on the development of new gravity theories using the reduction chain.

    History-Dependent Gravity LXIX: From Memory Reduction to Emergent Dynamics · 2026 · DOI

  • The paper identifies the gap in the current understanding of nonlocality in gravity theories. The paper addresses the question of which features of the nonlocal kernel are physically meaningful.

    History-Dependent Gravity LXIX: From Memory Reduction to Emergent Dynamics · 2026 · DOI

  • The black hole information paradox is a central puzzle in contemporary physics. The paper identifies a gap in understanding the conceptual tensions underlying the paradox.

    Structural Analogies Between Loop Invariants and Information Flow in Black Hole Systems (v2) · 2026 · DOI

  • The mathematical structures of GR and QFT are fundamentally incompatible. There is a need for a unified framework for quantum gravity.

    E‑Spacetime: A Noncommutative Entanglement Geometry Extending Einstein Gravity · 2026 · DOI

  • The lack of a structural derivation of the Standard Model gauge group. The need for a framework that accounts for various phenomena, including the Ellis-Baldwin radio-dipole excess.

    OFN as a CWS Quantum Code on the Octahedron Graph and its Cosmological and Philosophical Consequences · 2026 · DOI

  • The paper identifies a gap in traditional chrono-dynamic tracking geometries and gauge amplitude field networks. The gap is related to the lack of an explicit invariant regularizing scale factor.

    Foundations of Trans-Planckian Horizon Lock Mechanics -- The First Universal Secret: Primordial Cosmic Dawn Initialization Matrix and Causal Invariant Scale · 2026 · DOI

  • A future derivation must produce the condensed phase and its string tension. The paper suggests that the non-Abelian geometric connection may contain a center-vortex sector whose condensation generates confinement.

    A Geometric Framework for Non-Kahler Complex Spacetime and Emergent Particle Dynamics · 2026 · DOI

  • The paper identifies a gap in the current understanding of the physical universe, proposing a geometric framework for non-Kahler complex spacetime and emergent particle dynamics. The framework aims to provide a geometric origin for quantum behavior, thermal time, gravity, and several cosmological phenomena.

    A Geometric Framework for Non-Kahler Complex Spacetime and Emergent Particle Dynamics · 2026 · DOI

  • The paper addresses the gap between the kinematical Hilbert space of loop quantum gravity and classical general relativity. The results provide a new understanding of the emergence of classical gravitation from quantum geometry.

    Non-linear emergence of Einstein's equations from the 26-valent Chebyshev network: the complete classical limit of loop quantum gravity · 2026 · DOI

  • The lack of a complete, parameter-free derivation of classical general relativity from a microscopic quantum theory. The need for a self-consistent derivation of classical general relativity and semiclassical quantum gravity.

    The Chebyshev–LQG correspondence: a complete derivation of classical and quantum gravity from the 47/512 vacuum · 2026 · DOI

  • A forthcoming dedicated study will refine the calculation of the loop integrals. The paper suggests further research in black hole thermodynamics and quantum cosmology within the Chebyshev-LQG framework.

    Quantum fluctuations on the emergent curved spacetime: canonical quantization of the Chebyshev–LQG network · 2026 · DOI

  • The paper identifies the need to promote the emergent metric perturbation uµν from a classical c-number field to a quantum operator. The paper addresses the gap between classical emergent general relativity and quantum field theory in curved spacetime.

    Quantum fluctuations on the emergent curved spacetime: canonical quantization of the Chebyshev–LQG network · 2026 · DOI

  • The fundamental fragility of the vacuum. The need for an active error-correction process. The complexity of the Standard Model gauge group.

    OFN as a CWS Quantum Code on the Octahedron Graph and its Cosmological and Philosophical Consequences · 2026 · DOI

  • Experimental verification of the predicted Planck-scale remnant. Further development of the theory to include matter and radiation.

    The Chebyshev–LQG correspondence: a complete derivation of classical and quantum gravity from the 47/512 vacuum · 2026 · DOI

  • The resolution of OP1 (D39) removes the sole foundational hypothesis from the programme. 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. This problem is structurally equivalent to OP12: both reduce to counting coherent configurations on a collective PDL surface. Open Problem 10.3 (Global uniqueness of the proton quintuplet). Establish that (24, 28, 930, 10087, 11017) is the globally unique admissible quintuplet (local uniqueness is proved in D16b [17]).

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

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140 open questions have been extracted from the limitations and future-work passages of 299 Noncommutative and Quantum Gravity Theories 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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