The incompatibility between General Relativity

The gap

Evidence profile

Stated in the future work and cells future research and cells research gap sections of the source papers, classified as general, spanning 2 journals.

Supporting evidence — 7 representative gaps

• The Structural Spacetime Manifold Model and Geometric Monism Unified Quantum Gravity Theory——A Self-Consistent System Based on Higher-Curvature Gravity and Topological Sector Selection (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi

  This paper establishes a complete unified quantum gravity theoretical framework based on geometric monism, which organically unifies spacetime structure, essential composition of matter, gravitational interaction and quantum measurement dynamics, and fundamentally resolves the inherent ontological contradictions between general relativity and quantum mechanics. The statistical randomness in quantum phenomena is interpreted as macroscopic statistical results caused by incomplete global topological information, while the evolution of objective spacetime follows strict deterministic geometric and topological laws. 6.1 Core Conclusions 1. Microscopic elementary particles are essentially stable singularity-free gravitational soliton solutions allowed by the parameter space of higher-curvature gravity theory. 2. 9 Wave-particle duality and de Broglie basic law can be completely derived from pure spacetime geometric dynamics, getting rid of the dependence on traditional quantum mechanics basic axioms. 3. The proposed observational topological boundary locking mechanism realizes complete geometric interpretation of quantum state projection behavior, and thoroughly abandons artificial wave function collapse hypotheses. 4. The definite quantitative theoretical prediction of electron average spacetime curvature is given, and multiple lowcost and easily implemented falsifiable experimental verification schemes are designed. 5. A qualitative geometric integral characterization method of inertial mass is proposed for asymptotically stationary spacetime, laying a foundation for further unifying fundamental particle physical properties and spacetime geometric characteristics. This research integrates core quantum mechanical laws into classical geometric dynamical systems, and realizes logical self-consistency between microscopic quantum evolution rules and macroscopic gravitational spacetime physical laws. All theoretical conclusions and physical predictions are established on two basic premises: four-dimensional continuous Lorentzian spacetime and constrained higher-curvature gravity parameter range. The physical laws under extreme high-energy and ultra-strong curvature conditions are not within the current research scope. 6.2 Limitations and Future Research Directions 1. Strictly prove the existence of analytical soliton solutions, complete high-precision numerical simulation verification of soliton stability, and further carry out rigorous demonstration research on geometric mass characterization theory. 2. Optimize and improve the dynamical evolution equation of topological locking mechanism, so as to quantitatively describe the instantaneous transition process of quantum measurement. 3. Explore the geometric topological origin of Standard Model gauge symmetries, and establish quantitative correspondence relations between spacetime geometric deformation modes and particle spin, charge and other basic physical quantities. 4. Construct the canonical quantization scheme of structured spacetime theory, and gradually develop a fully selfconsistent unified quantum gravity theory. 5. Explain the physical essence of non-local quantum entanglement based on global spacetime topological correlation, and clarify the geometric physical connotation of Bell inequality violation. The above extended research contents are natural extensions and further developments of the present theoretical framework, rather than inherent theoretical defects, and will not affect the core conclusions and scientific falsifiability of this paper. This study is only limited to the initial stage of basic framework construction and preliminary quantitative prediction; strict analytical derivation and systematic dynamical optimization will be gradually completed in follow-up work in accordance with the standard research paradigm of basic theoretical physics. 6.3 Data Availability No original experimental data are generated in this study. All cited experimental results and astronomical observation data are sourced from publicly available peer-reviewed academic literature.

  generalstated in future workevidence 5/5
  Keywords: quantum geometric spacetime physical theoretical topological basic gravity laws curvature theory complete framework gravitational evolution
• A szubatomi metrikus feszültség: Tömegképződés, töltéskonjugáció és színkorlátozás levezetése a lokális téridő geometriájának elméletéből, GUT (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi

  Further development of the geometric framework, including the incorporation of additional physical phenomena. - Experimental verification of the predictions made by the theory, including the geometric interpretation of quantum spin and the Coulomb inverse square law. - Exploration of the potential implications of the framework for our understanding of the universe, including the behavior of black holes and the origins of the cosmos.

  generalstated in cells future researchevidence 5/5
  Keywords: further development geometric framework including incorporation additional physical
• Quantum Field Gravity: Gravitational Effects from Quantum Delocalization (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi

  The incompatibility between General Relativity and Quantum Mechanics. - The lack of a unified framework for understanding the gravitational consequences of delocalized quantum states.

  generalstated in cells research gapevidence 5/5
  Keywords: incompatibility between general relativity quantum mechanics lack unified
• Foundations of Space-Change Geometry Postulates, Derived Structure, and Open Conjectures – Version 2 (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi

  The paper identifies a gap in the understanding of the relationship between quantum theory and general relativity. - The theory of Space-Change Geometry aims to provide a deeper, unifying description of nature.

  generalstated in cells research gapevidence 5/5
  Keywords: paper identifies gap understanding relationship between quantum theory
• The Structural Spacetime Manifold Model and Geometric Monism Unified Quantum Gravity Theory——A Self-Consistent System Based on Higher-Curvature Gravity and Topological Sector Selection (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi

  The lack of a self-consistent system that unifies quantum gravity. - The inability of existing theories to resolve the quantum measurement paradox. - The need for a new perspective on the nature of spacetime and matter.

  generalstated in cells research gapevidence 5/5
  Keywords: lack self-consistent system unifies quantum gravity inability existing
• 2026 Frontier Physics and the PFUSRC Universal Rigid Axiom System: Empirical Consistency and Theoretical Predictions (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi

  Unresolved contradictions regarding unification, spacetime microstructure, and quantum-gravity consistency. - Lack of a complete and self-consistent framework for fundamental physics.

  generalstated in cells research gapevidence 5/5
  Keywords: unresolved contradictions regarding unification spacetime microstructure quantum-gravity consistency
• Quantum-gravitational backreaction in the BTZ background from curved momentum space (2026) · Classical and Quantum Gravity · doi

  The paper identifies a gap in our understanding of how quantum properties of spacetime backreact on classical gravity. - The study highlights the need for a semiclassical framework to derive an effective configuration-space description for particles in curved momentum space.

  generalstated in cells research gapevidence 5/5
  Keywords: paper identifies gap understanding quantum properties spacetime backreact

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