The standard formulation of quantum mechanics and quantum

The gap

Evidence profile

Sourced from the stated research gap and future work and future-work section and stated challenges of the source papers, classified as general, spanning 3 journals.

Supporting evidence — 6 representative gaps

• Quantum Gravity Beyond the Bulk (2026) · International Journal of Modern Physics D · doi

  The standard formulation of quantum mechanics and quantum field theory is inadequate for gravitational interactions. There is a need for a new approach to quantum gravity that takes into account the global causal structure of spacetime.

  generalstated research gap
  Keywords: standard formulation quantum mechanics field theory inadequate gravitational
• 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.

  generalfuture 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.

  generalfuture-work sectionevidence 5/5
  Keywords: further development geometric framework including incorporation additional physical
• 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 research gapevidence 5/5
  Keywords: paper identifies gap understanding quantum properties spacetime backreact
• A Geometric Framework for Non-Kahler Complex Spacetime and Emergent Particle Dynamics (2026) · Zenodo (CERN European Organization for Nuclear Research) · 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.

  generalstated research gapevidence 5/5
  Keywords: paper identifies gap current understanding physical universe proposing
• A szubatomi metrikus feszültség: Tömegképződés, töltéskonjugáció és színkorlátozás levezetése a lokális téridő geometriájának elméletéből, GUT (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi

  The development of a geometric framework for understanding elementary particles and their interactions is a highly complex and challenging task. The need to unify quantum field phenomena with general relativity, while eliminating the need for ad hoc constructions, is a major challenge. The theory must be able to provide a comprehensive and consistent description of the physical world, including the behavior of spacetime and matter.

  generalstated challengesevidence 5/5
  Keywords: development geometric framework understanding elementary particles interactions highly

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