A Unified Quantum-Gravity Theory of Geometric Monism: Structured Spacetime Manifolds and Topological-Sector Screening
Abstract
Addressing the ontological divide between general relativity and quantum mechanics, this paper constructs a geometric-monism framework in which the unique fundamental physical reality of the universe is the four-dimensional smooth, orientable Lorentzian manifold. Elementary particles are interpreted as stable configurations of localized high-curvature gravitational solitons of spacetime, and matter waves as spacetime-curvature perturbation fields excited by soliton motion. Relying on a topological-sector coexistence mechanism and an observation-induced topological locking effect, path-integral methods are used to elucidate the physical nature of quantum superposition and wavefunction collapse in quantum measurement. Starting from a higher-curvature gravitational action, the geometric-dynamical field equations are derived, the paradigm of an independent matter stress–energy tensor is discarded, and wave–particle duality together with the de Broglie relation is derived self-consistently along a purely geometric route. A conditional scaling prediction for the mean spacetime curvature of the electron is given; its static-soliton premise receives no support within the static vacuum sector (Appendix B), and the prescribed turn to the time-dependent sector has now been executed: a universal family of long-lived oscillon-type curvature solitons is shown to exist in the f(R)-equivalent scalaron slice, the classical-family extrapolation to the electron workpoint is excluded by the Kaup bound by at least nineteen orders of magnitude, and the curvature-window prior [0.01, 1] is conditionally calibrated. The fixing of particle masses accordingly devolves to the topological-locking module. Several readily implementable, rigorously falsifiable precision-physics experimental schemes are designed. Upholding spacetime-geometry determinism, the theory ascribes quantum statistical-probability effects to the observation system's inability to access the full global topological information, achieving a globally self-consistent unification of spacetime, matter, gravity, and the quantum-measurement framework.
Related
- Smoothing topological isotopy of surfaces in 4-manifolds with a boundary geometric dual
- Topological Resolution of the Yang-Mills Mass Gap Problem: Quantum-Geometric Mass Generation via 5D Information-Metric Manifolds
- Topological Resolution of the Hodge Conjecture: Quantum-Geometric Cycle Quantization via 5D Information-Metric Manifolds
- Aetheris: Topological Astigmatism of Spacetime as a Unified Geometric Framework for Galactic Dynamics, the Hubble Tension, and Cosmic Age
- A Geometric Framework for Constrained SO(3,3) Spacetime: A Comprehensive Review from Topological Extradimensions to the Master Lagrangian
BibTeX
@misc{wang2026unified,
title = {{A Unified Quantum-Gravity Theory of Geometric Monism: Structured Spacetime Manifolds and Topological-Sector Screening}},
author = {Hai Tao Wang},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23450599},
url = {https://zenodo.org/records/23450599},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Unified Quantum-Gravity Theory of Geometric Monism: Structured Spacetime Manifolds and Topological-Sector Screening
AU - Hai Tao Wang
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23450599
UR - https://zenodo.org/records/23450599
AB - Addressing the ontological divide between general relativity and quantum mechanics, this paper constructs a geometric-monism framework in which the unique fundamental physical reality of the universe is the four-dimensional smooth, orientable Lorentzian manifold. Elementary particles are interpreted as stable configurations of localized high-curvature gravitational solitons of spacetime, and matter waves as spacetime-curvature perturbation fields excited by soliton motion. Relying on a topological-sector coexistence mechanism and an observation-induced topological locking effect, path-integral methods are used to elucidate the physical nature of quantum superposition and wavefunction collapse in quantum measurement. Starting from a higher-curvature gravitational action, the geometric-dynamical field equations are derived, the paradigm of an independent matter stress–energy tensor is discarded, and wave–particle duality together with the de Broglie relation is derived self-consistently along a purely geometric route. A conditional scaling prediction for the mean spacetime curvature of the electron is given; its static-soliton premise receives no support within the static vacuum sector (Appendix B), and the prescribed turn to the time-dependent sector has now been executed: a universal family of long-lived oscillon-type curvature solitons is shown to exist in the f(R)-equivalent scalaron slice, the classical-family extrapolation to the electron workpoint is excluded by the Kaup bound by at least nineteen orders of magnitude, and the curvature-window prior [0.01, 1] is conditionally calibrated. The fixing of particle masses accordingly devolves to the topological-locking module. Several readily implementable, rigorously falsifiable precision-physics experimental schemes are designed. Upholding spacetime-geometry determinism, the theory ascribes quantum statistical-probability effects to the observation system's inability to access the full global topological information, achieving a globally self-consistent unification of spacetime, matter, gravity, and the quantum-measurement framework.
ER -