Published May 11, 2026
| Version 3.4
Preprint
Open
Oriented Volume Spacetime Theory:A Minimal Conservative Extension of Loop Quantum Gravity (Version 3.4)
Description
Oriented Volume Spacetime Theory (OVST) 3.4 Description
Oriented Volume Spacetime Theory (OVST) is a minimal conservative extension of Loop Quantum Gravity (LQG) that restores the arbitrarily discarded volume sign degree of freedom, providing a self-consistent background-independent framework for quantum gravity.
Core Principles
OVST is built entirely on a single fundamental principle: scale duality. This principle states that the laws of physics are invariant under the transformation that flips the sign of the spatial volume operator. By restoring this symmetry, OVST naturally introduces a dual-branch spacetime structure (\(M^+/M^-\)) without any additional dimensions, supersymmetry, strings, or unobserved entities.
All predictions of the theory are uniquely determined by first principles. There are no free parameters in the fundamental formulation of OVST. The cross-branch coupling constant \(\lambda\) is not an adjustable parameter, but a value uniquely fixed by the requirement that the Hamiltonian constraint algebra closes consistently.
Key Results
This work addresses several long-standing core problems of canonical quantum gravity:
- Natural cancellation of the Hamiltonian constraint anomaly through cross-branch interaction
- Complete resolution of all classical spacetime singularities (black hole and Big Bang) without fine-tuning
- Emergent time mechanism that provides a clear solution to the problem of time
- Strict protection of Lorentz invariance at all energy scales, resolving the Lorentz violation issues present in traditional LQG
- Exact reduction to classical General Relativity in the macroscopic limit, where cross-branch coupling vanishes identically
OVST is not a Theory of Everything (TOE), but a consistent quantum theory of spacetime that provides a solid foundation for future unification efforts.
Version 3.4 Updates (May 11, 2026)
- Completed the full and rigorous derivation of the Hamiltonian constraint algebra closure in the dual-branch framework
- Proved the anomaly cancellation mechanism for all vertex orders up to three vertices
- Added detailed calculations of the Planck brane transition amplitude and black hole interior geometry
- Improved the discussion of the low-energy correspondence principle and classical limit
- Clarified technical notations and corrected minor typos throughout the manuscript
- Updated ORCID and contact information
Citation
If you use this work in your research, please cite it as:
Liu, J. (2026). Oriented Volume Spacetime Theory: A Minimal Conservative Extension of Loop Quantum Gravity (Version 3.4). Zenodo. https://doi.org/10.5281/zenodo.20126087