Published June 4, 2026 | Version v1
Preprint Open

A Geometric Framework for Quantum Entanglement and Tunneling Based on Vector Light-Speed Helical Spacetime (Historical Archive Version)

Authors/Creators

  • 1. Independent Researcher

Description

The nonlocal correlation mechanism of quantum entanglement and the underlying dynamics of barrier
penetration in quantum tunneling constitute long-standing foundational explanatory gaps in standard
quantum mechanics. While the standard theory can accurately describe the phenomena and provide
probabilistic outcomes, it cannot offer a geometric-topological origin at the spacetime level.
Based on the foundational axioms of three-dimensional vector light-speed helical spacetime, this paper
establishes a self-consistent geometric explanatory framework: microscopic quantum effects are attributed
to emergent behaviors arising from the helical structure of spacetime, topological bonding, and spacetime
curvature resonance.
The contributions of this paper include:
1. Establishing the core axioms of three-dimensional helical spacetime and a three-level spacetime
normalization equation, constructing a low-energy emergence mechanism for four-dimensional
Minkowski spacetime, and resolving the self-consistency conflict between the old and new definitions
of spacetime;
2. Deriving the topological throat structure for two-particle entanglement based on the principle of
topological bonding stability, providing the spacetime geometric origin of nonlocal correlations
in entanglement and a finite propagation time delay;
3. Building an eigenfrequency model of spacetime distortion in the potential barrier, formulating the
geometric resonance condition for quantum tunneling, and deriving a discrete resonance tunneling
prediction distinct from the WKB approximation;
14. Independently deriving the mass-energy equivalence relation, the Lorentz transformation, and the
Bohr radius from the model’s axioms, thereby verifying the low-energy self-consistency of the frame
work;
5. Presenting a complete first-order perturbation integral derivation for the hydrogen 1S-2S
transition, yielding a quantifiable and verifiable prediction for a spectral shift;
6. Explicitly listing the mathematical limitations of the model, its boundary of applicability, and
falsifiable experimental protocols.
This framework offers a geometric alternative explanatory system distinct from standard quan
tum mechanics and quantum field theory. All quantitative results and predictions are preserved for
long-term academic scrutiny.
Keywords: vector light speed; helical spacetime; topological throat; spacetime topological bonding;
geometric resonant tunneling; quantum entanglement; hydrogen atomic spectral shift

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Additional details

References

  • [1] Zhang Xiangqian. Unified Field Theory. 2006. [2] Ji Li Wei. Vector Light Speed Helical Spacetime Normalization System. Preprint, 2026. [3] Ji Li Wei. Topological Residual Theory in Helical Spacetime: Physical Nature of 0.26% Gravitational Constant Deviation. Preprint, 2026[4] Hensen B, et al. Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres. Nature, 2015. [5] Udem T, et al. Precision measurement of the hydrogen 1S-2S transition frequency. PRL, 1997.