Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Quantum Tunneling: Vortex Incision-Passing and Instant Closure Mechanism

Jiaman Lin, chuanzai lin

Published Apr 8, 2026• 0 citations
Publisher

Abstract

Based on the vacuum superfluid vortex cosmos theory, this paper proposes the "incision-passing and instant closure" mechanism of quantum tunneling. A particle is a high-speed rotating vortex ring in the vacuum superfluid, and its internal strong force is the confining pressure produced by high-speed rotation. During tunneling, the vortex does not stretch or form a ribbon; instead, a local incision directly passes through the thin potential barrier. Once the incision passes through, it rewinds immediately, and the entire vortex ring switches across the barrier instantaneously. The process requires no confrontation with the internal strong force, since the rear fluid keeps rotating continuously. The low probability of tunneling arises from the strict condition of counter-rotational fluid engagement, not from intrinsic quantum randomness.

DOI
10.5281/zenodo.19472641

Related papers

Reconstructing Quantum Mechanics: A Vortex-Based Replacement for Schrödinger’s Equation

Nader Butto

This article proposes a deterministic and geometrically grounded reformulation of quantum mechanics based on vortex dynamics in a structured, superfluid-like vacuum. Modeling the electron as a self-sustaining irrotational vortex with both internal rotation and external translation, the framework derives fundamental quantum phenomena—including de Broglie wavelength, Compton wavelength, spin, and quantization—directly from physical principles of motion and vacuum geometry. A generalized wave function is introduced, embedding both translational and rotational phase components, leading to a modified Schrödinger-like equation that naturally incorporates internal angular momentum. Interference, tunneling, and entanglement are reinterpreted as emergent behaviors of coherent vortex trajectories, eliminating the need for wavefunction collapse or intrinsic randomness. The Born rule is shown to arise from deterministic mechanisms such as phase averaging, internal oscillations, and ergodic dynamics. This vortex model aligns with classical, quantum, and relativistic principles, resolves key interpretational paradoxes, and offers a unified, causal framework for understanding quantum phenomena as structured motion within a physically real vacuum.

Journal of High Energy Physics Gravitation and Cosmology•Jan 1, 2025•0 citations

Instantaneous velocity during quantum tunnelling

Xiao-Wen Shang, Jian-Peng Dou, Feng Lu +3 more

Quantum tunnelling, a hallmark phenomenon of quantum mechanics, allows particles to pass through the classically forbidden region. It underpins fundamental processes ranging from nuclear fusion and photosynthesis to the operation of superconducting qubits. Yet the underlying dynamics of particle motion during tunnelling remain subtle and are still the subject of active debate. Here, by analyzing the temporal evolution of the tunnelling process, we show that the particle velocity inside the barrier continuously relaxes from a large initial value toward a smaller one, and may even approach zero in the evanescent regime. Meanwhile, the probability density within the barrier gradually builds up before reaching its stationary profile, in contrast to existing inherently. In addition, starting from the steady-state equations, we derive an explicit relation between the particle velocity and the barrier width, and show that the velocity in evanescent states approaches zero when the barrier is sufficiently wide. These findings resolve the apparent paradox of a vanishing steady-state velocity coexisting with a finite particle density. We point out that defining an effective speed from the probability density, rather than from the probability current, can lead to spuriously nonzero "stationary speed," as appears to be the case in Ref. [Nature 643, 67 (2025)]. Our work establishes a clear dynamical picture for the formation of tunnelling flow and provides a theoretical foundation for testing time-resolved tunnelling phenomena.

quant-pharXiv:2512.16385•Dec 19, 2025•0 citations

Vacuum tunneling of vortices in two-dimensional 4 He superfluid films

Michael J. Desrochers, D. J. J. Marchand, Philip C. E. Stamp

At low temperature T we expect vacuum tunneling processes to occur in superfluid 4 He films. We distinguish between extrinsic processes, in which single vortices nucleate by tunneling off boundaries in the system, and intrinsic processes, in which vortex/anti-vortex pairs nucleate far from boundaries. It is crucial to incorporate the varying effective mass of the vortex in tunneling calculations. The intrinsic processes are the superfluid analogue of the Schwinger mechanism in quantum field theory; here they appear as a quantum phase transition at T = 0, driven by an external supercurrent. We calculate the tunneling rate for these processes, and describe a means of testing the predictions using a specific “vortex counting” experiment.

arXiv:2510.12824•Proceedings of the National Academy of Sciences•Sep 2, 2025•1 citation

Superfluid dynamics of annular Bose gases

Mathieu de Goër de Herve

The irrotational nature of superfluids leads to spectacular rotational properties. For the fluid to rotate, its density must locally vanish at a singular point called a quantum vortex. The annular geometry is of great interest for studying superfluidity as the gas can rotate in this geometry around a central hole without requiring any singularity, allowing the existence of persistent currents along the ring with a quantized circulation. In out experiment, we confine cold atoms dressed by a radiofrequency field in an adiabatic potential based on a quadrupolar magnetic trap. The resulting bubble-shaped potential, both very smooth and easily tunable, allows us to produce two types of ring-shaped Bose-Einstein condensates. A first strategy consists in adding a far-detuned light sheet to confine the atoms at the intersection between the bubble and the horizontal plane imposed by the light field – i.e. a ring. We present the implementation and optimization of this trap and demonstrate the possibility to prepare and observe superfluid currents in the ring. A second path exploits the centrifugal force and the anharmonicity of the adiabatic potential to create an effective Mexican hat potential by rotating the trapped atoms at the bottom of the bubble faster than the trap frequency. After having realized such a system, we probe its quadrupolar modes to characterize the rotation. The study of vortex distribution in the rotating gas also shows a thermal melting effect of the finite temperature vortex lattice.

•Oct 23, 2018•0 citations

Einstein 2.0: A Fluid-Dynamic Representation of Quantum and Relativistic Phenomena via Toroidal Higgs-Field Vortices

Mohammd Raeed Al-anssari

This final version of my theory incorporates quantum tunneling. Section 4.4: Deterministic Quantum Tunneling This section reclassifies quantum tunneling from a probabilistic outcome to a deterministic, aerodynamic phenomenon. By decoupling motion into intrinsic (precessional tumbling) and extrinsic (orbital) reference frames, we demonstrate that tunneling occurs only when the particle’s zero-density supercavitation wake fully projects across the barrier’s thickness. Consequently, what is traditionally interpreted as "tunneling probability" is revealed to be a precise, mechanical duty-cycle dictated by the alignment of these wake-steering mechanics.

•Jun 11, 2026•0 citations

EVANESCENT TUNNELING A Hydrodynamic Resolution to the Potential Barrier Paradox

gareth mcbride

Standard Quantum Mechanics describes Tunneling as a probabilistic phenomenon where a particlepenetrates a potential barrier exceeding its kinetic energy, effectively “borrowing” energy toteleport across the gap. Hydrodynamic Quantum Cosmology (HQC) rejects this acausal interpretation.We propose a mechanical model based on Evanescent Flow. By defining the particle as arotating helical vortex and the barrier as a region of high viscosity, we demonstrate that tunnelingis the transmission of shear stress through the medium. The “tunneled” particle is not a ghost;it is the reconstruction of the vortex on the distal side via the propagation of an exponentiallydecaying (evanescent) twist wave.

•Feb 2, 2026•0 citations
Based on the vacuum superfluid vortex cosmos theory, this paper proposes the "incision-passing and instant closure" mechanism of quantum tunneling. A particle is a high-speed rotating vortex ring in the vacuum superfluid, and its internal strong force is the confining pressure produced by high-speed rotation. During tunneling, the vortex does not stretch or form a ribbon; instead, a local incision directly passes through the thin potential barrier. Once the incision passes through, it rewinds immediately, and the entire vortex ring switches across the barrier instantaneously. The process requires no confrontation with the internal strong force, since the rear fluid keeps rotating continuously. The low probability of tunneling arises from the strict condition of counter-rotational fluid engagement, not from intrinsic quantum randomness.
This article proposes a deterministic and geometrically grounded reformulation of quantum mechanics based on vortex dynamics in a structured, superfluid-like vacuum. Modeling the electron as a self-sustaining irrotational vortex with both internal rotation and external translation, the framework derives fundamental quantum phenomena—including de Broglie wavelength, Compton wavelength, spin, and quantization—directly from physical principles of motion and vacuum geometry. A generalized wave function is introduced, embedding both translational and rotational phase components, leading to a modified Schrödinger-like equation that naturally incorporates internal angular momentum. Interference, tunneling, and entanglement are reinterpreted as emergent behaviors of coherent vortex trajectories, eliminating the need for wavefunction collapse or intrinsic randomness. The Born rule is shown to arise from deterministic mechanisms such as phase averaging, internal oscillations, and ergodic dynamics. This vortex model aligns with classical, quantum, and relativistic principles, resolves key interpretational paradoxes, and offers a unified, causal framework for understanding quantum phenomena as structured motion within a physically real vacuum.
Quantum tunnelling, a hallmark phenomenon of quantum mechanics, allows particles to pass through the classically forbidden region. It underpins fundamental processes ranging from nuclear fusion and photosynthesis to the operation of superconducting qubits. Yet the underlying dynamics of particle motion during tunnelling remain subtle and are still the subject of active debate. Here, by analyzing the temporal evolution of the tunnelling process, we show that the particle velocity inside the barrier continuously relaxes from a large initial value toward a smaller one, and may even approach zero in the evanescent regime. Meanwhile, the probability density within the barrier gradually builds up before reaching its stationary profile, in contrast to existing inherently. In addition, starting from the steady-state equations, we derive an explicit relation between the particle velocity and the barrier width, and show that the velocity in evanescent states approaches zero when the barrier is sufficiently wide. These findings resolve the apparent paradox of a vanishing steady-state velocity coexisting with a finite particle density. We point out that defining an effective speed from the probability density, rather than from the probability current, can lead to spuriously nonzero "stationary speed," as appears to be the case in Ref. [Nature 643, 67 (2025)]. Our work establishes a clear dynamical picture for the formation of tunnelling flow and provides a theoretical foundation for testing time-resolved tunnelling phenomena.
At low temperature T we expect vacuum tunneling processes to occur in superfluid 4 He films. We distinguish between extrinsic processes, in which single vortices nucleate by tunneling off boundaries in the system, and intrinsic processes, in which vortex/anti-vortex pairs nucleate far from boundaries. It is crucial to incorporate the varying effective mass of the vortex in tunneling calculations. The intrinsic processes are the superfluid analogue of the Schwinger mechanism in quantum field theory; here they appear as a quantum phase transition at T = 0, driven by an external supercurrent. We calculate the tunneling rate for these processes, and describe a means of testing the predictions using a specific “vortex counting” experiment.
The irrotational nature of superfluids leads to spectacular rotational properties. For the fluid to rotate, its density must locally vanish at a singular point called a quantum vortex. The annular geometry is of great interest for studying superfluidity as the gas can rotate in this geometry around a central hole without requiring any singularity, allowing the existence of persistent currents along the ring with a quantized circulation. In out experiment, we confine cold atoms dressed by a radiofrequency field in an adiabatic potential based on a quadrupolar magnetic trap. The resulting bubble-shaped potential, both very smooth and easily tunable, allows us to produce two types of ring-shaped Bose-Einstein condensates. A first strategy consists in adding a far-detuned light sheet to confine the atoms at the intersection between the bubble and the horizontal plane imposed by the light field – i.e. a ring. We present the implementation and optimization of this trap and demonstrate the possibility to prepare and observe superfluid currents in the ring. A second path exploits the centrifugal force and the anharmonicity of the adiabatic potential to create an effective Mexican hat potential by rotating the trapped atoms at the bottom of the bubble faster than the trap frequency. After having realized such a system, we probe its quadrupolar modes to characterize the rotation. The study of vortex distribution in the rotating gas also shows a thermal melting effect of the finite temperature vortex lattice.
This final version of my theory incorporates quantum tunneling. Section 4.4: Deterministic Quantum Tunneling This section reclassifies quantum tunneling from a probabilistic outcome to a deterministic, aerodynamic phenomenon. By decoupling motion into intrinsic (precessional tumbling) and extrinsic (orbital) reference frames, we demonstrate that tunneling occurs only when the particle’s zero-density supercavitation wake fully projects across the barrier’s thickness. Consequently, what is traditionally interpreted as "tunneling probability" is revealed to be a precise, mechanical duty-cycle dictated by the alignment of these wake-steering mechanics.
Standard Quantum Mechanics describes Tunneling as a probabilistic phenomenon where a particlepenetrates a potential barrier exceeding its kinetic energy, effectively “borrowing” energy toteleport across the gap. Hydrodynamic Quantum Cosmology (HQC) rejects this acausal interpretation.We propose a mechanical model based on Evanescent Flow. By defining the particle as arotating helical vortex and the barrier as a region of high viscosity, we demonstrate that tunnelingis the transmission of shear stress through the medium. The “tunneled” particle is not a ghost;it is the reconstruction of the vortex on the distal side via the propagation of an exponentiallydecaying (evanescent) twist wave.