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How an Electron Walks Through Walls

Original: "Field emission tunnelling as a window onto fundamental issues in quantum mechanics"
· Richard G. Forbes
arXiv:2505.00872v4 · 2025-05-01 · CC BY · ⏱ 1 min · Quantum Physics
Scientists propose a new explanation for quantum tunneling: the electron is not a point, but a cloud of matter.
Abstract

An electron is not a tiny ball; it's more like a cloud of probability. Scientists discussed the ambiguities in quantum tunneling, when a particle passes through a barrier. Why can't we say exactly where the electron is, and how does this affect technology? Imagine: we look at electrons, but we only see their shadows.

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The electron is capable of something amazing: passing through a barrier that is insurmountable for ordinary particles. This is quantum tunneling, the basis for many devices. But how exactly does the electron do it? By treating it as a point, physicists got nonsense: inside the barrier, the energy became negative. Schrödinger proposed seeing the electron as smeared-out matter, but later backed off. Now scientists are returning to the idea of a matter cloud: the electron is not a point, but an extended cloud.

During tunneling, the cloud seeps through like water through sand, without breaking apart. Then the uncertainty principle is not a fundamental prohibition, but a consequence of the electron's size. This view clarifies wave function collapse, the measurement problem, and quantum decoherence — that is, the birth of reality from probabilities. The idea echoes the work of Bohm and Bell, but without unnecessary entities.

The cloud electron changes the rules for electromagnetism in the nanoworld. Surprise: protons of hydrogen and nuclei of helium also tunnel, causing mutations in DNA. That means carbon-based life may be evolving thanks to quantum leaks.

🎯 The image of chemical bonds in a carbon ring was obtained at a magnification of 100 million times — as if you examined a cherry the size of Earth down to its pit.

🎬 An electron cloud seeping through a barrier is reminiscent of an astronaut passing through a star gate in "2001: A Space Odyssey".

D\approx\exp\left[-\sqrt{\frac{8m_{e}}{\hbar^{2}}}\int_{z_{1}}^{z_{2}}M^{1/2}(\phi,F,z)dz\right]
Barrier transparency coefficient: the lighter the octopus electron and the narrower the mountain pass M, the higher the probability of leakage.
\Psi_{n}(\mathbf{r})\Psi_{n}^{*}(\mathbf{r})=n_{1}\psi(\mathbf{r})\psi^{*}(\mathbf{r})
Density distribution of electron substance; n1 = 1 electron—the fundamental portion of matter, pointing to reality rather than probability.
Scientists
Niels BohrPascual JordanWerner HeisenbergCharles-Augustin de CoulombJames Clerk MaxwellErwin Schrödinger
Tags
wave-particle duality uncertainty principle Wave Function Collapse quantum measurement quantum decoherence electromagnetism hydrogen helium carbon
Laws
Heisenberg uncertainty principleCoulomb's lawPlanck–Einstein relationde Broglie formulaCompton effectRydberg formula
Original: arXiv:2505.00872v4 · CC BY · bridge42worlds