When Empty Space Conducts: Unraveling the Klein Paradox

A new analysis of the Klein paradox reveals how constant and pulsed electric fields can induce current flow through what appears to be a vacuum, a consequence of fundamental particle-antiparticle creation.

![Correlation functions for [latex]J/\psi \Lambda[/latex] pairs were obtained, parameterized according to the values detailed in Table 2, to explore the underlying dynamics of this particle system.](https://arxiv.org/html/2512.24247v1/x5.png)
![The residue of a bound-state pole in a six-dimensional system exhibits a dependence on the bound-state mass [latex]m_b^2[/latex], with calculations employing [latex]N_{max} = 8[/latex] and [latex]N_{max} = 10[/latex] demonstrating convergence of the renormalised coupling [latex]g_{ren}[/latex] to a finite value at [latex]m_b^2 = 4[/latex].](https://arxiv.org/html/2512.24474v1/x6.png)

![The study models interacting particles as a dimer of spheres-characterized by radius [latex]a[/latex] and inter-center distance [latex]d[/latex]-and represents their behavior through a two-port equivalent circuit applicable in both full-wave and static regimes, ultimately defining a resonant mode condition where input impedance reaches zero and is sensitive to polarization along the [latex]x[/latex], [latex]y[/latex], and [latex]z[/latex] axes.](https://arxiv.org/html/2512.24104v1/x1.png)

![The study demonstrates that the rescaled root-mean-square velocity of an axion domain wall network evolves predictably with conformal time, indicating a parameter space-where the axion mass [latex]m_a \lesssim 10^8 \text{ eV}[/latex] and the coupling [latex]g_{a\gamma\gamma}[/latex] are relatively small-distinct from previously explored, friction-dominated regimes, as evidenced by concurrent tracking of the rescaled energy density.](https://arxiv.org/html/2512.23775v1/yv_friction.png)
![The non-uniform Rindler spacetime-a non-inertial framework for observers undergoing non-uniform acceleration-is characterized by event horizons and trajectories that generalize those found in uniform acceleration, as depicted in a [latex]\rm{z}-\rm{t}[/latex] plane where red lines delineate horizons, blue lines trace Rindler trajectories, and green lines denote their generalized counterparts.](https://arxiv.org/html/2512.23892v1/Figures/FIG08.png)