Beyond the Standard Model: Hunting for Cracks in Spacetime with Particle Collisions

New research explores how high-energy particle collisions can reveal subtle violations of Lorentz invariance, potentially uncovering physics beyond our current understanding.
![The effective coupling [latex]\alpha_{\rm eff}(Q)[/latex]-calculated for [latex]\kappa = 0.534~\rm{GeV}[/latex]-demonstrates a transition between infrared and nonperturbative regimes, and when subjected to ultraviolet completion incorporating heavy quark thresholds, reveals the inherent limitations of any theoretical framework attempting to fully encompass the complexities of strong interactions.](https://arxiv.org/html/2512.23663v1/x2.png)
![The decay pathways of [latex]J/\psi[/latex] particles into [latex]\gamma\chi_{cJ}[/latex] and subsequent decay of [latex]\chi_{cJ}[/latex] into [latex]B\bar{B}[/latex] mesons demonstrate a fundamental process in particle physics, revealing how heavier particles disintegrate into lighter constituents through the emission of photons and the creation of meson-antimeson pairs.](https://arxiv.org/html/2512.22837v1/x1.png)
![Diffraction patterns emerge not as evidence of a system’s control, but as inevitable consequences of wave interference, demonstrating that any attempt to define a precise boundary between wave and void will always yield probabilistic echoes rather than definitive edges, as described by the principle of Huygens-Fresnel [latex] E(r) = \in t_{S} K(\mathbf{r}, \mathbf{r'}) E(\mathbf{r'}) dS [/latex].](https://arxiv.org/html/2512.22155v1/images/diffraction-experiment.png)
![Entanglement entropy in periodically bounded lattices grows linearly with imaginary time τ, driven by contributions localized at corners-specifically, those forming [latex]\frac{\pi}{3}[/latex] and [latex]\frac{2\pi}{3}[/latex] angles-within regions possessing equivalent boundary lengths, despite differing geometries-such as a [latex]\frac{L}{3} \times \frac{2L}{3}[/latex] area contrasted with a [latex]\frac{L}{3} \times L[/latex] one.](https://arxiv.org/html/2512.23361v1/x1.png)

![The squared ground-state wave function, [latex]|\psi\_{\rm g.s.}(x\_{1},x\_{2})|^{2}[/latex], is visualized with parameters set to [latex]m=40[/latex], [latex]R=2[/latex], and [latex]\Lambda=32,64[/latex], demonstrating the spatial distribution of probability density for the system’s fundamental state.](https://arxiv.org/html/2512.22932v1/heatmap_64.png)
![The emergence of nonclassical light in high-order harmonic generation is demonstrated to arise not from the dipole moment itself, but from its nonlinear dependence on the driving field-specifically, a transition from nearly coherent states with constant dipole moments, to squeezed states with linear dependence, and ultimately to states exhibiting negative values in the Wigner function indicative of nonclassicality when the dipole moment contains terms quadratic in the field Ω at the 13th harmonic-given initial conditions of a product state between light and a hydrogen atom in superposition, and laser parameters of [latex]\lambda = 2227[/latex] nm, [latex]T_p = 6[/latex] cycles, and [latex]I = 1 \cdot 10^{13} \text{W/cm}^2[/latex], with a quantization parameter of [latex]\beta = 0.41 \text{au}[/latex].](https://arxiv.org/html/2512.23156v1/x1.png)
![The study demonstrates a quantifiable fidelity-expressed as the Quantum Fisher Information [latex]\mathcal{F}_{Q}[/latex] and the bulk-edge energy gap [latex]\Delta E[/latex]-that scales with system size and particle number as [latex]\mathcal{F}_{Q}\propto N^{2}L^{2p}[/latex], where <i>p</i> represents the order of band touching, revealing how even the most precise measurements are ultimately bound by the fundamental properties of the system under investigation and susceptible to vanishing beyond a critical threshold.](https://arxiv.org/html/2512.23168v1/x2.png)