The Universe and Its Rules: Does Cosmology Demand Hermitian Quantum Mechanics?
A new analysis reveals that observational data places stringent limits on deviations from Hermiticity in quantum mechanics, impacting our understanding of the universe’s earliest moments and long-term evolution.
![The study demonstrates that near a quantum critical point, Fisher zeros coalesce into expanding closed loops, with the inverse imaginary part of the rightmost zero scaling linearly with [latex]1-g[/latex], and a divergence in the density of states-manifesting as van Hove singularities-occurs as [latex]g[/latex] approaches zero, evidenced by dispersion relations exhibiting a Luttinger-liquid velocity proportional to [latex]\sqrt{1-g^{2}}[/latex], while a small anisotropy introduces a dependence of [latex]1/\beta_{i0} \sim \sqrt{0.99-g^{2}}[/latex] for open zero lines.](https://arxiv.org/html/2602.05899v1/x4.png)
![The study demonstrates that quasiparticle heating remains sustained over time within a narrow measurement bandwidth when [latex]\Delta_{q}[/latex] is tuned near [latex]2t\cos(q-p)-E_{b,q}[/latex] for [latex]q=2[/latex], suggesting a resonant condition maintains energy within the system.](https://arxiv.org/html/2602.05924v1/narrow_counting_heating.png)
![The study identifies a series of avoided crossing points corresponding to quantum resonances-specifically 1:6, 2:14, 1:8, 2:18, and 1:10-and demonstrates that linear extrapolation of these points at [latex]\hbar=0[/latex] aligns with the bifurcation energies of corresponding classical resonances, suggesting a continuous transition between quantum and classical behavior despite inherent complexities in resonance phenomena.](https://arxiv.org/html/2602.04793v2/x5.png)

![The study demonstrates how varying potential functions-specifically even order polynomials, double Gaussians, and cosh functions-influence the probability distribution of synaptic input within double-well energy systems, with simulations under noise conditions [latex]K_n = 0.1[/latex], [latex]0.2[/latex], [latex]0.3[/latex], and [latex]0.4[/latex] revealing corresponding shifts in the extracted inverse temperature.](https://arxiv.org/html/2602.04014v1/Figure2.png)
![The DUNE experiment’s sensitivity to mass ordering is demonstrably affected by supernova distance, with analyses across multiple channels (A, B, C, and their combination) revealing that the inclusion of neutrino entanglement-quantified by entanglement of formation-heightens this sensitivity, a relationship further modulated by variations in survival probability [latex]\Delta p[/latex].](https://arxiv.org/html/2602.04800v1/x38.png)
