“The avalanche multiplication factor is sufficiently high ($G_ ext{av} \approx 1.3 \cdot 10^5$) to convert a mere 5.5 A seed current into macroscopic RE beams of $\approx 0.7$ MA when large amounts of impurities are present.”

“The $πN$ sigma term $σ_{πN}$, which denotes the contribution of explicit symmetry breaking, should deviate from its empirical values at vacuum. Specifically, $σ_{πN}\sim -600$ MeV, rather than $(32-89) m \ MeV$ at vacuum.”

“The paper focuses on developing a new analytical framework based on non-equilibrium quantum field theory to derive effective Fokker-Planck equations for macroscopic quantities of axion domain wall networks.”

“The quantum Fisher information scales as $ \mathcal{F}_Q \sim L^{2p}$ (with L the lattice size and p the order of band touching) and $\mathcal{F}_Q \sim N^2 L^{2p}$ (with N the number of particles).”

“The resulting macroscopic model exhibits memory effects and a nonlinear, time-dependent effective current.”

“The classifier achieves an accuracy of 97.4 percent with strong class wise precision and recall.”

“The paper derives an exact entanglement boundary based on the positivity of the partial transpose, valid in the symmetric resonant limit, and provides an explicit minimum collective fluctuation amplitude required to sustain steady-state entanglement.”

“The study focuses on macroscopic quantum states and quantum phase transitions for a system of N three-level atoms.”

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“The 2025 Nobel Prize in Physics is the presumed subject.”

“The article's focus is on using a two-stream network with global-local feature fusion.”

“Accurate prediction of macroscopic transport from microscopic imaging via critical fractals at the Mott transition”