“The paper proposes novel alternative constraints to limit solution ambiguity and studies their impact when the data are observed perfectly.”

“The resulting formulation is based on a 4D Hodge-Laplacian operator with a spatiotemporal diffusion tensor and convection field, augmented by a small temporal perturbation to ensure nondegeneracy.”

“The dispersive shift and vacuum Rabi splitting emerge from the transcendental eigenvalue equation, with the residues determined by matching to the splitting: $δ_{ge} = 2Lg^2ω_q^2/v^4$, where $g$ is the vacuum Rabi coupling.”

“The observation of a stacked quantum Hall effect (QHE) and a nonlinear Hall effect (NLHE) provides supporting evidence for the anticipated valley contrasted Berry curvature, a typical signature of a spin valley locked state.”

“Cr doping drives a transition to an A-type AFM phase that breaks Kramers spin degeneracy and realizes a g-wave altermagnetic state with large nonrelativistic spin splitting near the Fermi level. Importantly, this spin splitting can be deterministically reversed by polarization switching, enabling electric-field control of altermagnetic electronic structure without reorienting the Neel vector or relying on spin-orbit coupling.”

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“Phonon-induced electronic degeneracy breaking: a SSAdNDP interpretation”

“We present a practical framework, \emph{Inverted Causality Focusing Algorithm} (ICFA), that treats search as a target-conditioned reweighting process.”