7 problems

Atomic spectra provide the physical standards underlying rods and clocks. Weyl's conjecture. Atomic spectra, and hence rods and clocks, should adjust to the radius of the curvature…

Let $G_{BMS}=H\ltimes N$ be the Bondi–Metzner–Sachs group, where $H$ is the proper orthochronous Lorentz group and $N$ is the abelian group of real-valued square-integrable functio…

Let an $\ell$-boson star have $\ell>1$, and consider non-spherical linearized perturbations, meaning perturbations with nonzero total angular momentum sector. Non-spherical instabi…

Let a nonrelativistic $\ell$-boson star have $\ell\geq3$, and let $\lambda=\lambda_R+i\lambda_I$ be an eigenvalue of the linearized perturbation system, where $\lambda_I$ is its im…

Let $\ell$ be a nonnegative integer, and consider the stationary zero modes of the linearized equations with total angular momentum $J\in\{0,1,\ldots,2\ell\}$ and $|M|\leq J$. For…

Let a nonrelativistic $\ell$-boson star be a ground-state configuration, and let stability refer to linear perturbations, including radial and non-spherical modes. Ground-state ℓ-b…

The Weyl field, or equivalently the gravitational scalar field in the relevant formulations, is proposed as a possible field underlying observed dark matter effects. Dark-matter co…