The interstellar medium (ISM) of our Galaxy is magnetized, compressible and turbulent, influencing many key ISM properties, like star formation, cosmic ray transport, and metal and phase mixing. Yet, basic statistics describing compressible, magnetized turbulence remain uncertain. Utilizing grid resolutions up to $10,080^3$ cells, we simulate highly-compressible, magnetized ISM-style turbulence with a magnetic field maintained by a small-scale dynamo. We measure two coexisting kinetic energy cascades, $\mathcal{E}_{\rm kin}(k) \propto k^{-n}$, in the turbulence, separating the plasma into scales that are non-locally interacting, supersonic and weakly magnetized $(n=2.01\pm 0.03\approx 2)$ and locally interacting, subsonic and highly magnetized $(n=1.465\pm 0.002\approx 3/2)$, where $k$ is the wavenumber. We show that the $3/2$ spectrum can be explained with scale-dependent kinetic energy fluxes and velocity-magnetic field alignment. On the highly magnetized modes, the magnetic energy spectrum forms a local cascade $(n=1.798\pm 0.001\approx 9/5)$, deviating from any known \textit{ab initio} theory. With a new generation of radio telescopes coming online, these results provide a means to directly test if the ISM in our Galaxy is maintained by the compressible turbulent motions from within it.
Understanding and mitigating measurement systematics in weak lensing (WL) analysis requires large datasets of realistic galaxies with diverse morphologies and colors. Missions like Euclid, the Nancy Roman Space Telescope, and Vera C. Rubin Observatory's Legacy Survey of Space and Time will provide unprecedented statistical power and control over systematic uncertainties. Achieving the stringent shear measurement requirement of $\lvert m \rvert < 10^{-3}$ demands analyzing $10^9$ galaxies. Accurately modeling galaxy morphology is crucial, as it is shaped by complex astrophysical processes that are not yet fully understood. Subtle deviations in shape and structural parameters can introduce biases in shear calibration. The interplay between bulges, disks, star formation, and mergers contributes to morphological diversity, requiring simulations that faithfully reproduce these features to avoid systematics in shear measurements. Generating such a large and realistic dataset efficiently is feasible using advanced generative models like denoising diffusion probabilistic models (DDPMs). In this work, we extend Hubble Space Telescope (HST) data across Euclid's broad optical band using CANDELS and develop a generative AI tool to produce realistic Euclid-like galaxies while preserving morphological details. We validate our tool through visual inspection and quantitative analysis of galaxy parameters, demonstrating its capability to simulate realistic Euclid galaxy images, which will address WL challenges and enhance calibration for current and future cosmological missions.
Cold dark matter halos are expected to be triaxial and often tilted relative to the stellar disk. Stellar streams provide a sensitive tracer of the Milky Way's halo shape, though models for the Galactic potential are typically limited to simple, symmetric functional forms. Here, we measure the Galactic acceleration field along the GD-1 stellar stream using a direct differentiation of the stream's track in phase-space. Using a fully data-driven catalog of stream members from Gaia, SDSS, LAMOST, and DESI, we map the stream in 6D phase-space. We fit splines to the stream track, and infer cylindrical acceleration components $a_R = -2.5 \pm_{0.1}^{0.2}, \ a_z = -1.8\pm 0.1, \ a_\phi = 0.2\pm 0.1~\rm{km \ s^{-1} \ Myr^{-1}}$ at $(R,z,\phi) = (11.9~\rm{kpc}, 7.3~\rm{kpc}, 171.1~\rm{deg})$. We measure mass enclosed within $14~\rm{kpc}$ of $1.4\pm 0.1 \times 10^{11} M_\odot$ and z-axis density flattening of $q_{\rho, z} = 0.81\pm^{0.06}_{0.03}$, both consistent with previous estimates. However, we find a 2$\sigma$ deviation from an axisymmetric acceleration field, which can be explained by a triaxial dark matter halo with axis ratios 1:0.75:0.70. The major axis of the halo is consistent with a tilt of $18~\rm{deg}$ above the Galactic plane in the direction of the Sun. The magnitude and direction of the tilt are consistent with measurements of the Milky Way's stellar halo from Gaia and the H3 survey. A tilted triaxial halo has important consequences for orbit-integration-based studies of the Galaxy, and can be further tested by deriving acceleration constraints from multiple streams.