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Euler-Korteweg vortices: A fluid-mechanical analogue to the Schr\"odinger and Klein-Gordon equations
arXiv:2512.23771v4 Announce Type: replace-cross Abstract: Quantum theory and relativity exhibit several formal analogies with fluid mechanics. This paper extends upon known analogies by showing that under specific assumptions, an Euler-Korteweg vortex model can be cast into equations that are mathematically equivalent to the Schr\"odinger and Klein-Gordon equations.
One-Shot Klein Cutting Planes for Lipschitz Geodesically Convex Optimization in Hyperbolic Space
arXiv:2605.17540v4 Announce Type: replace Abstract: Motivated by the COLT 2023 open problem of Criscitiello, Mart\'inez-Rubio, and Boumal on deterministic first-order methods for Lipschitz geodesically convex optimization on Hadamard manifolds, we study hyperbolic space \[ \HH^d_{-\kappaC^2} =\{X\in\R^{d+1}:\ipL{X}{X}=-1,\ X_0>0\}, \qquad \ip{U}{V}_X=\kappaC^{-2}\ipL{U}{V}. For every geodesically convex $M$-Lipschitz function \[ f:\bar B_{\HH}(x_0,r)\to\R,\qquad s=\kappaC r, \] we give a...
Klein--Gordon and Dirac Oscillators with an Apparent Mass Induced by the Momentum-Space Dual of the Fock--Lorentz Transformations
arXiv:2606.05226v1 Announce Type: new Abstract: We propose a controlled momentum-space dual of the Fock--Lorentz (FL) transformations and use it to derive a deformed relativistic mass shell. Restricting the FL conformal factor to the cosmological-frame world line $\vx=0$, the invariant relation takes the form $(E^{2}-\vp^{2}c^{2})(1+ct/R)^{2}=m_{0}^{2}c^{4}$, which is equivalent to the standard special-relativistic dispersion law with a time-dependent apparent mass $\mapp(t)=m_{0}/(1+ct/R)$....
Celebrity beauty files: K-beauty star Irene Kim says one skincare treatment has been her secret for 13 years
Celebrity beauty files: K-beauty star Irene Kim says one skincare treatment has been her secret for 13 years South Korea’s It girl talks beauty and how her skin journey has changed over the years. From fashion runways and global brand partnerships with Estee Lauder, Calvin Klein and Chanel to television hosting and entrepreneurship, Irene Kim remains one of Korea’s most influential beauty and fashion figures. Her latest venture is Skit, a skincare brand built around simplicity, emotion and...
Collective Dynamics of Vortex Clusters in Compact Fluid Domains: From Pair Interactions to a Quadrupole Description
arXiv:2604.07373v3 Announce Type: replace Abstract: Clusters of co-rotating vortices on compact fluid domains exhibit a simple collective dynamics, combining coherent global rotation with a slow breathing of the cluster size. In this work, we investigate an analytic model of vortex interactions on a doubly periodic inviscid fluid domain, based on an exact representation in terms of the Schottky-Klein prime function and its $q$-representation. The two-vortex problem reduces to a single...
Live: Ponga backs up for Knights after Origin I send-off
Kalyn Ponga of the Maroons is sent from the field by referee Ashley Klein after his tackle on Tolutau Koula of the Blues during game one of the 2026 Men's State of Origin series between New South Wales Blues and Queensland Maroons at Stadium Australia on May 27, 2026 in Sydney, Australia.
PCOS has been officially renamed PMOS, and it’s a momentous move
PCOS will now be known as PMOS (polyendocrine metabolic ovarian syndrome), and for Alice Klein, who has the condition, it's been a long time coming
What network science can tell us about the 2026 World Cup
What network science can tell us about the 2026 World Cup Lisa Lock Scientific Editor Robert Egan Associate Editor Team Australia kicked it long from the goalkeeper. Switzerland took a slower approach and preferred short passes over long drives. Spain, on the other hand, tended to string the ball with sharp, sideways passes across the field.
1-Bit Bonsai Image 4B Image Generation for Local Devices
Introducing 1-bit and Ternary Bonsai Image 4B: Image Generation for Local Devices Today we’re releasing Bonsai Image 4B, a family of compact image-generation models designed to run high-quality diffusion inference on local hardware: from laptops to phones. Bonsai Image 4B comes in two variants: - 1-bit Bonsai Image 4B uses binary {−1, +1} transformer weights with an FP16 group-wise scaling factor, giving 1.125 effective bits per weight. It targets maximum compression and is the right fit...
Future Power Rankings: How all 68 Power 4 college football teams stack up
Projecting a college football program's future is harder than ever. Rosters and fortunes change dramatically and championship pathways are more open than ever. The assets that make a program great in 2026 might not be there in 2027.