Tootfinder

Accretion of Dark Energy Candidates Following Redshift Parametrization Type Equation of State : Horava-Lifshitz Gravity
Promila Biswas, Sukanya Dutta, Ritabrata Biswas, Farook Rahaman
https://arxiv.org/abs/2506.11173

Accretion of Dark Energy Candidates Following Redshift Parametrization Type Equation of State : Horava-Lifshitz Gravity
In this article, accretion of particular dark energy candidates is studied. These dark energy models possess equation of state dependent on redshift and some free parameters. Central gravitating object for this accretion model is chosen to be the Kehagias Sfetsos black hole sitting in Horava Gravity. Four special redshift parametrization models, viz. Chevallier-Polarski-Linder, Jassal-Bagala-Padmanabhan, Barboza-Alcaniz and Barboza-Alcaniz-Zhu-Silva are picked to study different accretion prope…

Nonrelativistic limit of ground states to $L^2$-supercritical nonlinear Dirac equations
Pan Chen, Yanheng Ding, Qi Guo
https://arxiv.org/abs/2507.11203 htt…

Nonrelativistic limit of ground states to $L^2$-supercritical nonlinear Dirac equations
In this paper, we study the existence and nonrelativistic limit of normalized ground states for the following nonlinear Dirac equation with power-type potentials \begin{equation*} \begin{cases} &-i c\sum\limits_{k=1}^3α_k\partial_k u +mc^2 β{u}- |{u}|^{p-2}{u}=ω{u}, \\ &\displaystyle\int_{\mathbb{R}^3}\vert u \vert^2 dx =1. \end{cases} \end{equation*} We demonstrate the existence of ground states for large $c$ and establish the uniqueness of the associated Lagrange multiplier f…

All Eyes, no IMU: Learning Flight Attitude from Vision Alone
Jesse J. Hagenaars, Stein Stroobants, Sander M. Bohte, Guido C. H. E. De Croon
https://arxiv.org/abs/2507.11302

All Eyes, no IMU: Learning Flight Attitude from Vision Alone
Vision is an essential part of attitude control for many flying animals, some of which have no dedicated sense of gravity. Flying robots, on the other hand, typically depend heavily on accelerometers and gyroscopes for attitude stabilization. In this work, we present the first vision-only approach to flight control for use in generic environments. We show that a quadrotor drone equipped with a downward-facing event camera can estimate its attitude and rotation rate from just the event stream, e…

Large ferromagnetic-like band splitting in ultrathin ${\mathrm{SmC}}_{6}$ films
Hao Zheng, Yifu Xu, Guowei Yang, Ze Pan, Yi Wu, Yuan Zheng, Tulai Sun, Jiefeng Cao, Yi-feng Yang, Ming Shi, Chao Cao, Yang Liu
https://arxiv.org/abs/2507.11396

Large ferromagnetic-like band splitting in ultrathin ${\mathrm{SmC}}_{6}$ films
Two-dimensional (2D) magnetic materials provide a unique platform for exploring quantum phases from magnetic order in reduced dimensions. While there have been extensive studies on 2D magnetic materials based on 3$d$ electrons, experimental studies on 4$f$-electron counterparts are far fewer, particularly on their electronic structure. In this study, we report the successful synthesis of ultrathin ${\mathrm{SmC}}_{6}$ films using molecular beam epitaxy. Utilizing in situ angle-resolved photoemi…

The Potential Danger to Satellites due to Ejecta from a 2032 Lunar Impact by Asteroid 2024 YR4
Paul Wiegert, Peter Brown, Jack Lopes, Martin Connors
https://arxiv.org/abs/2506.11217

The Potential Danger to Satellites due to Ejecta from a 2032 Lunar Impact by Asteroid 2024 YR4
On 2032 December 22 the 60 m diameter asteroid 2024 YR4 has a 4% chance of impacting the Moon. Such an impact would release 6.5 MT TNT equivalent energy and produce a ~1 km diameter crater. We estimate that up to 10^8 kg of lunar material could be liberated in such an impact by exceeding lunar escape speed. Depending on the actual impact location on the Moon as much as 10% of this material may accrete to the Earth on timescales of a few days. The lunar ejecta-associated particle fluence at 0.1 …

Quantum Advantage in Storage and Retrieval of Isometry Channels
Satoshi Yoshida, Jisho Miyazaki, Mio Murao
https://arxiv.org/abs/2507.10784 https://…

Quantum Advantage in Storage and Retrieval of Isometry Channels
Storage and retrieval refer to the task of encoding a quantum channel $Λ$ into a quantum state, known as the program state, such that the channel can later be retrieved. This task is closely related to quantum channel estimation, where multiple queries to $Λ$ are used to prepare a quantum state $ϕ_Λ$ that encodes information about the channel. The channel can then be retrieved by measuring $ϕ_Λ$, following a measure-and-prepare strategy. In this work, we analyze the asymptotic performance…

Space-filling efficiency and optical properties of hemoglycin
Julie E M McGeoch, Malcolm W McGeoch
https://arxiv.org/abs/2507.10612 https://

Space-filling efficiency and optical properties of hemoglycin
The empty, extensive low-density lattice topology of hemoglycin is examined to understand how in space, and possibly as early as 800M years into cosmic time a rod-like polymer of glycine and iron came into dominance. A central question to be answered is whether the hemoglycin rod lattice with diamond 2H symmetry represents the most efficient covering of space by a regular arrangement of identical rods. Starting from the tetrahedral symmetry of every hemoglycin lattice vertex we find that the re…

Adobe reports Q2 revenue up 11% YoY to $5.87B, vs. $5.8B est., Digital Media revenue up 11% to $4.35B, and forecasts Q3 revenue above estimates (Brody Ford/Bloomberg)
https://www.bloomberg.com/news/articles/2025-06-12/ado…

Adobe Posts Strong Outlook, Touting Traction for AI Tools
Adobe Inc. gave a strong sales outlook for the current quarter, quieting investor anxieties that the leader in creative software is falling behind in a competition with AI-focused upstarts.

Some fun facts about #Python limited API / stable ABI.
1. #CPython supports "limited API". When you use it, you get extensions that are compatible with the specified CPython version and versions newer than that. To indicate this compatibility, such extensions use `.abi3.so` suffix (or equivalent) rather than the usual `.cpython-313-x86_64-linux-gnu.so` or alike.
2. The actual support is split between CPython itself and #PEP517 build systems. For example, if you use #setuptools and specify `py_limited_api=` argument to the extension, setuptools will pass appropriate C compiler flags and swap extension suffix. There's a similar support in #meson, and probably other build systems.
3. Except that CPython freethreading builds don't support stable ABI right now, so building with "limited API" triggers an explicit error from the headers. Setuptools have opted for building explicit about this: it emits an error if you try to use `py_limited_api` on a freethreading interpreter. Meson currently just gives the compile error. This implies that package authors need to actively special-case freethreading builds and enable "limited API" conditionally.
4. A some future versions of CPython will support "limited API" in freethreading builds. I haven't been following the discussions closely, but I suspect that it will only be possible when you target that version or newer. So I guess people will need to be building two stable ABI wheels for a time — one targeting older Python versions, and one targeting newer versions plus freethreading. On top of that, all these projects will need to update their "no 'limited API' on freethreading" conditions.
5. And then there's #PyPy. PyPy does not feature a stable ABI, but it allows you to build extensions using "limited API". So setuptools and meson just detect that there is no `.abi3.so` on PyPy, and use regular suffix for the extensions built with "limited API".

Normalized solutions for a Sobolev critical quasilinear Schr\"odinger equation
Yuxin Li, Meijie Yang, Xiaojun Chang
https://arxiv.org/abs/2506.10870 h…

Normalized solutions for a Sobolev critical quasilinear Schrödinger equation
In this paper, we study the existence of normalized solutions for the following quasilinear Schrödinger equation with critical exponent: \begin{equation*} -Δu-uΔ(u^2)+λu=τ|u|^{q-2}u+|u|^{2\cdot2^*-2}u,~~~~x\in\R^N, \end{equation*} under the mass constraint $\int_{\R^N}|u|^2dx=c$ for some prescribed $c>0$. Here $τ\in \mathbb{R}$ is a parameter, $λ\in\R$ appears as a Lagrange multiplier, $N\ge3$, $2^*:=\frac{2N}{N-2}$ and $2