Tootfinder

EU-Zolldeal mit den USA: Finalisierung verzögert sich wegen Streit über DSA
Vor mehr als drei Wochen haben sich die EU und die USA geeinigt, den Handelskonflikt im Grundsatz beizulegen. Ein Abschlussdokument gibt es aber weiter nicht.

‼️Die #Petition
"Mehr Verbraucherschutz vor versteckter Preiserhöhung (sog. Shrinkflation) vom 29.09.2025"
hat bisher 117 Mitzeichnungen.
Es fehlen noch 29883 Unterschriften bis zum 10.12.2025.

"As trading activity spiked on [#Crypto] exchanges and prices whipsawed, multiple centralized platforms suffered glitches. Binance’s site went completely down at one point, and customers reported unexplained account freezes, unsuccessful trades, and automated protections like stop-losses failing to trigger"
Again, of course. People build crypto exchanges because they want to get ric…

Anatomy of a crypto meltdown
October 2025 brought the most dramatic crypto flash crash of all time, but it was only a dress rehearsal for the systemic crisis the industry is building toward.

From Ireland but generally relevant.
The key of course is far fewer cars altogether.
An extra tax on SUVs would reduce deaths on our roads
https://www.echolive.ie/corkviews/arid-41688066.html

An extra tax on SUVs would reduce deaths on our roads

This is a lovely review of my latest Buildings&Cities paper on clinic layouts at Moorfields Eye Hospital NHS Trust
https://sustainableconstructionreview.com/2025/06/12/moorfields-eye-hospital-redesigns-pa…

Moorfields Eye Hospital Redesigns Patient Flow with Architectural Innovation
In the bustling corridors of Moorfields Eye Hospital, a silent revolution is underway, one that could reshape how we think about patient flow and clinic design. At the heart of this transformation is…

Testimony from an Ogyen Kunzang Choling (OKC) Survivor https://buddhism-controversy-blog.com/2017/10/29/testimony-from-an-ogyen-kunsang-choling-okc-survivor/

Testimony from an Ogyen Kunzang Choling (OKC) Survivor
The following comment was posted by a Buddhist as a comment after having shared Ben’s powerpoint presentation “40 Years of Abuse in the Name of Dharma by ex-OKC born-kids” on Facebook. Ben wh…

KI-Agenten — Tech-Expertin @… warnt vor Sicherheitsrisiken
Hotels buchen, Freunden schreiben, mit Kreditkarte zahlen: Autonome KI-Agenten könnten uns bald viele Alltagsaufgaben abnehmen. Doch die smarten Helfer gefährden Datensicherheit und Privatsphäre, warnt eine prominente Kritikerin der US-Tech-Konzerne.
🔊

US-Tech-Expertin Meredith Whittaker warnt: KI-Agenten sind ein Sicherheitsrisiko
Hotels buchen, Freunden schreiben, mit Kreditkarte zahlen: KI-Agenten sollen uns Alltagsaufgaben abnehmen. Doch sie gefährden Datensicherheit und Privatsphäre.

The best way to think of "stakeholders" is to imagine people holding wooden stakes.

Trump has been an outspoken critic of Biden’s use of the autopen to conduct executive business,
going as far as to display a picture of one such device in place of a portrait of his predecessor in a new “Presidential Walk of Fame” he created along the West Wing colonnade.
His Republican allies in Congress last month released a blistering critique of Biden’s alleged “diminished faculties” and mental state during his term that ranked the Democrat’s use of the autopen among “the gr…

Justice Department quietly replaced 'identical' Trump signatures on recent pardons
President Donald Trump is facing new scrutiny over the use of a replicated signature on several recent pardons. Online commenters noticed identical signatures on clemency documents for Darryl Strawberry, Glen Casada, and Michael McMahon. Two forensic experts told The Associated Press on Friday that the signatures were identical. The administration replaced the images on Thursday with new documents showing varied signatures. The Justice Department attributed the replacements to a “technical er…

Wir sitzen eben nicht alle im selben Zug, Anke Engelke.

💢 Why is open source hardware not working for 3D printers?
https://blog.adafruit.com/2025/07/30/why-is-open-source-hardware-not-working-for-3d-printers/

Guten Morgen, Blutsverwandte.

Stop spinning your wheels trying to understand those complex Excel formulas.
Seriously. Let AI do it for you. 🤖
Microsoft Copilot now gives instant, plain English explanations right inside your spreadsheet. It’s a massive time-saver for anyone working with complex data... Or even just someone new to Excel altogether.
Could this be the best Excel update in years?
See the game-changing feature in action in my new video:

JDK 26: The new features in #Java 26
https://www.infoworld.com/article/4050993/jdk-26-the-new-features-in-java-26.html

Opposition Filed Against DOJ Effort to Strike Context from Complaint About Qatar’s ‘Gifted’ Jet to Trump Administration - American Oversight
https://americanoversight.org/opposition-filed-against-doj-effort-to-strike-context-from-complaint-about-qatars-gifted-jet-to-trump-administration/

The half-glass is half-full of glass shards.
NO, don't drink out of it! It's an art project.
#Suffer for your #Art #AvantGarde

29: with something burning.
#30AlbumCovers

29: with something burning.
#30AlbumCovers

🇺🇦 #NowPlaying on KEXP's #MidnightInAPerfectWorld
Kalione:
🎵 fly away
#Kalione
https://open.spotify.com/track/1KVO3UcXiMLpW6g1ZFV0ja

What we learned from NFL preseason games: Jaxson Dart shined, a Colts QB call is coming https://www.nytimes.com/athletic/6557904/2025/08/18/nfl-preseason-takeaways-jaxson-dart-colts-qb-2025/

update: I am actually awake now

Anna Maria Vassa was the 4-year-old daughter of Olaudah Equiano, also known as Gustavus Vassa. Her grave marker has recently been rediscovered at St Andrew’s Churchyard, Chesterton, Cambridge, UK. There is a commemorative event in the churchyard on Saturday, 18 October at 12 noon. #Equiano #Vassa

Dem ist nichts hinzuzufügen: Klöckner setzt taz mit Nius gleich. –
Die taz hat News für Klöckner.
https://taz.de/Kloeckner-setzt-taz-mit-Nius-gleich/!6107374/

Towards Efficient Hash Maps in Functional Array Languages
William Henrich Due, Martin Elsman, Troels Henriksen
https://arxiv.org/abs/2508.11443 https://arx…

Towards Efficient Hash Maps in Functional Array Languages
We present a systematic derivation of a data-parallel implementation of two-level, static and collision-free hash maps, by giving a functional formulation of the Fredman et al. construction, and then flattening it. We discuss the challenges of providing a flexible, polymorphic, and abstract interface to hash maps in a functional array language, with particular attention paid to the problem of dynamically sized keys, which we address by associating each hash map with an arbitrary context. The al…

Chern number identities on compact complex surfaces and applications
Xiaokui Yang
https://arxiv.org/abs/2508.11171 https://arxiv.org/pdf/2508.11171

Chern number identities on compact complex surfaces and applications
In this paper, we establish Chern number identities on compact complex surfaces. As an application, we prove that if $(M,g)$ is a compact Riemannian four-manifold with constant scalar curvature and admits a compatible complex structure $J$ such that the complexified Ricci curvature is a non-positive $(1,1)$ form, then $M$ is a Kähler surface.

So eine rede von der linken im bundestag möchte ich auch von anderen parteien hören
https://youtu.be/Ih9HYsluZu4?si=CPLDS3a7TYqOhNqR
Sorry, das es ein yt link ist, aber bin nur ein blöder behinderter und kann nichts anderes ....

Cross-Granularity Hypergraph Retrieval-Augmented Generation for Multi-hop Question Answering
Changjian Wang, Weihong Deng, Weili Guan, Quan Lu, Ning Jiang
https://arxiv.org/abs/2508.11247

Cross-Granularity Hypergraph Retrieval-Augmented Generation for Multi-hop Question Answering
Multi-hop question answering (MHQA) requires integrating knowledge scattered across multiple passages to derive the correct answer. Traditional retrieval-augmented generation (RAG) methods primarily focus on coarse-grained textual semantic similarity and ignore structural associations among dispersed knowledge, which limits their effectiveness in MHQA tasks. GraphRAG methods address this by leveraging knowledge graphs (KGs) to capture structural associations, but they tend to overly rely on str…

[2025-08-18 Mon (UTC), 1 new article found for cs.GT Computer Science and Game Theory]
toXiv_bot_toot

Uniform convergence for Gaussian kernel ridge regression
Paul Dommel, Rajmadan Lakshmanan
https://arxiv.org/abs/2508.11274 https://arxiv.org/pdf/2508.11274…

Uniform convergence for Gaussian kernel ridge regression
This paper establishes the first polynomial convergence rates for Gaussian kernel ridge regression (KRR) with a fixed hyperparameter in both the uniform and the $L^{2}$-norm. The uniform convergence result closes a gap in the theoretical understanding of KRR with the Gaussian kernel, where no such rates were previously known. In addition, we prove a polynomial $L^{2}$-convergence rate in the case, where the Gaussian kernel's width parameter is fixed. This also contributes to the broader underst…

[2025-08-18 Mon (UTC), 12 new articles found for gr-qc General Relativity and Quantum Cosmology]
toXiv_bot_toot

Dependence of the recoherence times and recoherence increments on the state of phonon bath in a single qubit dephasing model
V. V. Ignatyuk, Ch. Samorodov
https://arxiv.org/abs/2508.11606

Dependence of the recoherence times and recoherence increments on the state of phonon bath in a single qubit dephasing model
The recoherence times $t^*$ and the maximum values of the recoherence increments $γ_{\rm extr}$ are studied as functions of the bath parameters for a single qubit dephasing model, prepared initially by a special kind of the non-selective measurements. The recoherence/decoherence events (RDE), occurring at the initial stage of the system evolution, are found to be both similar and different from the system dynamics at large times. For instance, in contrast to the RDE observed on large time scal…

Artificial Intelligence in Breast Cancer Care: Transforming Preoperative Planning and Patient Education with 3D Reconstruction
Mustafa Khanbhai, Giulia Di Nardo, Jun Ma, Vivienne Freitas, Caterina Masino, Ali Dolatabadi, Zhaoxun "Lorenz" Liu, Wey Leong, Wagner H. Souza, Amin Madani
https://arxiv.org/abs/2509.12242

Artificial Intelligence in Breast Cancer Care: Transforming Preoperative Planning and Patient Education with 3D Reconstruction
Effective preoperative planning requires accurate algorithms for segmenting anatomical structures across diverse datasets, but traditional models struggle with generalization. This study presents a novel machine learning methodology to improve algorithm generalization for 3D anatomical reconstruction beyond breast cancer applications. We processed 120 retrospective breast MRIs (January 2018-June 2023) through three phases: anonymization and manual segmentation of T1-weighted and dynamic contras…

🇺🇦 Auf radioeins läuft...
Phyllis Dillon:
🎵 Perfidia
#NowPlaying #PhyllisDillon
https://deliciosacumbia.bandcamp.com/track/phyllis-dillon-perfidia
https://open.spotify.com/track/2XXZXiDThAl7oq9Yq1FQmT

"The beautiful thing about learning is nobody can take it away from you."
"I don't think it's meant for man to know everything at once."
"The blues are three L's - living , loving and hopefully, laughing."
"God made Blues right after he made woman."
-B. B. King (born today in 1925)

I joined the BC Green party because there's no other option around here if you care about the earth. My first ever political convention!
@…
#bcgreen #GreenParty

Yellow/Amber alert for cold across England.
https://ukhsa-dashboard.data.gov.uk/weather-health-alerts?v=map&type=cold

Heute vor 68 Jahren: Am 18. August 1957 fand der #Atomtest "Shasta" (15/29) im Rahmen der Operation #Plumbbob in Nevada statt. Sie beinhaltete die höchsten Turmtests in den #USA, umfasste Luftab…

beating github at their own game on their own field: check

Période : en semaine de 10h20 Š 15h25.
Dates : du lundi 04 au vendredi 29 août, sauf les jours fériés.
Le trafic est interrompu entre Melun et Montereau via Héricy.
Un service de bus de remplacement est mis en place, avec desserte des gares intermédiaires.
Les horaires du calculateur d'itinéraire tiennent compte des travaux.
Motif : travaux sur le réseau ferroviaire.

@… in fairness, even my basic Linux/BSD servers do this too, with supervisord.

Perspectives, Needs and Challenges for Sustainable Software Engineering Teams: A FinServ Case Study
Satwik Ghanta, Peggy Gregory, Gul Calikli
https://arxiv.org/abs/2509.12466 ht…

Perspectives, Needs and Challenges for Sustainable Software Engineering Teams: A FinServ Case Study
Sustainable Software Engineering (SSE) is slowly becoming an industry need for reasons including reputation enhancement, improved profits and more efficient practices. However, SSE has many definitions, and this is a challenge for organisations trying to build a common and broadly agreed understanding of the term. Although much research effort has gone into identifying general SSE practices, there is a gap in understanding the sustainability needs of specific organisational contexts, such as fi…

Trotz wachsender #EAuto-Verkäufe greifen viele weiter zu #Verbrennern.
Ein Grund ist das Gefühl, mit dem E-Auto an "Freiheit" zu verlieren, vor allem bei spontanen Reisen. Dabei verbessert sich die

E-Autos versus Verbrenner: Der gefühlte Freiheitsverlust
Die Absatzzahlen von E-Autos steigen, aber die meisten Käu­fe­r:in­nen entscheiden sich weiter für Verbrenner. Das hat nicht nur mit dem Preis zu tun.

Gallery: A derby to demolish in Trumansburg
#trumansburg

Gallery: A derby to demolish in Trumansburg
ITHACA, N.Y. — The annual Trumansburg Fair concluded Sunday with the Demolition Derby final, the yearly tradition of finding out which cars can survive the most punishment. The event capped […]

The years of a man's life are three score and ten.
I've done my time; I've served my sentence. Today is the day on which, for most of the past thirty years, I've planned to make my farewells and exit stage left, ideally not pursued by a bear.
But the best laid plans of meece and men gang of agley, especially when there's a goblin involved.
So I'm afraid I shall now be sticking around a while longer, to pester and provoke you all.
Here's to …

OJ Simpson estate agrees to $57M payout to father of Ron Goldman 29 years after his son died in notorious double murder: report | The Independent
https://www.the-independent.com/news/world/americas/crime/oj-simpson-estate-ron-goldman-father-b2866319.html

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Pianoman:
🎵 Pasion - Alex Kassian's Mandarine Dream Mix
#Pianoman
https://planetstrangelove.bandcamp.com/track/pasion-alex-kassians-mandarine-dream-mix
https://open.spotify.com/track/1pI5SsDHfVMW78lpEnpZqZ

[2025-08-18 Mon (UTC), 10 new articles found for math.DG Differential Geometry]
toXiv_bot_toot

[2025-09-18 Thu (UTC), 4 new articles found for cs.PL Programming Languages]
toXiv_bot_toot

Echoes and quasinormal modes of asymmetric black bounces
Alana C. L. Santos, Leandro A. Lessa, Roberto V. Maluf, Gonzalo J. Olmo
https://arxiv.org/abs/2508.11096 https://…

Echoes and quasinormal modes of asymmetric black bounces
We study quasinormal modes and echoes of symmetric and asymmetric black bounce solutions generated by anisotropic fluids within the framework of general relativity. We derive the effective potential governing massless scalar fields and compute the corresponding quasinormal mode spectra using three independent methods: sixth-order WKB, Pöschl-Teller and time-domain evolution. Our results show that symmetric black bounce configurations with horizons yield a standard single-barrier potential, whi…

Can We Tell if ChatGPT is a Parasite? Studying Human-AI Symbiosis with Game Theory
Jiejun Hu-Bolz, James Stovold
https://arxiv.org/abs/2508.11359 https://a…

Can We Tell if ChatGPT is a Parasite? Studying Human-AI Symbiosis with Game Theory
This work asks whether a human interacting with a generative AI system can merge into a single individual through iterative, information-driven interactions. We model the interactions between a human, a generative AI system, and the human's wider environment as a three-player stochastic game. We use information-theoretic measures (entropy, mutual information, and transfer entropy) to show that our modelled human and generative AI are able to form an aggregate individual in the sense of Krakauer…

Surpassing Carnot efficiency with relativistic motion
Dimitris Moustos, Obinna Abah
https://arxiv.org/abs/2508.11554 https://arxiv.org/pdf/2508.11554

Surpassing Carnot efficiency with relativistic motion
Relativistic thermal devices offer a unique platform for understanding the interplay between motion, quantum fields, and thermodynamics, revealing phenomena inaccessible to stationary systems. We consider a two-qubit SWAP heat engine whose working medium consists of inertially moving Unruh-DeWitt qubit detectors, each coupled to a scalar quantum field in thermal equilibrium at a distinct temperature. Relativistic motion causes the qubits to perceive frequency-dependent effective temperatures th…

🇺🇦 Auf radioeins läuft...
Wet Leg:
🎵 pokemon
#NowPlaying #WetLeg
https://wetleg.bandcamp.com/track/pokemon
https://open.spotify.com/track/0XMO3PiZ4gtXRvIJCgHsLl

There's a #Pride event scheduled in one of the local parks. Some folks don't like it and started a petition at Change.org to cancel the event.
Change.org isn't having it.
The event is Saturday at Honor Heights Park, if you're interested.

#Mariners got the #BlueJays right where they want ’em.
#mlb

Spectral isoperimetric inequalities for a class of mixed eigenvalue problems of the Laplacian on triangles and trapezoids
Ruifeng Chen, Jing Mao
https://arxiv.org/abs/2508.11135

Spectral isoperimetric inequalities for a class of mixed eigenvalue problems of the Laplacian on triangles and trapezoids
In this paper, under suitable geometric constraints, we have successfully obtained characterizations for the extremum values of the functional of mixed eigenvalues of the Laplacian on triangles (or trapezoids) in the Euclidean plane $\mathbb{R}^2$.

Inference with finite time series II: the window strikes back
Colm Talbot, Sylvia Biscoveanu, Aaron Zimmerman, Tomasz Baka, Will M. Farr, Jacob Golomb, Charlie Hoy, Andrew Lundgren, Jacopo Tissino, Michael J. Williams, John Veitch, Aditya Vijaykumar
https://arxiv.org/abs/2508.11091

Inference with finite time series II: the window strikes back
Smooth window functions are often applied to strain data when inferring the parameters describing the astrophysical sources of gravitational-wave transients. Within the LIGO-Virgo-KAGRA collaboration, it is conventional to include a term to account for power loss due to this window in the likelihood function. We show that the inclusion of this factor leads to biased inference. The simplest solution to this, omitting the factor, leads to unbiased posteriors and Bayes factor estimates provided th…

Random Unitaries in Constant (Quantum) Time
Ben Foxman, Natalie Parham, Francisca Vasconcelos, Henry Yuen
https://arxiv.org/abs/2508.11487 https://arxiv.or…

Random Unitaries in Constant (Quantum) Time
Random unitaries are a central object of study in quantum information, with applications to quantum computation, quantum many-body physics, and quantum cryptography. Recent work has constructed unitary designs and pseudorandom unitaries (PRUs) using $Θ(\log \log n)$-depth unitary circuits with two-qubit gates. In this work, we show that unitary designs and PRUs can be efficiently constructed in several well-studied models of $\textit{constant-time}$ quantum computation (i.e., the time comple…

🇺🇦 Auf radioeins läuft...
Status Quo:
🎵 You're In The Army Now
#NowPlaying #StatusQuo
https://majorvsminor.bandcamp.com/track/youre-in-the-army-now-status-quo-major-key-rework
https://open.spotify.com/track/3rINKmrSbky6jUVEvNtIX8

Replaced article(s) found for cs.GT. https://arxiv.org/list/cs.GT/new
[1/1]:
- Von Neumann's minimax theorem through Fourier-Motzkin elimination
Mark Voorneveld

Parallelizable Feynman-Kac Models for Universal Probabilistic Programming
Michele Boreale (University of Florence), Luisa Collodi (University of Florence)
https://arxiv.org/abs/2509.14092

Parallelizable Feynman-Kac Models for Universal Probabilistic Programming
We study provably correct and efficient instantiations of Sequential Monte Carlo (SMC) inference in the context of formal operational semantics of Probabilistic Programs (PPs). We focus on universal PPs featuring sampling from arbitrary measures and conditioning/reweighting in unbounded loops. We first equip Probabilistic Program Graphs (PPGs), an automata-theoretic description format of PPs, with an expectation-based semantics over infinite execution traces, which also incorporates trace weigh…

Cohomologically Calibrated Affine Connections and Forced Irreducibility
Alexander Pigazzini, Magdalena Toda
https://arxiv.org/abs/2508.11024 https://arxiv.…

Cohomologically Calibrated Affine Connections and Forced Irreducibility
We establish a principle of forced geometric irreducibility on product manifolds. We prove that for any product manifold $M=M_1\times M_2$, a cohomologically calibrated affine connection, $\nabla^{\mathcal{C}}$, is necessarily holonomically irreducible, provided its calibration class $[ω] \in H^3(M;\mathbb{R})$ is mixed. The core of the proof relies on Hodge theory; we show that the algebraic structure of the harmonic part of the torsion generates non-zero off-diagonal components in the full R…

Quantum-Corrected Thermodynamics and Plasma Lensing in Non-Minimally Coupled Symmetric Teleparallel Black Holes
Erdem Sucu, \.Izzet Sakall{\i}, \"Ozcan Sert, Yusuf Sucu
https://arxiv.org/abs/2508.11076

Quantum-Corrected Thermodynamics and Plasma Lensing in Non-Minimally Coupled Symmetric Teleparallel Black Holes
We investigate the thermodynamic and optical signatures of electrically charged black holes (BHs) in symmetric teleparallel gravity (STPG) with non-minimal electromagnetic coupling, incorporating quantum corrections and plasma dispersion effects. The BH solution, characterized by a coupling parameter $k$, generalizes the Reissner-Nordström spacetime through power-law modifications to electromagnetic terms in the metric function. We implement exponential corrections to the Bekenstein-Hawking en…

🇺🇦 Auf radioeins läuft...
Broken Bells:
🎵 The High Road
#NowPlaying #BrokenBells
https://daveecho.bandcamp.com/track/broken-bells-the-high-road-dave-echo-mini-remix
https://open.spotify.com/track/5cwN1htZyoWqZCc33f3RfE

Functoriality of bornological groupoid convolution
David Aretz, Christian Blohmann
https://arxiv.org/abs/2508.11005 https://arxiv.org/pdf/2508.11005…

Functoriality of bornological groupoid convolution
We show that the complete bornological convolution algebras of Lie groupoids and convolution bimodules of groupoid bibundles define a monoidal functor from the 2-category of differentiable stacks to the Morita 2-category of complete bornological algebras. The convolution algebras are generally non-unital, but are shown to possess one-sided approximate units such that the multiplication operators Mackey converge in the functional bornology of endomorphisms. This implies that the convolution alge…

Probing phase transitions and microscopic interactions in quasi-topological black holes
Apurba Tiwari, Randeep Kaur, Aruri Devaraju, Jaya Prakash Kode, Apparao Damarasingu, Silamanthula Hari Krishna, Akshay Gharat
https://arxiv.org/abs/2508.10958

Probing phase transitions and microscopic interactions in quasi-topological black holes
In this paper, we examine the thermodynamic geometry of four-dimensional quasi-topological black holes by computing the Ruppeiner scalar curvature R which serves as an empirical tool to describe the nature of interactions among black hole microstructures. In four dimensions, we write novel black hole solutions within the framework of generalized quasi-topological gravity, extended through a fundamental p-form field. Temperature, entropy, and thermodynamic volume are explicitly expressed using t…

Geometry of left-invariant vector fields on Lie groups
M. L. Foka, R. P. Nimpa, M. B. N. Djiadeu
https://arxiv.org/abs/2508.11440 https://arxiv.org/pdf/250…

Geometry of left-invariant vector fields on Lie groups
This paper examines the geometry of left-invariant vector fields on five-dimensional, simply connected, nilpotent Lie groups equipped with left-invariant Riemannian metrics. Using the canonical identification between the Lie algebra and the space of left-invariant vector fields, we derive algebraic characterizations for Killing, one-harmonic Killing, conformal, and concurrent vector fields. Employing a classification of these nilpotent Lie algebras into ten canonical types, we perform a case-by…

The fundamental physical importance of generic off-diagonal solutions and Grigori Perelman entropy in the Einstein gravity theory
Sergiu I. Vacaru, El\c{s}en V. Veliev
https://arxiv.org/abs/2508.10939 …

The fundamental physical importance of generic off-diagonal solutions and Grigori Perelman entropy in the Einstein gravity theory
The gravitational field equations in general relativity (GR) consist of a sophisticated system of nonlinear partial differential equations. Solving such equations in some generic off-diagonal forms is usually a hard analytic or numeric task. Physically important solutions in GR were constructed using a diagonal ansatz for metrics with a maximum of 4 independent coefficients. The Einstein equations can be solved in exact or parametric forms determined by some integration constants for correspond…

Geometry of Clairaut Riemannian warped product submersions
Arkadeepta Roy, Kiran Meena, Hemangi Madhusudan Shah
https://arxiv.org/abs/2508.11413 https://ar…

Geometry of Clairaut Riemannian warped product submersions
In this paper, we introduce and study the concept of \textit{Clairaut Riemannian warped product submersions} between Riemannian warped product manifolds. By generalizing the notion of Clairaut Riemannian submersions to the setting of Riemannian warped product submersions, we define such submersions via a warping function satisfying a Clairaut relation along geodesics. We establish necessary and sufficient conditions under which a Riemannian warped product submersion satisfies the Clairaut condi…

Relativistic compact stars coupled with dark energy in Heintzmann spacetime
Susmita Sarkar, Nayan Sarkar
https://arxiv.org/abs/2508.10930 https://arxiv.org…

Relativistic compact stars coupled with dark energy in Heintzmann spacetime
The literature suggests that dark energy is responsible for the accelerating expansion of the universe due to its negative pressure, therefore, dark energy can be used as a possible option to prevent the gravitational collapse of compact objects into singularities. In this regard, there is a great possibility that dark energy can interact with the compact stellar matter configuration [Phys. Rev. D 103, 084042 (2021)]. In this article, we introduce a physically viable model for celestial compact…

Why Diffeology?
Patrick Iglesias-Zemmour
https://arxiv.org/abs/2508.11264 https://arxiv.org/pdf/2508.11264

Why Diffeology?
Diffeology extends differential geometry to spaces beyond smooth manifolds. This paper explores diffeology's key features and illustrates its utility with examples including singular and quotient spaces, and applications in symplectic geometry and prequantization. Diffeology provides a natural and effective framework for handling complexities from singularities and infinite-dimensional settings.

Replaced article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[1/1]:
- Shadows of generalised Hayward spacetimes : in vacuum and with plasma
Suvikranth Gera, Saurabh Kumar, Poulami Dutta Roy, Sayan Chakrabarti

Poincar\'{e} Polynomials and Curvature Operators of Symmetric Spaces
Peter Petersen, James Stanfield
https://arxiv.org/abs/2508.11236 https://arxiv.org…

Poincaré Polynomials and Curvature Operators of Symmetric Spaces
We compute explicit formulas for the curvature operators and Poincaré polynomials of all compact irreducible symmetric spaces. We can easily derive the Poincaré polynomials using quantum numbers, giving a formula that mirrors the known formula for the Euler characteristic. For the curvature operators, we show that their maximum eigenvalue is always bounded above by the Einstein constant, with equality attained precisely by the Hermitian symmetric spaces.

Crosslisted article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[1/1]:
- Inflationary Models with Gauss-Bonnet Coupling in Light of ACT Observations
Yigan Zhu, Qing Gao, Yungui Gong, Zhu Yi

Einstein manifolds under cone conditions for the curvature operator of the second kind
Haiqing Cheng, Kui Wang
https://arxiv.org/abs/2508.11226 https://arx…

Einstein manifolds under cone conditions for the curvature operator of the second kind
It is established in [6, 14, 23] that any closed Einstein manifold with two-nonnegative curvature operator of the second kind is either flat or a round sphere. In this paper, we refine this result by relaxing the curvature condition to a cone condition (strictly weaker than two nonnegativity) proposed by Li [18]. Precisely, we prove that any closed Einstein manifold of dimension $n=4$ or $n=5$ or $n\ge 8$, if the curvature operator of the second kind $\mathring{R}$ satisfies \begin{align*} (�…

Laser Interferometer Lunar Antenna (LILA): Advancing the U.S. Priorities in Gravitational-wave and Lunar Science
Karan Jani, Matthew Abernathy, Emanuele Berti, Valerio Boschi, Sukanya Chakrabarti, Alice Cocoros, John W. Conklin, Teviet Creighton, Simone Dell'Agnello, Jean-Claude Diels, Stephen Eikenberry, T. Marshall Eubanks, Kiranjyot Gill, Jonathan E. Grindlay, Kris Izquierdo, Jaesung Lee, Abraham Loeb, Philippe Lognonn\'e, Francesco Longo, Manuel Pichardo Marcano, Mark Panni…

Laser Interferometer Lunar Antenna (LILA): Advancing the U.S. Priorities in Gravitational-wave and Lunar Science
The Laser Interferometer Lunar Antenna (LILA) is a next-generation gravitational-wave (GW) facility on the Moon. By harnessing the Moon's unique environment, LILA fills a critical observational gap in the mid-band GW spectrum ($0.1 - 10$ Hz) between terrestrial detectors (LIGO, Virgo, KAGRA) and the future space mission LISA. Observations enabled by LILA will fundamentally transform multi-messenger astrophysics and GW probes of fundamental physics. LILA will measure the lunar deep interior bett…

Replaced article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/1]:
- Filling Riemann surfaces by hyperbolic Schottky manifolds of negative volume
Tommaso Cremaschi, Viola Giovannini, Jean-Marc Schlenker

Quest for particles production in the plane gravitational wave spacetime
Nail Khusnutdinov
https://arxiv.org/abs/2508.11558 https://arxiv.org/pdf/2508.1155…

Quest for particles production in the plane gravitational wave spacetime
Massless vector and scalar Green's functions are obtained in closed form for a plane gravitational wave spacetime using three independent methods: direct solution of the Green-function equation and construction via the DeWitt and Hadamard recursive schemes. The results coincide exactly with the DeWitt--Schwinger expansion, indicating no massless particles production in this background. Contrasting interpretations, based on Bogolyubov coefficient calculations predicting massless particle creatio…

Crosslisted article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/1]:
- Learning with Confidence
Oliver Ethan Richardson
https://

Assessing the stability of ultracompact spinning boson stars with nonlinear evolutions
Tamara Evstafyeva, Nils Siemonsen, William E. East
https://arxiv.org/abs/2508.11527 https:…

Assessing the stability of ultracompact spinning boson stars with nonlinear evolutions
We reinvestigate the stability properties of ultracompact spinning boson stars with a stable light ring using fully nonlinear 3+1 and 2+1 numerical relativity simulations and two different formulations of the Einstein equations. We find no evidence of an instability on timescales of $t μ\sim 10^4$ (in units of the scalar mass), when allowing the star to be perturbed either solely by discretization error or by imposing various types of perturbations to our initial data. We find that the initial…

BRIDGES Lectures: Flows of geometric structures, especially $\mathrm{G}_2$-structures
Spiro Karigiannis
https://arxiv.org/abs/2508.11604 https://arxiv.org/…

BRIDGES Lectures: Flows of geometric structures, especially $\mathrm{G}_2$-structures
The BRIDGES meeting in gauge theory, extremal structures, and stability was held June 2024 at l'Institut d'Études Scientifiques de Cargèse in Corsica, organized by Daniele Faenzi, Eveline Legendre, Eric Loubeau, and Henrique Sá Earp. The first week was a summer school consisting of four independent but related lecture series by Oscar García Prada, Spiro Karigiannis, Laurent Manivel, and Ruxandra Moraru. The present document consists of notes for the lecture series by Spiro Karigiannis on "F…

ACT inflation and its influence on reheating era in Einstein-Gauss-Bonnet gravity
Sergei D. Odintsov, Tanmoy Paul
https://arxiv.org/abs/2508.11377 https://…

ACT inflation and its influence on reheating era in Einstein-Gauss-Bonnet gravity
We investigate the observational viability of non-minimally coupled scalar-Einstein-Gauss-Bonnet (GB) gravity, during inflation and post-inflationary reheating dynamics, from the perspective of the latest ACT-DR6 combined with the Planck 2018 and BAO data. It turns out that the ACT result considerably affects the inflationary e-fold number compared to the case where only Planck 2018 data is taken into account. The viable parameter spaces corresponding to the inflationary ACT-DR6+Planck18+BAO su…

Einstein's Equations in Electromagnetic Media
Eren Erberk Erkul, Ulf Leonhardt
https://arxiv.org/abs/2508.11300 https://arxiv.org/pdf/2508.11300…

Einstein's Equations in Electromagnetic Media
In this paper, Plebanski's 1960 mapping is extended to encode the full Einstein system in an electromagnetic medium. This is achieved by identifying transformation parameters in terms of the ADM constraint and evolution equations, and subsequently applying the mapping to the entire system. These transformed equations are then linearized in vacuum to derive gravitational-wave analogues as perturbations within the optical medium.

Topological Data Analysis in Finsler Spaces
Rafael Cavalcanti, Nelson Leal, Serafim Rodrigues, Danilo Barros, Mathieu Desroches
https://arxiv.org/abs/2509.12660 https://

Topological Data Analysis in Finsler Spaces
We introduce a new approach to Topological Data Analysis (TDA) based on Finsler metrics and we also generalize the classical concepts of Vietoris-Rips and Cech complexes within this framework. In particular, we propose a class of directionally dependent Finsler metrics and establish key results demonstrating their relevance to TDA. Moreover, we show that several Information Theoretic perspectives on TDA can often be recovered through the lens of Finsler geometry.

Theoretical Detailed Analyses for DC readout and a Fabri-P\'erot gravitational-wave detector
Kouji Nakamura
https://arxiv.org/abs/2508.11098 https://ar…

Theoretical Detailed Analyses for DC readout and a Fabri-Pérot gravitational-wave detector
The quantum expectation value and the stationary noise spectral density for a Fabri-Pérot gravitational-wave detector with a DC readout scheme are discussed in detail only through the quantum electrodynamics of lasers and the Heisenberg equations of mirrors' motion. We demonstrate that the initial conditions of the mirrors' motion concentrate around the fundamental frequency of the pendulum and are not related to the frequency range of our interest. Although in the ideal case, there is a conse…

[2025-09-17 Wed (UTC), 6 new articles found for math.DG Differential Geometry]
toXiv_bot_toot

Failure of Lichnerowicz-type result in parabolic geometries of real rank at least $3$
Toby Aldape
https://arxiv.org/abs/2509.12542 https://arxiv.org/pdf/25…

Failure of Lichnerowicz-type result in parabolic geometries of real rank at least $3$
Given a Yamaguchi nonrigid parabolic model geometry $(G,P)$ with $G$ simple of real rank at least $3$, we use techniques developed by Erickson to establish the existence of closed, nonflat, essential, regular, normal Cartan geometries modeled on $(G,P)$. Yamaguchi nonrigidity is a necessary condition for admitting nonflat, regular, normal examples. This rules out Lichnerowicz-type conjectures for these model geometries.

Distorted black ring with rotation on the two-sphere
Matin Tavayef, Shohreh Abdolrahimi, Ivan Booth, Hari Kunduri
https://arxiv.org/abs/2509.12332 https://…

Distorted black ring with rotation on the two-sphere
We construct a stationary black ring spacetime with rotation only along the $S^2$ direction that is free of conical singularities. We use a solution-generating technique to add external gravitational fields and show these can be used to remove conical singularities from an asymptotically flat black ring with a rotating $S^2$.

Radial Oscillations of Viscous Neutron Stars: Zero Diffusion Case
Raissa F. P. Mendes, Amanda Guerrieri, Jo\~ao V. M. Muniz, Gabriel S. Rocha, Gabriel S. Denicol
https://arxiv.org/abs/2509.12330

Radial Oscillations of Viscous Neutron Stars: Zero Diffusion Case
The spectrum of radial oscillations of neutron stars is systematically studied within two frameworks of viscous relativistic hydrodynamics: the relativistic Navier-Stokes and Israel-Stewart theories. A correspondence is established between the discrete stellar eigenmodes and the continuous dispersion relation of perturbations around a homogeneous fluid, providing a basis for interpreting our numerical results. We analyze the Newtonian limit and assess the impact of relativistic corrections, suc…

On the fate of spacetime singularities
Federico Piazza
https://arxiv.org/abs/2509.12314 https://arxiv.org/pdf/2509.12314

On the fate of spacetime singularities
I investigate spacetime singularities from the point of view of the wavefunction of the universe. In order to extend the classical notion of geodesic incompleteness one has to include the proper time of an observer as a degree of freedom in the Wheeler DeWitt equation. This leads to a Schrödinger equation along the observer worldline. Near the singularity, as in the classical BLK treatment, I ignore spatial gradients and effectively describe the spacetime around the worldline in the mini-super…

Past and future isotropization in $f(R)$ dark energy models
Adnaan Nauthoo, Peter Dunsby, \'Alvaro de la Cruz-Dombriz
https://arxiv.org/abs/2509.12300 https://

Past and future isotropization in $f(R)$ dark energy models
We perform the dynamical system analysis for the homogeneous and anisotropic Bianchi I cosmology in the context of Hu-Sawicki $f(R)$ gravity with parameters $\{n,C_{1}\}=\{1,1\}$. Deriving the corresponding four-dimensional dynamical system from the field equations allows us to find the fixed points of the system in both the vacuum and matter cases alongside their stability. This approach also provides analytical expressions for both the cosmic expansion and shear of each fixed point. We show t…

New HDE models with higher derivatives of the Hubble parameter $H$
Antonio Pasqua
https://arxiv.org/abs/2509.12284 https://arxiv.org/pdf/2509.12284

New HDE models with higher derivatives of the Hubble parameter $H$
In this work, we investigate two Dark Energy (DE) models characterized by higher-order derivatives of the Hubble parameter $H$, which generalize previously proposed DE scenarios. Assuming a power-law form of the scale factor $a(t)$ given by $a(t)=b_0t^n$, we derive analytical expressions for the DE energy density, pressure, the Equation of State (EoS) parameter, the deceleration parameter and the evolutionary form of the fractional DE density. Both non-interacting and interacting dark sector fr…

Perfect fluid dark matter: a viability test with galaxy rotation curves
Jan Kuncewicz
https://arxiv.org/abs/2509.12268 https://arxiv.org/pdf/2509.12268

Perfect fluid dark matter: a viability test with galaxy rotation curves
The anomalous rotation curves of galaxies provide compelling evidence for dark matter, yet its fundamental nature and distribution remain key unresolved issues in astrophysics. In this work, we investigate a dark matter model derived from first principles within General Relativity, treating the halo as a perfect fluid with a specific anisotropic equation of state characterized by a single parameter. This framework yields two families of static, spherically symmetric solutions: a Power-Law metri…

Loop-corrected scalar potentials and late-time acceleration in f(R) gravity
M. V. Pradosh Keshav (Christ University, Bangalore), Arun Kenath (Christ University, Bangalore)
https://arxiv.org/abs/2509.13373

Loop-corrected scalar potentials and late-time acceleration in f(R) gravity
We construct an analytic f(R) gravity model that unifies early-time inflation with late-time cosmic acceleration within a single covariant framework. At high curvature, the model reproduces a Starobinsky-like inflationary plateau, while at low curvature it asymptotes to a stable dark energy-dominated phase. In the scalar-tensor representation, this construction yields a hilltop-type potential in the Jordan frame, which maps to an exponential potential in the Einstein frame. To account for radia…

THE KERR-SEN Solution Satisfying SO(2) Symmetry
Winston Chen, Yao-Guang Zheng
https://arxiv.org/abs/2509.13343 https://arxiv.org/pdf/2509.13343

THE KERR-SEN Solution Satisfying SO(2) Symmetry
We present a new class of KERR-SEN solutions that respect SO(2) symmetry, constructed systematically using the Laurent series expansion method. This approach is based on stationary, axisymmetric Euclidean solutions to the vacuum Einstein equations and incorporates advanced techniques for generating stationary gravitational fields, including the variation-of-constants method and nonlinear superposition. Through this unified framework, we obtain fresh insights into axially symmetric gravitational…

Regular black holes with gravitational self-energy as dark matter
Kimet Jusufi, Douglas Singleton
https://arxiv.org/abs/2509.13335 https://arxiv.org/pdf/25…

Regular black holes with gravitational self-energy as dark matter
We incorporate the effect of non-local gravitational self-energy to obtain a neutral, non-singular spacetime geometry. This is achieved by using a non-local gravitational theory inspired by T-duality, where particle mass is not point-like but smeared over a region. This non-local gravitational self-interaction is derived from the Newtonian gravitational potential and energy density, allowing us to define a coordinate-independent quantity. Thus, we incorporate the non-local gravitational field i…