Tootfinder

There is is one constant in US foreign policy now, betraying Ukraine and Europe, assisting Russia.

And now that I'm below poly, I think it's time to give my microscope a well-deserved break from the near-constant imaging it's been doing the past few weeks.
369963 photos totaling 203.4 GB. Over a hundred hours of imaging time averaging around 3000 photos an hour. 27 etch cycles, 72 imaging runs.
I'll start shooting some analysis video later today talking about the device floorplan and such. But as a teaser, here's the final image just after stripping poly bu…

There are two types of Linux developers - those who can spell, and
those who can't. There is a constant pitched battle between the two.
(From one of the post-1.1.54 kernel update messages posted to c.o.l.a)

Current flu vaccines induce immune defenses that target hemagglutinin,
one of the proteins jutting from the surface of a flu virus.
However, the outer portion of hemagglutinin changes quickly.
Researchers are trying several strategies to zero in on more stable parts of the viruses.
By analyzing multiple virus variants, Ross and his team identified sections of hemagglutinin that stay constant and then combined them to make vaccines. -- In their 2025 study, vaccines cre…

A Vaccine Big Shot - Lasker Foundation
OCT 14, 2025Read about Lasker Laureate Thomas Francis, who developed vaccines against influenza types A and B.

While this may be a good idea, I personally would not want to get anywhere near a so called "venture" backed by Vinod Khosla, not no way, not no how.
"One of America’s most dangerous volcanoes will soon power homes"
https://www.washingtonpost.com/climate-sol…

One of America’s most dangerous volcanoes will soon power homes
Tapping energy from “superhot rock” could produce cheap, clean, constant energy almost anywhere — if drills and wells can survive infernal heat and pressure.

America in 2025: Survey Finds Steady Concerns Amid Constant National Change (American Communities Project)
https://www.americancommunities.org/america-in-2025-survey-finds-steady-concerns-amid-constant-national-change/
http://www.memeorandum.com/251117/p108#a251117p108

I’ve worked over the past year to reduce the amount of noise in my consciousness on a daily basis.
By that I mean - information noise, not literal sounds “noise”. (That problem was solved long ago by some good earplugs and noise canceling earphones.)
I’ve gotten used to spending less time on social media, regularly blocking most apps on my devices (anything with a feed news, most work communication apps, etc.), putting my phone and other devices aside for extended periods of time. Often go to work places with my iPad explicitly having its WiFi turned off and selecting cafes that don’t offer WiFi at all.
Negotiated better boundaries at work and in personal life where I exchange messages with people less often but try to make those interactions more meaningful, and people rarely expect me to respond to requests in less than 24 hours. Spent a lot of time setting up custom notification settings on all apps that would allow it, so I get fewer pings. With software, choosing fewer cloud-based options and using tools that are simple and require as few interruptions as possible.
Accustomed myself to lower-tech versions of doing things I like to do: reading on paper, writing by hand, drawing in physical sketchbooks, got a typewriter for typing without a screen. Choosing to call people on audio more, trying to make more of an effort to see people in person. Going to museums to look at art instead of browsing Pinterest. Defaulting to the library when looking for information.
I’m commenting on this now for two reasons:
1. I am pretty proud of myself for how much I’ve actually managed to reduce the constant stream of modern life esp. as a remote worker in tech!
2. Now that I’ve reached a breaking point of reducing enough noise that it’s NOTICEABLE - I am struck by the silence. I don’t know what to do with it. I don’t know how to navigate it and fill it. I made this space to be able to read and write and think more deeply - for now I feel stuck in limbo where I’m just reacquainting myself with the concept of having any space in my mind at all.

Mass killings
Was looking through Wikipedia's list of mass killings in America (#guns #GunViolence #Shooting

For those heading out to their local No Kings Protest tomorrow, here's something to focus one's thoughts:
"Tyranny requires constant effort. It breaks, it leaks. Authority is brittle. Oppression is the mask of fear."
▶️ Andor: Nemik's Manifesto
https://youtube.com/watch?v=…

'The threat was constant' — Russian drone flew over Angelina Jolie during her Ukraine trip: https://benborges.xyz/2025/11/09/the-threat-was-constant-russian.html

Added a zoom level to the Category page on the Exocortex-Log app. Can make the graphs look a lot cleaner now.
Looking back over the last 100 months here, we can see in general my social life is quite seasonal -- Festivals are a lot of social all weekend long and a couple of them in a month really bumps up the hours from my usual habit of sitting alone in a dark room pressing buttons.
The peak in 2019 is a summer filled with Glasto and Noisily and another festival or camping trip I don’t seem to have recorded the name of.
Then clearly visible is the drop-off in social activity as the COVID pandemic hit. Virtual-Social (IE zoom meetings and the like) picked up quite a bit around there but had died back to almost nothing way before the hours spent with actual people started to tick up.
Annoyingly, I have my biggest gap in data right on top of the pandemic there, where I failed to back up for months and then data became corrupted.
When the data-hole is over we see social life still not really returning until the middle of 2021 and not really getting back into stride until summer 2022.
It remains much lower now on average with lower peaks than before the pandemic too. Multiple reasons.
Work is pretty constant all the way though other than the data-hole. Dipping when I take time off for social mostly.
That data-hole is annoying. Back up your data kids.
#lifeLog #app #exocortexLog

from my link log —
Optimization countermeasures: inline asm value barriers for constant-time cryptography.
https://mcyoung.xyz/2025/12/15/value-barriers/
saved 2025-12-16

I keep coming back to the mirror dualities of the oppressed and oppressor under authoritarianism.
The oppressed is portrayed as both weak and godlike. The stereotypes are always some variation on sloth and incompetence, but yet somehow also a menace capable of destroying the "pure" society. To use the most relevant current example, Antifa being both little femme soy boys who would always get beat up by "real men" while also being an international terrorist organization on the brink of overthrowing the US government, the unarmed presence of whom makes the heavily armed agents of ICE flee for their lives. Antifa is both having absolutely no impact on ICE, and also having such an impact on ICE that the military needs to come in to protect them. The contradiction is obvious but never seems to occur to those who hold both to be true at the same time.
But few talk about the duality of the oppressor. The sovereign throughout history has always been both a ruler above the law, sometimes even the representative or incarnation of a divine force. Yet, this same superhuman/god-man is also a baby who needs constant care. This is absolutely a through line from the very earliest records of sovereign cults to modern cult leaders, CEOs, and Trump today. Power, for these people, is expressed both as the ability to force others to enact their will and in the ability to compel others to care for them. Can any of these "men" cook? Can they fix anything themselves? They are driven everywhere, cooked for all the time, constantly protected from danger. Kings are still dressed, at least for rituals. I could dissect masculinity here, but that's a whole thing.
It is as though the drive to care for our children, who must be taught to behave within acceptable norms, is hijacked by "leaders" who demand our care and attention... even at the expense of our literal children. And recently we've seen some of those very CEOs, with LLMs and return to office demands, show that their judgment is also little better than children, making decisions while pretending to understand a subject.
The oppressed are portrayed as both god-like and impotent and are, in fact, neither. Meanwhile the rulers portray themselves only as invulnerable and are, in fact, childish in their ability to survive without constant support. Their greatest fear from the collapse of society is figuring out how to make sure people keep taking care of them.
It just keeps rattling around in my head.
#USPol

Empirical bounds for commuting dilations of free unitaries and the universal commuting dilation constant
Malte Gerhold, Marcel Scherer, Orr Shalit
https://arxiv.org/abs/2510.12540

Empirical bounds for commuting dilations of free unitaries and the universal commuting dilation constant
For a tuple $T$ of Hilbert space operators, the 'commuting dilation constant' is the smallest number $c$ such that the operators of $T$ are a simultaneous compression of commuting normal operators of norm at most $c$. We present numerical experiments giving a strong indication that the commuting dilation constant of a pair of independent random $N{\times}N$ unitary matrices converges to $\sqrt2$ as $N \to \infty$ almost surely. Under the assumption that this is the case, we prove that the commu…

The Tribonacci constant and finite automata
Jeffrey Shallit
https://arxiv.org/abs/2510.10834 https://arxiv.org/pdf/2510.10834

The Tribonacci constant and finite automata
We show that there is no automaton accepting the Tribonacci representations of $n$ and $x$ in parallel, where $ψ= 1.839\cdots$ is the Tribonacci constant, and $x= \lfloor n ψ\rfloor$. Similarly, there is no Tribonacci automaton generating the Sturmian characteristic word with slope $ψ-1$.

Constant Roll Inflationary Dynamics with Generalized Potentials in $f(R,\phi,X)$ Gravity
Ali I. Keskin, Mehmet Ya\c{s}ar, K. Kurt
https://arxiv.org/abs/2510.10220 https://

Constant Roll Inflationary Dynamics with Generalized Potentials in $f(R,ϕ,X)$ Gravity
In this work, we study early-time inflation within a class of $f(R, ϕ, X)$ gravity models under a constant-roll condition. Employing a generalized potential of the form $V(ϕ)^σ$, we derive expressions for the spectral index $n_s$ and tensor-to-scalar ratio $r$, demonstrating that the inflationary dynamics are primarily governed by the parameter $σ$ and the shape of the potential. At the upper limit of $n_s$, we obtain a de Sitter-like phase, while at the lower limit, the model transitions t…

It’s strange thinking about how much pain I’ve grown to accept and have just learned to live with.
I love writing by hand too much to give it up - with my ADHD it helps me focus, remember thins better, think through complex ideas. Journaling has been a great way to manage my mental illnesses. I love paper, I love collecting notebooks.
Not to mention that I am a hobbyist artist and draw on a regular basis. (Somehow that has been less painful for me than writing… but if writing cramped my hand then drawing would be agonizing too and I’d have to take weeks off on a nearly constant basis).
So suddenly purchasing a new kind of pen and realizing it MADE THE PAIN DISAPPEAR feels like magic. I literally feel less disabled.
I just wish I bought a fountain pen years ago 😅

We have a lot of "home-schooled" children in our neighborhood, and all I hear is constant screams of bloody murder throughout the day.
I'm pretty sure they are learning nothing.

hey @… this should also be in #zig: https://

Introducing constant-time support for LLVM to protect cryptographic code
Trail of Bits developed constant-time coding support for LLVM that prevents compilers from breaking cryptographic implementations vulnerable to timing attacks, introducing the __builtin_ct_select family of intrinsics that preserve constant-time properties throughout compilation.

Proof of the exact diffusion constant via first passage time in quasi-periodic potentials
Ming Gong
https://arxiv.org/abs/2510.10435 https://arxiv.org/pdf/…

Proof of the exact diffusion constant via first passage time in quasi-periodic potentials
Brownian motion in terms of Lifson and Jackson (LJ) formula has been widely explored in periodic systems and it has been believed for a long time that the LJ formula only applies to periodic potentials. Recently we show that for the following Brownian motion $γ\dot{x} = -U'(x) + ξ$, where $U(x)$ is the quasi-periodic potential, the effective diffusion constant can still be described by the LJ formula $D^* = D/(\langle \exp(βU)\rangle \langle \exp(-βU)\rangle)$, where the average is redefine…

I, as a former(*) wikipedian (myself and another guy basically started the Portuguese-language Wikipedia), wholeheartedly approve this message.
(*) left a few years in because I couldn't be bothered anymore with the constant bickering of wikipedia politics.
https://youtu.be/9zi0ogvPfCA

A constant upper luminosity limit of cool supergiant stars down to the extremely low metallicity of I Zw 18
Abel Schootemeijer, Ylva G\"otberg, Norbert Langer, Giacomo Bortolini, Alec S. Hirschauer, Lee Patrick
https://arxiv.org/abs/2510.12594

A constant upper luminosity limit of cool supergiant stars down to the extremely low metallicity of I Zw 18
Stellar wind mass loss is often assumed to depend on their metallicity $Z$. Therefore, evolutionary models of massive stars at lower $Z$ are able to retain more of their H-rich layers and evolve into brighter cool supergiants (cool SGs; $T_\mathrm{eff} < 7$ kK). Surprisingly, in galaxies in the range $0.2 \lesssim Z / Z_\odot \lesssim 1.5$ previous studies did not find a $Z$-dependence of the upper luminosity limit $L_\mathrm{max}$ of cool SGs. Here, we study four extra galaxies with HST and JW…

On defining Kemeny's constant for non-backtracking random walks
Jane Breen, Mark Kempton, Adam Knudson, Matthew Shumway
https://arxiv.org/abs/2510.06650 https://

On defining Kemeny's constant for non-backtracking random walks
We propose two possible definitions for a version of Kemeny's constant of a graph based on non-backtracking random walks (in place of the usual simple random walk). We show that these two definitions coincide for edge-transitive graphs, and give a condition generalizing edge-transitive for which equality holds, and investigate by how much they can differ in general. We compute our non-backtracking Kemeny's constant for several families of graphs.

aus der reihe "amüsante buchtitel" heute: "»Vrummmummmmm FVISH!« : Soundscapes as Part of Constant Conversations in Action-Adventure Video Game Heterotopias" http://omeka.buechner-verlag.de/items/show/39

Hubble Constant and Mass Determination of Centaurus A and M83 from TGRB Distances
Adrian Faucher, David Benisty, David F. Mota
https://arxiv.org/abs/2510.09190 https://

Hubble Constant and Mass Determination of Centaurus A and M83 from TGRB Distances
An independent determination of the Hubble constant is crucial in light of the persistent tension between early- and late-Universe measurements. In this study, we analyze the dynamics of the Centaurus A (CenA) and M83 galaxies, along with their associated dwarf companions identified via Tip of the Red Giant Branch (TRGB) distance measurements, to constrain both the group mass and the local value of $H_0$. By examining the motions of these galaxies relative to the system's barycenter, we apply b…

Poisoning Attacks on LLMs Require a Near-constant Number of Poison Samples
Alexandra Souly, Javier Rando, Ed Chapman, Xander Davies, Burak Hasircioglu, Ezzeldin Shereen, Carlos Mougan, Vasilios Mavroudis, Erik Jones, Chris Hicks, Nicholas Carlini, Yarin Gal, Robert Kirk
https://arxiv.org/abs/2510.07192…

Poisoning Attacks on LLMs Require a Near-constant Number of Poison Samples
Poisoning attacks can compromise the safety of large language models (LLMs) by injecting malicious documents into their training data. Existing work has studied pretraining poisoning assuming adversaries control a percentage of the training corpus. However, for large models, even small percentages translate to impractically large amounts of data. This work demonstrates for the first time that poisoning attacks instead require a near-constant number of documents regardless of dataset size. We co…

On the Profile of Singularity Formation for the Incompressible Hydrostatic Boussinesq system
Slim Ibrahim, Quyuan Lin, Lingjun Qian, Edriss S. Titi
https://arxiv.org/abs/2510.10090

On the Profile of Singularity Formation for the Incompressible Hydrostatic Boussinesq system
The primitive equations (PEs) model planetary large-scale oceanic and atmospheric dynamics. While it has been shown that there are smooth solutions to the inviscid PEs (also called the hydrostatic Euler equations) with constant temperature (isothermal) that develop stable singularities in finite time, the effect of non-constant temperature on the singularity formation has not been established yet. This paper studies the stability of singularity formation for non-constant temperature in two scen…

AI companies are the tobacco companies of the 21st century:
- fabulously lucrative
- incredibly toxic
- requires constant spin
- and celebrity endorsement

On the role of cosmological constant in modeling hadrons
Mathew Thomas Arun, Nabeel Thahir
https://arxiv.org/abs/2510.06380 https://arxiv.org/pdf/2510.0638…

On the role of cosmological constant in modeling hadrons
Einsteins gravity with a cosmological constant $Λ$ in four dimensions can be reformulated as a $λϕ^4$ theory characterized solely by the dimensionless coupling $λ\propto G_N Λ$ ($G_N$ being Newton's constant). The quantum triviality of this theory drives $λ\to 0$, and a deviation from this behavior could be generated by matter couplings. Here, we study the significance of this conformal symmetry and its breaking in modeling non-perturbative QCD. The hadron spectra and correlation function…

🇺🇦 #NowPlaying on #BBC6Music's #RadcliffeAndMaconie
Constant Follower:
🎵 Gentle Teaching
#ConstantFollower
https://constantfollower.bandcamp.com/track/gentle-teaching
https://open.spotify.com/track/2kWdiCzYWrujzvtc6oxCuM

Constant $k$th-mixed curvature
Weiguo Chen, Kai Tang
https://arxiv.org/abs/2510.05546 https://arxiv.org/pdf/2510.05546

Constant $k$th-mixed curvature
In this paper, we consider general $k$th-mixed curvature $\mathcal{C}^{(k)}_{α,β}$ ($β\neq0$) for Hermitian manifolds, which is a convex combination of the $k$th Chern Ricci curvature and holomorphic sectional curvature. We prove that any compact Hermitian surface with constant $k$th-mixed curvature is self-dual. Furthermore, we show that if a compact Hermitian surface has constant 2th-mixed curvature $c$, then the Hermitian metric must be Kähler. For the higher-dimensional case, when the p…

Gah, trying to just get a delivery date so I could order something timed to arrive next week and pressed the wrong button so accidentally ordered the thing and also Prime membership.
Fuckers tricked me into Prime for a month with their dark pattern constant asking and refusal to take no for an answer.
Bastards.
#amazon #bastards

Improved Clifford operations in constant commutative depth
Richard Cleve, Zhiqian Ding, Luke Schaeffer
https://arxiv.org/abs/2510.04921 https://arxiv.org/p…

Improved Clifford operations in constant commutative depth
The commutative depth model allows gates that commute with each other to be performed in parallel. We show how to compute Clifford operations in constant commutative depth more efficiently than was previously known. Bravyi, Maslov, and Nam [Phys. Rev. Lett. 129:230501, 2022] showed that every element of the Clifford group (on $n$ qubits) can be computed in commutative depth 23 and size $O(n^2)$. We show that the Prefix Sum problem can be computed in commutative depth 16 and size $O(n \log n)$, …

from my link log —
Constant-time support lands in LLVM: Protecting cryptographic code at the compiler level.
https://blog.trailofbits.com/2025/11/25/constant-time-support-lands-in-llvm-protecting-cryptogra…

Constant-time support lands in LLVM: Protecting cryptographic code at the compiler level
Trail of Bits developed constant-time coding support for LLVM 21 that prevents compilers from breaking cryptographic implementations vulnerable to timing attacks, introducing the __builtin_ct_select family of intrinsics that preserve constant-time properties throughout compilation.

(Dis)Proving Spectre Security with Speculation-Passing Style
Santiago Arranz-Olmos, Gilles Barthe, Lionel Blatter, Xingyu Xie, Zhiyuan Zhang
https://arxiv.org/abs/2510.11573 htt…

(Dis)Proving Spectre Security with Speculation-Passing Style
Constant-time (CT) verification tools are commonly used for detecting potential side-channel vulnerabilities in cryptographic libraries. Recently, a new class of tools, called speculative constant-time (SCT) tools, has also been used for detecting potential Spectre vulnerabilities. In many cases, these SCT tools have emerged as liftings of CT tools. However, these liftings are seldom defined precisely and are almost never analyzed formally. The goal of this paper is to address this gap, by deve…

Constant Weighted Maximin Share Approximations for Chores
Bo Li, Fangxiao Wang, Shiji Xing
https://arxiv.org/abs/2510.06581 https://arxiv.org/pdf/2510.0658…

Constant Weighted Maximin Share Approximations for Chores
We study the fair allocation of indivisible chores among agents with asymmetric weights. Among the various fairness notions, weighted maximin share (WMMS) stands out as particularly compelling. However, whether WMMS admits a constant-factor approximation has remained unknown and is one of the important open problems in weighted fair division [ALMW22, Suk25]. So far, the best known approximation ratio is O(log n), where n is the number of agents. In this paper, we advance the state of the art an…

Unsubscribing from a blog, that's been in my feed reader for probably two decades, because of the constant affiliate sales posts that describe things as "practically free".
(Ah, it got acquired around three months ago.)

A Physics-Informed Reinforcement Learning Approach for Degradation-Aware Long-Term Charging Optimization in Batteries
Shanthan Kumar Padisala, Bharatkumar Hegde, Ibrahim Haskara, Satadru Dey
https://arxiv.org/abs/2510.11515

A Physics-Informed Reinforcement Learning Approach for Degradation-Aware Long-Term Charging Optimization in Batteries
Batteries degrade with usage and continuous cycling. This aging is typically reflected through the resistance growth and the capacity fade of battery cells. Over the years, various charging methods have been presented in the literature that proposed current profiles in order to enable optimal, fast, and/or health-conscious charging. However, very few works have attempted to make the ubiquitous Constant Current Constant Voltage (CCCV) charging protocol adaptive to the changing battery health as …

Three-point connectivity constant for $q$-state Potts spin clusters
Gefei Cai, Haoyu Liu, Baojun Wu, Zijie Zhuang
https://arxiv.org/abs/2510.05850 https://…

Three-point connectivity constant for $q$-state Potts spin clusters
Recently, Ang--Cai--Sun--Wu (2024) determined the three-point connectivity constant for two-dimensional critical percolation, confirming a prediction of Delfino and Viti (2010). In this paper, we address the analogous problem for planar critical $q$-state Potts spin clusters. We introduce a continuum three-point connectivity constant and compute it explicitly. Under the scaling-limit conjecture for Potts spin clusters, this quantity coincides with the scaling limit of the properly normalized pr…

New Mini-Gist: Power’s Walled Cities
A Democracy where politicians are in constant office, but do not respond to citizens’ wishes (or even just their own voters’ interests) but just advance the policies that suit monied lobbies is a disaffection machine.
https://www.thegist.ie/mini-gist-powers-wa

Mini-Gist: Power’s Walled City
Yesterday’s plan to control internet has already dwindled down to a pilot, with no MyGovID integration. This is the Gist.

Validation of collision-free spheres of Stewart-Gough platforms for constant orientations using the Application Programming Interface of a CAD software
Bibekananda Patra, Rajeevlochana G. Chittawadigi, Sandipan Bandyopadhyay
https://arxiv.org/abs/2510.08408

Validation of collision-free spheres of Stewart-Gough platforms for constant orientations using the Application Programming Interface of a CAD software
This paper presents a method of validation of the size of the largest collision-free sphere (CFS) of a 6-6 Stewart-Gough platform manipulator (SGPM) for a given orientation of its moving platform (MP) using the Application Programming Interface (API) of a CAD software. The position of the MP is updated via the API in an automated manner over a set of samples within a shell enclosing the surface of the CFS. For each pose of the manipulator, each pair of legs is investigated for mutual collisions…

Statistical Guarantees for High-Dimensional Stochastic Gradient Descent
Jiaqi Li, Zhipeng Lou, Johannes Schmidt-Hieber, Wei Biao Wu
https://arxiv.org/abs/2510.12013 https://

Statistical Guarantees for High-Dimensional Stochastic Gradient Descent
Stochastic Gradient Descent (SGD) and its Ruppert-Polyak averaged variant (ASGD) lie at the heart of modern large-scale learning, yet their theoretical properties in high-dimensional settings are rarely understood. In this paper, we provide rigorous statistical guarantees for constant learning-rate SGD and ASGD in high-dimensional regimes. Our key innovation is to transfer powerful tools from high-dimensional time series to online learning. Specifically, by viewing SGD as a nonlinear autoregres…

Descend of morphisms of varieties
Supravat Sarkar
https://arxiv.org/abs/2510.11993 https://arxiv.org/pdf/2510.11993…

Descend of morphisms of varieties
Given varieties $X, Y, W$ and dominant morphisms $ϕ:X\to Y$ and $f:X\to W$ such that $f$ is constant on fibres of $ϕ$ , we give sufficient conditions to guarantee that $f$ descends to a rational map or a morphism $Y\to W.$ We pay special attention to the case that the ground field has positive characteristic. This extends previous works of Aichinger and Das, who proved similar results for some classes of affine varieties.

Anybody recognize this pattern?
Counting from 0 to 31 in 12 bits.
Bits 5:0 are straightforward, they're one-hot pairs (one bit set for logic 0, the other for logic 1) counting in what looks to be plain binary.
But the other half are a much stranger sequence. Bits 7:6 are one hot and do what I'd expect for the first half, but then are constant 1/0 for the second half (I would expect 7:0 to be 0/1 instead).
And then bits 11:8 seem to be one-hot within the entire…

Fine-structure constant sensitivity of the Th-229 nuclear clock transition: #FineStructureConstant? https://www.tuwien.at/en/phy/ati/news/wie-konstant-ist-die-feinstrukturkonstante - in 2024, TU Wien presented the world's first nuclear clock; now it has been demonstrated that the technology can also be used to investigate unresolved questions in fundamental physics.

Toxicity Bounds for Dynamic Liquidation Incentives
Alexander McFarlane
https://arxiv.org/abs/2510.10171 https://arxiv.org/pdf/2510.10171

Toxicity Bounds for Dynamic Liquidation Incentives
We derive a slippage-aware toxicity condition for on-chain liquidations executed via a constant-product automated market maker (CP-AMM). For a fixed (constant) liquidation incentive $i$, the familiar toxicity frontier $ν< 1/(1+i)$ tightens to $ν< 1/((1+i)λ)$ for a liquidity penalty factor $λ$ that we derive for both the CP-AMM and a generalised form. Using a dynamic health-linked liquidation incentive $i(h) = i(1 - h)$, we obtain a state-dependent bound and, at the liquidation boundary, a l…

On the best constant in the finitary Vitali covering lemma for high dimensional cubes
Gian Maria Dall'Ara
https://arxiv.org/abs/2510.06817 https://arxi…

On the best constant in the finitary Vitali covering lemma for high dimensional cubes
Let $Γ_d$ be the largest constant such that every finite collection of cubes in $\mathbb{R}^d$ whose sides are parallel to the coordinate axes admits a disjoint sub-collection occupying a fraction $Γ_d$ of its volume. Vitali's greedy algorithm shows that $Γ_d\geq 3^{-d}$, and cutting a cube into its $2^d$ dyadic sub-cubes gives $Γ_d\leq 2^{-d}$. The question of determining the value of $Γ_d$ was first raised by T.~Radó in a 1927 letter to Sierpinski. In this paper we investigate the asy…

Einstein and Debye temperatures, electron-phonon coupling constant and a probable mechanism for ambient-pressure room-temperature superconductivity in intercalated graphite
E. F. Talantsev
https://arxiv.org/abs/2511.07460 https://arxiv.org/pdf/2511.07460 https://arxiv.org/html/2511.07460
arXiv:2511.07460v1 Announce Type: new
Abstract: Recently, Ksenofontov et al (arXiv:2510.03256) observed ambient pressure room-temperature superconductivity in graphite intercalated with lithium-based alloys with transition temperature (according to magnetization measurements) $T_c=330$ $K$. Here, I analyzed the reported temperature dependent resistivity data $\rho(T)$ in these graphite-intercalated samples and found that $\rho(T)$ is well described by the model of two series resistors, where each resistor is described as either an Einstein conductor or a Bloch-Gr\"uneisen conductor. Deduced Einstein and Debye temperatures are $\Theta_{E,1} \approx 250$ $K$ and $\Theta_{E,2} \approx 1,600$ $K$, and $\Theta_{D,1} \approx 300$ $K$ and $\Theta_{D,2} \approx 2,200$ $K$, respectively. Following the McMillan formalism, from the deduced $\Theta_{E,2}$ and $\Theta_{D,2}$, the electron-phonon coupling constant $\lambda_{e-ph} = 2.2 - 2.6$ was obtained. This value of $\lambda_{e-ph}$ is approximately equal to the value of $\lambda_{e-ph}$ in highly compressed superconducting hydrides. Based on this, I can propose that the observed room-temperature superconductivity in intercalated graphite is localized in nanoscale Sr-Ca-Li metallic flakes/particles, which adopt the phonon spectrum from the surrounding bulk graphite matrix, and as a result, conventional electron-phonon superconductivity arises in these nano-flakes/particles at room temperature. Experimental data reported by Ksenofontov et al (arXiv:2510.03256) on trapped magnetic flux decay in intercalated graphite samples supports the proposition.
toXiv_bot_toot

A Hierarchy for Constant Communication Complexity
Andris Ambainis, Hartmut Klauck, Debbie Lim
https://arxiv.org/abs/2509.22004 https://arxiv.org/pdf/2509.2…

A Hierarchy for Constant Communication Complexity
Similarly to the Chomsky hierarchy, we offer a classification of communication complexity measures such that these measures are organized into equivalence classes. Different from previous attempts of this endeavor, we consider two communication complexity measures as equivalent, if, when one is constant, then the other is constant as well, and vice versa. Most previous considerations of similar topics have been using polylogarithmic input length as a defining characteristic of equivalence. In t…

Structure-preserving finite-element approximations of the magnetic Euler-Poisson equations
Jordan Hoffart, Matthias Maier, John N. Shadid, Ignacio Tomas
https://arxiv.org/abs/2510.11808

Structure-preserving finite-element approximations of the magnetic Euler-Poisson equations
We develop a structure-preserving numerical discretization for the electrostatic Euler-Poisson equations with a constant magnetic field. The scheme preserves positivity of the density, positivity of the internal energy and a minimum principle of the specific entropy, as well as global properties, such as total energy balance. The scheme uses an operator splitting approach composed of two subsystems: the compressible Euler equations of gas dynamics and a source system. The source system couples …

🇺🇦 #NowPlaying on KEXP's #AfternoonShow
Stereolab:
🎵 Constant and Uniform Movement Unknown
#Stereolab
https://stereolab.bandcamp.com/album/fed-up-with-your-job-constant-and-uniform-movement-unknown
https://open.spotify.com/track/7mcpINyTYDB9ul7pcRzDMT

Emergence of General Relativity from Cosmological Constant Via Ghost Condensation
Ichiro Oda
https://arxiv.org/abs/2509.23648 https://arxiv.org/pdf/2509.23…

Emergence of General Relativity from Cosmological Constant Via Ghost Condensation
We show that starting with a cosmological constant in a curved space-time, the Einstein-Hilbert term of general relativity is generated through a ghost condensation. We fix Weyl symmetry, or equivalently local scale symmetry by a gauge condition $R = 0$ à la BRST formalism, and see that the condensation of the Faddeev-Popov ghosts, $\langle \bar c c \rangle \neq 0$ leads to a generation of the Einstein-Hilbert action of general relativity. This dynamical mechanism of symmetry breakdown for a g…

CFO Palantir talking about how they're working to make the various data streams of surveillance efficiently useful and remove the needle-in-a-haystack anonymity we have previously enjoyed. Awesome.
https://www.nytimes.com/2025/10/30/opinion

Part of why #Trump has always been so hard to pin down politically is that he was always representing highly conflicting interests. Now, as that eats him alive, the GOP is fracturing in to two main groups: the Pinochet/Franco wing and the Hitler wing.
The Pinochet/Franco wing (let's call them PF) are lead by Vance. PF are also a coalition with some competing interests, but basically it's evangelical leaders, Opus Dei (fascist catholics), tech fascists (Yarvinites), pharma, and the other normal big republican donors. They support Israel, some because apartheid is extremely profitable and some because they support the genocide of Palestinian in order to bring the end of the world. They are split between extremely antisemitic evangelicals and Zionists, wanting similar things for completely different reasons. PF wants strong immigration enforcement because it lets them exploit immigrants, they don't want actual ethnic cleansing (just the constant threat). They want H1B visas because they want to a precarious tech work force. They want to end tariffs because they support free trade and don't actually care about things being made here.
The Hitler wing are lead by Nick Fuentes. I think they're a more unified group, but they're going to try to pull together a coalition that I don't think can really work. They're against Israel because they believe in some bat shit antisemitic conspiracy theory (which they are trying to inject along side legitimate criticism of Israel). They are focused on release of the #EpsteinFiles because they believe that it shows that Epstein worked for Mossad. They don't think that the ICE raids are going far enough, they oppose H1Bs because they are racists. They want a full ethnic cleansing of the US where everyone who isn't "white" is either enslaved for menial labor, deported, or dead. But they're also critical of big business (partially because of conspiracy theories but also) because they think their best option is to push for a white socialism (red/brown alliance).
Both of them want to sink Trump because they see him as standing in the way of their objectives. Both see #Epstein as an opportunity. Both of them have absolutely terrifying visions of authoritarian dictatorships, but they're different dictatorships.with opposing interests. Even within these there may be opportunities to fracture these more.
While these fractures decrease the likelihood of either group getting enough people together, their vision is more clear and thus more likely to succeed if they can make that happen. Now is absolutely *not* the time to just enjoy the collapse, we need to keep up or accelerate anti-fascist efforts to avoid repeating some of the mistakes of history.
Edit:
I should not that this isn't *totally* original analysis. I'll link a video later when I have time to find it.
Here it is:
#USPol

Limit Laws for Poincar\'e Recurrence and the Shrinking Target Problem
Alejandro Rodriguez Sponheimer
https://arxiv.org/abs/2510.12596 https://arxiv.org…

Limit Laws for Poincaré Recurrence and the Shrinking Target Problem
Let $(X,T,μ,d)$ be a metric measure-preserving system. If $B(x,r_n(x))$ is a sequence of balls such that, for each $n$, the measure of $B(x,r_n(x))$ is constant, then we obtain a self-norming CLT for recurrence for systems satisfying a multiple decorrelation property. When $μ$ is absolutely continuous, we obtain a distributional limit law for recurrence for the sequence of balls $B(x,r_n)$. In the latter case, the density of the limiting distribution is an average over Gaussian densities. An …

Spectroscopic Reverberation Mapping for SARM: The Case of Mrk 1048 and Mrk 618
Shivangi Pandey, Suvendu Rakshit, S. Muneer, Jincen Jose, Ashutosh Tomar, Yan-Rong Li, Jian-Min Wang, C. S. Stalin, Jong-Hak Woo, Romain G. Petrov, James Leftley, Sebastian F. H\"onig, Amit Kumar Mandal, Tushar Ubarhande, Shu Wang, Michael Brotherton, Archana Gupta
https://

Spectroscopic Reverberation Mapping for SARM: The Case of Mrk 1048 and Mrk 618
Robust extragalactic distance measurements are crucial for resolving the persistent discrepancy in the value of the Hubble constant (H$_0$)). Active Galactic Nuclei (AGNs), through their compact and variable broad-line regions (BLRs), enable the determination of geometric distances when reverberation mapping (RM) is combined with spectroastrometry(SA). We report results from a spectroscopic RM campaign (October 2022 to March 2023) targeting two narrow-line Seyfert 1 galaxies, Mrk 1048 and Mrk 6…

Adaptive Conditional Gradient Descent
Abbas Khademi, Antonio Silveti-Falls
https://arxiv.org/abs/2510.11440 https://arxiv.org/pdf/2510.11440

Adaptive Conditional Gradient Descent
Selecting an effective step-size is a fundamental challenge in first-order optimization, especially for problems with non-Euclidean geometries. This paper presents a novel adaptive step-size strategy for optimization algorithms that rely on linear minimization oracles, as used in the Conditional Gradient or non-Euclidean Normalized Steepest Descent algorithms. Using a simple heuristic to estimate a local Lipschitz constant for the gradient, we can determine step-sizes that guarantee sufficient …

The rolling tangent space, a forgotten vision on geodesics and parallel transport?
Constant Pinteaux, Gijs M. Tuynman
https://arxiv.org/abs/2510.10247 https://

The rolling tangent space, a forgotten vision on geodesics and parallel transport?
Given a submanifold $M\subset \mathbf{R}^ν$, a curve $γ:I\to M$ and tangent vectors $v$ along $γ$, we roll the tangent space along $γ$. In doing so, we get an imprint of $γ$ on the tangent space, as well as an imprint of tangent vectors. We show that $γ$ is a geodesic on $M$ if and only if this trace/imprint on the (affine) tangent space is a straight line and that $v$ is a set of parallel vectors if and only if their imprint on the tangent space is constant. In other words, in the view o…

Quasi-Periodic Oscillations in Gamma-Ray Bursts' Prompt Light Curves
Mariusz Tarnopolski
https://arxiv.org/abs/2510.11136 https://arxiv.org/pdf/2510.11…

Quasi-Periodic Oscillations in Gamma-Ray Bursts' Prompt Light Curves
I report on the discovery of 34 new quasi-periodic oscillations (QPOs) in the prompt light curves of long gamma-ray bursts (GRBs) from the Swift/BAT catalog: with one or more constant leading periods, as well as several chirping signals. This is the largest homogenously identified sample or GRB QPOs to date. The presence of QPOs suggests the existence of characteristic time scales that at least in some GRBs might be related to the dynamical properties of plasma trajectories in the accretion dis…

Whiplash: Cowboys’ defensive issues are rooted in constant change, lack of continuity https://www.dallasnews.com/sports/cowboys/2025/11/02/dallas-cowboys-defensive-coordinator-matt-eberflus-mike-zimmer-dan-quinn/…

High-Rate Surgery: towards constant-overhead logical operations
Guo Zheng, Liang Jiang, Qian Xu
https://arxiv.org/abs/2510.08523 https://arxiv.org/pdf/2510…

High-Rate Surgery: towards constant-overhead logical operations
Scalable quantum computation requires not only quantum codes with low memory overhead but also encoded operations with low space-time overhead. High rate quantum low-density parity-check (qLDPC) codes address the former by achieving a high information-encoding rate, yet existing methods for implementing logical operations often suffer from a low information-processing rate, leading to substantial space-time costs. Here, we introduce high-rate surgery, a general scheme that can perform extensive…

Time-resolved solvation dynamics of Li$^ $, Na$^ $ and K$^ $ ions in liquid helium nanodroplets
Jeppe K. Christensen, Simon H. Albrechtsen, Christian E. Petersen, Constant A. Schouder, Iker S\'anchez-P\'erez, Pedro Javier Carchi-Villalta, Massimiliano Bartolomei, Fernando Pirani, Tom\'as Gonz\'alez-Lezana, Henrik Stapelfeldt
https://

Time-resolved solvation dynamics of Li$^+$, Na$^+$ and K$^+$ ions in liquid helium nanodroplets
In 2023, ultrafast pump-probe spectrocopy was used to record the solvation dynamics of a single Na$^+$ ion in a liquid helium droplet, atom-by-atom and with femtosecond time resolution [Albrechtsen \textit{et al., Nature}, 2023, \textbf{623}, 319]. Subsequently, theoretical studies showed that other alkali ions solvate in a similar manner but no experimental results were reported so far. Here, we extend the previous measurement on Na$^+$ to Li$^+$ and K$^+$ ions. A pump pulse selectively ionize…

Goos-H$\ddot{a}$nchen shifts of bilayer meta-grating with unidirectional guide resonance
Zhihao Xu, Ma Luo
https://arxiv.org/abs/2510.12052 https://arxiv.o…

Goos-H$\ddot{a}$nchen shifts of bilayer meta-grating with unidirectional guide resonance
Bilayer meta-gratings with asymmetric structural parameters could host unidirectional guide resonances. The distribution of unidirectional guide resonances in the space of structural parameters and synthetic parameters is identified. As the incident optical beam being resonant with the unidirectional guide resonance, the Goos-H$\ddot{a}$nchen shifts of the scattered beams exhibit two anomalous behaviors: the resonant peak of the Goos-H$\ddot{a}$nchen shift is accompanied by constant transmittan…

A revision of the lifetime of submoons: tidal dynamics with the Euler-Lagrange equation
Iason Saganas, Grant Mayberry, Barbara Ercolano
https://arxiv.org/abs/2510.10344 https://…

A revision of the lifetime of submoons: tidal dynamics with the Euler-Lagrange equation
Submoons, moons orbiting other moons, may be exotic environments capable of hosting extraterrestrial life. We extend previous studies to revise the maximum lifetime of these objects due to planetary, lunar and sublunar tidal migration. Using the Euler-Lagrange equation with a tidal dissipation process as specified by the Constant Geometric Lag model, we derive and solve the governing equations numerically to map the semi-major axis parameter space for star-planet-moon-submoon systems in which…

Characterization of gravitational radiation at infinity with a cosmological constant
Francisco Fern\'andez-\'Alvarez, Jos\'e M. M. Senovilla
https://arxiv.org/abs/2510.07148

Characterization of gravitational radiation at infinity with a cosmological constant
The existence or absence of gravitational radiation escaping from the spacetime at $\mathscr{J}$ is characterized in the presence of a cosmological constant $Λ$ of any sign. To that end, the properties of the asymptotic super-momentum are used. When $Λ=0$, the characterization is equivalent to that based on the News tensor. For $Λ\neq 0$, it provides the first reliable definition of existence of radiation at $\mathscr{J}$, and it gives fully satisfactory results in known exact solutions.

Love it when companies make constant changes to their app so any form of muscle memory you may have had before when clicking something makes you click the wrong thing, again and again, sending you off to some new, weird area of the app they're trying to force in front of your eyeballs.
Thank you for that, companies. How else would I stay annoyed and on my toes

I keep realizing that one of my main differences in behavior is that I don't let fear of loss keep me from connecting with people nor existing comfortably in places.
It plays out in some specific ways. I'm usually the first to volunteer to lend something, and I'm willing to (and in fact most excited to) lend whatever it is to someone I don't know. I know I might not get it back. It’s _fine_.
I'm willing to leave my bike locked up in a part of the city where it might get stolen. It won’t, probably but it might. And that's fine. Annoying, but fine. It's cheap enough to replace. Expensive enough to suck but it's fine.
What I'm tilting at here though is that the constant vigilance to make sure things work out okay and the waiting for low-risk situations cuts us off from a lot of things. Better to have a bit of a "well fuck" budget. Go do the thing. It'll probably be fine. if not, well, it sucks, but ... it's fine.

On the geometric Satake equivalence for Kac-Moody groups
Alexis Bouthier, Eric Vasserot
https://arxiv.org/abs/2510.11466 https://arxiv.org/pdf/2510.11466…

On the geometric Satake equivalence for Kac-Moody groups
This article establishes a geometric Satake equivalence for affine Kac-Moody groups as an equivalence of abelian semisimple categories over algebraically closed fields. We define a well-behaved category of equivariant sheaves on the double affine grassmannian \Gr_{G}, seen as a infty-stack, that we equip with a t-structure. We obtain an Braden's hyperbolic localization theorem for such a stack and prove that the constant term functor is t-exact using dimension estimates for affine MV-cycles. We…

Random-Shift Revisited: Tight Approximations for Tree Embeddings and L1-Oblivious Routings
Rasmus Kyng, Maximilian Probst Gutenberg, Tim Rieder
https://arxiv.org/abs/2510.09124 …

Random-Shift Revisited: Tight Approximations for Tree Embeddings and L1-Oblivious Routings
We present a new and surprisingly simple analysis of random-shift decompositions -- originally proposed by Miller, Peng, and Xu [SPAA'13]: We show that decompositions for exponentially growing scales $D = 2^0, 2^1, \ldots, 2^{\log_2(\operatorname{diam}(G))}$, have a tight constant trade-off between distance-to-center and separation probability on average across the distance scales -- opposed to a necessary $Ω(\log n)$ trade-off for a single scale. This almost immediately yields a way to comp…

u wot m8
"""
First install the version of this crate corresponding to the Fibonacci number you want to use:
cargo add fibonacci-numbers@186 --rename fib186
Then you can use the VALUE constant to get its value:
assert_eq!(fib186::VALUE, 332825110087067562321196029789634457848);
"""
https://

Chaos envelopes Russia, but the cruelty is constant and growing.
With a mindset that defines existence in terms of opposition to the west, the rules of warfare and decency have been disowned.
Giorgio reports from the frontlines in Ukraine, the trenches of the war on democracy.
Trump won't allow US media to report truth - they all bent their knees to the pathetic monster.
Giorgio is not bound by Trump's corruption, he is an Italian hero who puts his life on the…

The White of Surrender, and The Black of Infamy
Live from Ukraine 🇺🇦

Expansion of trivariate polynomials using proximity
Orit E. Raz
https://arxiv.org/abs/2510.12191 https://arxiv.org/pdf/2510.12191

Expansion of trivariate polynomials using proximity
We extend the proximity technique of Solymosi and Zahl [J. Combin. Theory, Ser. A (2024)] to the setting of trivariate polynomials. In particular, we prove the following result: Let $f(x,y,z)=(x-y)^2+(φ(x)-z)^2$, where $φ(x)\in \mathbb{R}[x]$ has degree at least 3. Then, for every finite $A,B,C\subset \mathbb{R}$ each of size $n$, one has $|f(A,B,C)|=Ω(n^{5/3-\varepsilon})$, for every $\varepsilon>0$, where the constant of proportionality depends on $\varepsilon$ and on ${\rm deg}(…

On Uniformly Scaling Flows: A Density-Aligned Approach to Deep One-Class Classification
Faried Abu Zaid, Tim Katzke, Emmanuel M\"uller, Daniel Neider
https://arxiv.org/abs/2510.09452

On Uniformly Scaling Flows: A Density-Aligned Approach to Deep One-Class Classification
Unsupervised anomaly detection is often framed around two widely studied paradigms. Deep one-class classification, exemplified by Deep SVDD, learns compact latent representations of normality, while density estimators realized by normalizing flows directly model the likelihood of nominal data. In this work, we show that uniformly scaling flows (USFs), normalizing flows with a constant Jacobian determinant, precisely connect these approaches. Specifically, we prove how training a USF via maximum…

Holographic CFT phase transitions and criticality for charged Gauss-Bonnet AdS black holes in the ensemble at fixed $(C, \mathcal{V}, \tilde{Q}, \tilde{\mathcal{A}})$
Limin Zeng
https://arxiv.org/abs/2510.05423

Holographic CFT phase transitions and criticality for charged Gauss-Bonnet AdS black holes in the ensemble at fixed $(C, \mathcal{V}, \tilde{Q}, \tilde{\mathcal{A}})$
We study the holographic dual of the extended thermodynamics of spherically symmetric, charged Gauss-Bonnet AdS black holes in the context of the AdS/CFT correspondence. The gravitational thermodynamics of Gauss-Bonnet AdS black holes can be extended by allowing for variations of the cosmological constant and Newton's constant. In the dual CFT this corresponds to including the central charge C and its chemical potential $μ$ as a new pair of conjugate thermodynamic variables. In addition, compa…

Fair Assignment of Indivisible Chores to Asymmetric Agents
Masoud Seddighin, Saeed Seddighin
https://arxiv.org/abs/2510.10698 https://arxiv.org/pdf/2510.10…

Fair Assignment of Indivisible Chores to Asymmetric Agents
We consider the problem of assigning indivisible chores to agents with different entitlements in the maximin share value (\MMS) context. While constant-\MMS\ allocations/assignments are guaranteed to exist for both goods and chores in the symmetric setting, the situation becomes much more complex when agents have different entitlements. For the allocation of indivisible goods, it has been proven that an $n$-\WMMS\ (weighted \MMS) guarantee is the best one can hope for. For indivisible chores, h…

The Constant Speed Schedule for Adiabatic State Preparation: Towards Quadratic Speedup without Prior Spectral Knowledge
Mancheon Han, Hyowon Park, Sangkook Choi
https://arxiv.org/abs/2510.01923

The Constant Speed Schedule for Adiabatic State Preparation: Towards Quadratic Speedup without Prior Spectral Knowledge
The efficiency of adiabatic quantum evolution is governed by the adiabatic evolution time, \(T\), which depends on the minimum energy gap, \(Δ\). For a generic schedule, \(T\) typically scales as \(Δ^{-2}\), whereas the rigorous lower bound is \(\mathcal{O}(Δ^{-1})\). This indicates the potential for a quadratic speedup through the adiabatic schedule construction. Here, we introduce the constant speed schedule, which traverses the adiabatic path of the eigenstate at a uniform rate. We first …

Nonhomothetic complete periodic metrics with constant scalar curvature
Jo\~ao H. Andrade, Jeffrey S. Case, Paolo Piccione, Juncheng Wei
https://arxiv.org/abs/2510.04351 https://…

Nonhomothetic complete periodic metrics with constant scalar curvature
We show that there are infinitely many pairwise nonhomothetic, complete, periodic metrics with constant scalar curvature that are conformal to the round metric on $S^n\setminus S^k$, where $k < \frac{n-2}{2}$. These metrics are obtained by pulling back Yamabe metrics defined on products of $S^{n-k-1}$ and compact hyperbolic $(k+1)$-manifolds. Our main result proves that these solutions are generically distinct up to homothety. The core of our argument relies on classical rigidity theorems due t…

Maximum displacement of critical centered branching random walks under minimal assumptions
Thomas Leh\'ericy (Universit\"at Z\"urich)
https://arxiv.org/abs/2510.12034

Maximum displacement of critical centered branching random walks under minimal assumptions
We study the critical centered branching random walk with offspring and displacement distributions having finite variance, under minimal assumptions on its structure. We show that the probability that the position of the right-most particle is larger than $r$ decays like an explicit constant times $r^{-2}$; this generalizes an earlier result by Lalley and Shao. In addition, we obtain the convergence in distribution of the progeny of the branching random walk conditioned on the position of the r…

Fast and Accurate Intersections on a Sphere
Hongyu Chen, Paul A. Ullrich, Julian Panetta
https://arxiv.org/abs/2510.09892 https://arxiv.org/pdf/2510.09892

Fast and Accurate Intersections on a Sphere
We introduce a fast, high-precision algorithm for calculating intersections between great circle arcs and lines of constant latitude on the unit sphere. We first propose a simplified intersection point formula with improved speed and numerical robustness over the ones traditionally implemented in geoscience software. We then show how algorithms based on the concept of error-free transformations (EFT) can be applied to evaluate this formula within a relative error bound that is on the order of m…

AC^0[p]-Frege Cannot Efficiently Prove that Constant-Depth Algebraic Circuit Lower Bounds are Hard
Jiaqi Lu, Rahul Santhanam, Iddo Tzameret
https://arxiv.org/abs/2509.16824 http…

AC^0[p]-Frege Cannot Efficiently Prove that Constant-Depth Algebraic Circuit Lower Bounds are Hard
We study whether lower bounds against constant-depth algebraic circuits computing the Permanent over finite fields (Limaye-Srinivasan-Tavenas, J. ACM 2025; Forbes, CCC 2024) are hard to prove in certain proof systems. We focus on a DNF formula that expresses that such lower bounds are hard for constant-depth algebraic proofs. Using an adaptation of the diagonalization framework of Santhanam and Tzameret (SIAM J. Comput. 2025), we show unconditionally that this family of DNF formulas does not ad…

Radial Velocity Monitoring and Analysis of Gaia Astrometry of Selected Intermediate Mass Stars to Constrain Their Multiplicity Status
J. B\"atz, M. Mugrauer, K. -U. Michel, J. Reichert, A. Tschirschky, L. Pietsch, F. Edelmann, R. Neuh\"auser
https://arxiv.org/abs/2510.09772

Radial Velocity Monitoring and Analysis of Gaia Astrometry of Selected Intermediate Mass Stars to Constrain Their Multiplicity Status
We present new radial velocity measurements of 13 selected intermediate mass stars (2 - 6 M$_\odot$). The measurements were performed between 29 April and 6 September 2024 at the University Observatory Jena using the échelle spectrograph FLECHAS. The radial velocity of eight stars was found to be constant during our spectroscopic monitoring, namely: 17 Dra A, HD 148374, HD 169487 A, 57 Cnc, $γ$ And, HD 11031, $κ$ And, and $λ$ Cas. In contrast, the radial velocity of five stars showed signif…

Fast radio bursts shed light on direct gravity test on cosmological scales
Shuren Zhou, Pengjie Zhang
https://arxiv.org/abs/2510.11022 https://arxiv.org/pd…

Fast radio bursts shed light on direct gravity test on cosmological scales
A key measure of gravity is the relation between the Weyl potential $Ψ+Φ$ and the matter overdensity $δ_m$, capsulized as an effective gravitational constant $G_{\rm light}$ for light motion. Its value, together with the possible spatial and temporal variation, is essential in probing physics beyond Einstein gravity. However, the lack of an unbiased proxy of $δ_m$ prohibits direct measurement of $G_{\rm light}$. We point out that the equivalence principle ensures the dispersion measure (DM)…

Compactness of conformal metrics with constant $Q$-curvature of higher order
Saikat Mazumdar, Bruno Premoselli
https://arxiv.org/abs/2510.00888 https://arx…

Compactness of conformal metrics with constant $Q$-curvature of higher order
Let $k\ge1$ be a positive integer and let $P_g$ be the GJMS operator $P_{g}$ of order $2k$ on a closed Riemannian manifold $(M,g)$ of dimension $n>2k$. We investigate the compactness of the set of conformal metrics to $g$ with prescribed constant positive $Q$-curvature of order $2k$- or, equivalently, of the set of positive solutions for the $2k$-th order $Q$-curvature equation. Under a natural positivity-preserving condition on $P_{g}$ we establish compactness, for an arbitrary $1 \le k < \fra…

Gravitational Waves on Kerr Black Holes II: Metric Reconstruction with Cosmological Constant
Roman Berens, Trevor Gravely, Alexandru Lupsasca
https://arxiv.org/abs/2510.07712 ht…

Gravitational Waves on Kerr Black Holes II: Metric Reconstruction with Cosmological Constant
In this second paper of our series started with \cite{Berens2024}, we investigate linearized gravitational perturbations of a rotating Kerr black hole in a non-asymptotically flat spacetime with (anti-)de Sitter boundary conditions. Here, we explicitly write down the metric components (in both ingoing and outgoing radiation gauge) of the perturbations that correspond to a given mode of either Weyl scalar. We provide formulas involving Hertz potentials (intermediate quantities with a holographic…

Measurement-induced entanglement in noisy 2D random Clifford circuits
Zhi-Yuan Wei, Jon Nelson, Joel Rajakumar, Esther Cruz, Alexey V. Gorshkov, Michael J. Gullans, Daniel Malz
https://arxiv.org/abs/2510.12743

Measurement-induced entanglement in noisy 2D random Clifford circuits
We study measurement-induced entanglement generated by column-by-column sampling of noisy 2D random Clifford circuits of size $N$ and depth $T$. Focusing on the operator entanglement $S_{\rm op}$ of the sampling-induced boundary state, first, we reproduce in the noiseless limit a finite-depth transition from area- to volume-law scaling. With on-site probablistic trace noise at any constant rate $p>0$, the maximal $S_{\rm op}$ attained along the sampling trajectory obeys an area law in the bound…

Psi-Turing Machines: Bounded Introspection for Complexity Barriers and Oracle Separations
Rafig Huseynzade
https://arxiv.org/abs/2510.08577 https://arxiv.o…

Psi-Turing Machines: Bounded Introspection for Complexity Barriers and Oracle Separations
We introduce Psi-Turing Machines (Psi-TM): classical Turing machines equipped with a constant-depth introspection interface $ ι$ and an explicit per-step information budget $ B(d,n)=c\,d\log_2 n $. With the interface frozen, we develop an information-theoretic lower-bound toolkit: Budget counting, $ Ψ$-Fooling, and $ Ψ$-Fano, with worked examples $ L_k $ and $ L_k^{\mathrm{phase}} $. We prove an oracle-relative separation $ P^Ψ \neq NP^Ψ $ and a strict depth hierarchy, reinforced by an Ant…

Shift vector symmetry in the Alcubierre warp drive spacetime geometry
Osvaldo L. Santos-Pereira, Everton M. C. Abreu, Marcelo B. Ribeiro
https://arxiv.org/abs/2510.11836 https:/…

Shift vector symmetry in the Alcubierre warp drive spacetime geometry
This work explores the set of coupled partial differential equations of the Einstein equations yielding vacuum solutions in the original Alcubierre warp drive metric with the cosmological constant. It is shown that under an appropriate ansatz they reveal a Burgers-type equation and a heat-type equation. These results indicate that the spacetime distortion carrying a mass particle at superluminal speeds, the Alcubierre warp bubble, may be interpreted as a geometric analog of a propagating shock …

Is Dark Energy Changing? Probing the Universe's Expansion with present and future astronomical probes
Mehdi Rezaei, Supriya Pan, Weiqiang Yang, David F. Mota
https://arxiv.org/abs/2510.09766

Is Dark Energy Changing? Probing the Universe's Expansion with present and future astronomical probes
This study explores the possibility of a time-varying dark energy (DE) equation of state (EoS) deviating from -1. We employ a comprehensive dataset of usual astronomical probes (Type Ia supernovae, baryon acoustic oscillations, Big Bang nucleosynthesis, Hubble data, and Planck 2018 CMB) alongside future mock gravitational wave (GW) distance measurements from the Einstein Telescope. We utilize the Pad'e approximation, a versatile framework encompassing well-known DE models like constant EoS, Che…

Non-Asymptotic Analysis of Efficiency in Conformalized Regression
Yunzhen Yao, Lie He, Michael Gastpar
https://arxiv.org/abs/2510.07093 https://arxiv.org/p…

Non-Asymptotic Analysis of Efficiency in Conformalized Regression
Conformal prediction provides prediction sets with coverage guarantees. The informativeness of conformal prediction depends on its efficiency, typically quantified by the expected size of the prediction set. Prior work on the efficiency of conformalized regression commonly treats the miscoverage level $α$ as a fixed constant. In this work, we establish non-asymptotic bounds on the deviation of the prediction set length from the oracle interval length for conformalized quantile and median regre…

Constructions of Compact Dupin Hypersurfaces with Non-constant Lie Curvatures
Thomas E. Cecil
https://arxiv.org/abs/2509.21235 https://arxiv.org/pdf/2509.2…

Constructions of Compact Dupin Hypersurfaces with Non-constant Lie Curvatures
A hypersurface $M$ in the unit sphere $S^n \subset {\bf R}^{n+1}$ is Dupin if along each curvature surface of $M$, the corresponding principal curvature is constant. If the number $g$ of distinct principal curvatures is constant on $M$, then $M$ is called proper Dupin. In this expository paper, we give a detailed description of two important types of constructions of compact proper Dupin hypersurfaces in $S^n$. One construction was published in 1989 by Pinkall and Thorbergsson, and the second w…

Extending CSST Emulator to post-DESI era
Zhao Chen, Yu Yu
https://arxiv.org/abs/2510.09503 https://arxiv.org/pdf/2510.09503

Extending CSST Emulator to post-DESI era
The recent DESI BAO measurements have revealed a potential deviation from a cosmological constant, suggesting a dynamic nature of dark energy. To rigorously test this result, complementary probes such as weak gravitational lensing are crucial, demanding highly accurate and efficient predictions of the nonlinear matter power spectrum within the $w_0w_a$CDM framework. However, most existing emulators fail to cover the full parameter posterior from DESI DR2+CMB constraints in the $w_0\mbox{-}w_a$ …

Nonsingular Schwarzschild-de Sitter black holes in finite conformal quantum gravity
Diego A. Mart\'inez-Valera
https://arxiv.org/abs/2510.05466 https://

Nonsingular Schwarzschild-de Sitter black holes in finite conformal quantum gravity
In this work, we prove that the classical Schwarzschild-de Sitter spacetime is an exact solution of a class of weakly non-local, UV finite conformal quantum gravity theories, without the necessity of including a cosmological constant term in the action, thus associating the effective cosmological constant $Λ$ appearing in the metric with the coupling constants of the quantum gravity theory. Furthermore, exploiting the inherent conformal symmetry of the theory, we take advantage of the natural …

Linear-Size QAC0 Channels: Learning, Testing and Hardness
Yangjing Dong, Fengning Ou, Penghui Yao
https://arxiv.org/abs/2510.00593 https://arxiv.org/pdf/25…

Linear-Size QAC0 Channels: Learning, Testing and Hardness
Shallow quantum circuits have attracted increasing attention in recent years, due to the fact that current noisy quantum hardware can only perform faithful quantum computation for a short amount of time. The constant-depth quantum circuits $\mathbf{QAC}^0$, a quantum counterpart of $\mathbf{AC}^0$ circuits, are the polynomial-size and constant-depth quantum circuits composed of only single-qubit unitaries and polynomial-size generalized Toffoli gates. The computational power of $\mathbf{QAC}^0$…

Generalized Distributions of Host Dispersion Measures in the Fast Radio Burst Cosmology
Jing-Yi Jia, Da-Chun Qiang, Lin-Yu Li, Hao Wei
https://arxiv.org/abs/2510.09463 https://

Generalized Distributions of Host Dispersion Measures in the Fast Radio Burst Cosmology
As is well known, Hubble tension is one of the most serious challenges in cosmology to date. So, it is of interest to measure the Hubble constant by using some new probes independent of cosmic microwave background (CMB) and type Ia supernovae (SNIa). One of the promising probes is the fast radio bursts (FRBs), which could be useful in cosmology. In the literature, the methodology proposed by Macquart {\it et al.} has been widely used, in which both $\rm DM_{IGM}$ and $\rm DM_{host}$ are describ…

Grey-body factors and absorption cross-sections of scalar and Dirac fields in the vicinity of dilaton-de Sitter black hole
Bekir Can L\"utf\"uo\u{g}lu
https://arxiv.org/abs/2510.10579

Grey-body factors and absorption cross-sections of scalar and Dirac fields in the vicinity of dilaton-de Sitter black hole
We investigate the propagation of a massive scalar field and a massless Dirac field in the geometry of a dilaton--de Sitter black hole. Starting from the covariant perturbation equations, we derive the corresponding effective potentials and analyze their dependence on the dilaton charge, field mass, and cosmological constant. Using the WKB approximation, we compute the grey-body factors and study the associated absorption cross-sections. The results show that increasing the field mass or dilato…

Non-Clifford Gates are Required for Long-Term Memory
Jon Nelson, Joel Rajakumar, Michael J. Gullans
https://arxiv.org/abs/2510.08451 https://arxiv.org/pdf/…

Non-Clifford Gates are Required for Long-Term Memory
We show that all Clifford circuits under interspersed depolarizing noise lose memory of their input exponentially quickly, even when given access to a constant supply of fresh qubits in arbitrary states. This is somewhat surprising given the result of Aharonov et al. [STOC1997] which gives a fault-tolerant protocol for general quantum circuits using a supply of fresh qubits. Our result shows that such a protocol is impossible using only Clifford gates demonstrating that non-Clifford gates are f…

Cosmological implications of LRS Bianchi type-I cosmological model in $f(T)$ gravity
Shivangi Rathore, S. Surendra Singh
https://arxiv.org/abs/2510.10428 https://

Cosmological implications of LRS Bianchi type-I cosmological model in $f(T)$ gravity
We perform the dynamical system analysis of the Locally Rotationally Symmetric (LRS) Bianchi type-I cosmological model in f(T) gravity in the presence of energy interaction . A cosmologically viable form of $f(T)$ is chosen (where $T$ is the torsion scalar in teleparallelism) in the background of homogenous and anisotropic. For our model, we take $f(T) = T+ζT^{2}$ where $ζ$ is a constant. The evolution equations are reduced to the autonomous system of differential equations by suitable transf…

Average-case quantum complexity from glassiness
Alexander Zlokapa, Bobak T. Kiani, Eric R. Anschuetz
https://arxiv.org/abs/2510.08497 https://arxiv.org/pdf…

Average-case quantum complexity from glassiness
Glassiness -- a phenomenon in physics characterized by a rough free-energy landscape -- implies hardness for stable classical algorithms. For example, it can obstruct constant-time Langevin dynamics and message-passing in random $k$-SAT and max-cut instances. We provide an analogous framework for average-case quantum complexity showing that a natural family of quantum algorithms (e.g., Lindbladian evolution) fails for natural Hamiltonian ensembles (e.g., random 3-local Hamiltonians). Specifical…