Tootfinder

An Analogy of Frequency Droop Control for Grid-forming Sources
Minghui Lu, Brett Ross
https://arxiv.org/abs/2508.07177 https://arxiv.org/pdf/2508.07177

An Analogy of Frequency Droop Control for Grid-forming Sources
In this paper, we present an analogy for a power system dominated by grid-forming (GFM) sources that proves to be a powerful visualization tool for analyses of power flow, frequency regulation, and power dispatch. Frequency droop characteristics of a typical GFM source are exactly reflected by an ordinary model of water vessels. The frequency is represented by visible water levels while the droop slope is reified by the vessel sizes. This proposed analogy allows us to use the intuitive water-fl…

Value bounds and Convergence Analysis for Averages of LRP attributions
Alexander Binder, Nastaran Takmil-Homayouni, Urun Dogan
https://arxiv.org/abs/2509.08963 https://

Value bounds and Convergence Analysis for Averages of LRP attributions
We analyze numerical properties of Layer-wise relevance propagation (LRP)-type attribution methods by representing them as a product of modified gradient matrices. This representation creates an analogy to matrix multiplications of Jacobi-matrices which arise from the chain rule of differentiation. In order to shed light on the distribution of attribution values, we derive upper bounds for singular values. Furthermore we derive component-wise bounds for attribution map values. As a main result,…

Oh my, the shooting was horrible, right in the middle of him speaking. Just, snuffed out. A human being gone just like that. I once saw someone make an analogy to human death like that, being able to kill a human so simply is like destroying the empire state building with a ball of paper.
#charliekirk #usa

The analogy theorem in Hoare logic
Nikitin Nikita
https://arxiv.org/abs/2510.03685 https://arxiv.org/pdf/2510.03685…

The analogy theorem in Hoare logic
The introduction of machine learning methods has led to significant advances in automation, optimization, and discoveries in various fields of science and technology. However, their widespread application faces a fundamental limitation: the transfer of models between data domains generally lacks a rigorous mathematical justification. The key problem is the lack of formal criteria to guarantee that a model trained on one type of data will retain its properties on another.This paper proposes a so…

Emergence of Entropic Time in a Tabletop Wheeler-DeWitt Universe
Giovanni Barontini
https://arxiv.org/abs/2509.07745 https://arxiv.org/pdf/2509.07745

Emergence of Entropic Time in a Tabletop Wheeler-DeWitt Universe
We implement an analogue Wheeler-DeWitt mini-universe constituted by a well-isolated atomic Bose-Einstein condensate in a time-independent conservative potential. In exact analogy with the Wheeler-DeWitt framework for the actual universe, our system has the fundamental problem of defining from within a meaningful time variable over which to order the events. Here, we partition the mini-universe into a bright and a dark sector, enabling entropy exchange between them through a potential barrier. …

Free oscillations of a standing surface wave and its mechanical analogue
Nikhil Yewale, Sakir Amiroudine, Ratul Dasgupta
https://arxiv.org/abs/2509.07446 https://

Free oscillations of a standing surface wave and its mechanical analogue
We present an analogy between natural oscillations of the standing wave type on a pool of liquid with an interface and a mechanical oscillator model. It is shown that the equations of motion governing both systems have qualitatively similar solutions - trivial as well as time-periodic with finite amplitude. The time-periodic solutions can be linearly unstable in both cases depending on the oscillation amplitude, thereby leading to interesting dynamics. Linear stability results of both systems a…

The Space-Time Connectivity Theorem for Normal Currents
Paolo Bonicatto, Filip Rindler, Harry Turnbull
https://arxiv.org/abs/2510.08360 https://arxiv.org/p…

The Space-Time Connectivity Theorem for Normal Currents
This work establishes a Space-Time Connectivity Theorem for normal currents. In analogy to classical results by Federer and Fleming as well as a recent theorem for integral currents by the second author, this result allows one to witness the weak* convergence of a uniformly bounded sequence of boundaryless normal currents with a space-time normal current that connects the elements of the sequence with their limit. The space-time setting is distinguished from the classical case in that this conn…

https://www.smbc-comics.com/comic/2010-09-09
This is a stupid analogy

Economic thermodynamics and inflation
\.Idris Demir, Ali \.Ihsan Keskin
https://arxiv.org/abs/2510.07544 https://arxiv.org/pdf/2510.07544

Economic thermodynamics and inflation
This study presents a computational and theoretical framework inspired by thermodynamic principles to analyze the dynamics of economic inflation within adiabatic and non-adiabatic systems. In a framework referred to as developmental symmetry, inflation is formulated as a scalar field evolving through continuity equations, drawing an analogy with the Raychaudhuri equation in gravitational dynamics. The results show that adiabatic systems fail to reach equilibrium, while non-adiabatic systems can…

Proper conflict-free degree-choosability of outerplanar graphs
Masaki Kashima, Riste \v{S}krekovski, Rongxing Xu
https://arxiv.org/abs/2509.06280 https://a…

Proper conflict-free degree-choosability of outerplanar graphs
A proper coloring $ϕ$ of $G$ is called a proper conflict-free coloring of $G$ if for every non-isolated vertex $v$ of $G$, there is a color $c$ such that $|ϕ^{-1}(c)\cap N_G(v)|=1$. As an analogy to degree-choosability of graphs, the authors recently, in a previous paper, introduced the notion of proper conflict-free $({\rm degree}+k)$-choosability of graphs. For a non-negative integer $k$, a graph $G$ is proper conflict-free $({\rm degree}+k)$-choosable if for any list assignment $…

Janus Skyrmion: Interfacial Quasiparticle with Two-Faced Helicity
Xichao Zhang, Rui Zhang, Qiming Shao, Yan Zhou, Charles Reichhardt, Cynthia J. O. Reichhardt, Masahito Mochizuki
https://arxiv.org/abs/2509.07394

Janus Skyrmion: Interfacial Quasiparticle with Two-Faced Helicity
Janus particles are functional particles with at least two surfaces showing asymmetric properties. We show at the interface between two magnetic regions with different antisymmetric exchange interactions, a new species of topological quasiparticles can emerge, in which different helicity structures can coexist. We name such an interfacial quasiparticle a "Janus skyrmion", in analogy to the Janus particle. As the Janus skyrmion shows helicity asymmetry, its size could vary with both the in-plane…

Understanding the well-rounded deformation retraction of Teichm\"uller space
Ingrid Irmer
https://arxiv.org/abs/2509.06339 https://arxiv.org/pdf/2509.…

Understanding the well-rounded deformation retraction of Teichmüller space
In [10] it was shown that there is a mapping class group-equivariant deformation retraction of the Teichmüller space of a closed surface onto a CW complex with dimension equal to the virtual cohomological dimension of the mapping class group. This paper studies the image of this deformation retraction and shows that when the analogy with the well-rounded deformation retraction of $SL(n,\mathbb{Z})$ is defined correctly via a notion of duality, this deformation retraction is analogous to the we…

Analogy between Learning With Error Problem and Ill-Posed Inverse Problems
Gaurav Mittal
https://arxiv.org/abs/2508.21653 https://arxiv.org/pdf/2508.21653

Analogy between Learning With Error Problem and Ill-Posed Inverse Problems
In this work, we unveil an analogy between well-known lattice based learning with error problem and ill-posed inverse problems. We show that LWE problem is a structured inverse problem. Further, we propose a symmetric encryption scheme based on ill-posed problems and thoroughly discuss its security. Finally, we propose a public key encryption scheme based on our symmetric encryption scheme and CRYSTALS-Kyber KEM (key encapsulation mechanism) and discuss its security.

Quantitative Mapping of the Loeb Scale
Oem Trivedi, Abraham Loeb
https://arxiv.org/abs/2509.06253 https://arxiv.org/pdf/2509.06253

Quantitative Mapping of the Loeb Scale
The recent discovery of a third interstellar object (ISO) 3I/ATLAS, following 1I/`Oumuamua and 2I/Borisov, has raised questions about the nature and origin of these enigmatic objects. With the Vera C. Rubin Observatory expected to discover dozens of new ISOs over the next decade, it is timely to use a classification scheme for their nature in the context of the recently proposed Loeb scale. Here, we provide a formalism for ranking ISOs quantitatively on the Loeb Scale in analogy to Sagan's form…

Characteristic polynomials of tensors via Grassmann integrals and distributions of roots for random Gaussian tensors
Nicolas Delporte, Giacomo La Scala, Naoki Sasakura, Reiko Toriumi
https://arxiv.org/abs/2510.04068

Characteristic polynomials of tensors via Grassmann integrals and distributions of roots for random Gaussian tensors
We propose a new definition of characteristic polynomials of tensors based on a partition function of Grassmann variables. This new notion of characteristic polynomial addresses general tensors including totally antisymmetric ones, but not totally symmetric ones. Drawing an analogy with matrix eigenvalues obtained from the roots of their characteristic polynomials, we study the roots of our tensor characteristic polynomial. Unlike standard definitions of eigenvalues of tensors of dimension $N$ …

Weak-Coppel problem for a class of Riccati differential equations
Armengol Gasull, Douglas D. Novaes, Joan Torregrosa
https://arxiv.org/abs/2509.04612 https://

Weak-Coppel problem for a class of Riccati differential equations
We study the $T$-periodic solutions of the real Riccati differential equation $x' = x^2 + γ(t),$ where $x=x(t)$ and $γ$ is a $T$-periodic function. Our goal is to define a real-valued discriminant $Δ_γ$ that determines whether the equation admits two, one, or no $T$-periodic solutions, in analogy with the classical discriminant of the quadratic algebraic equations. This problem is closely related to a question posed by Coppel concerning the characterization of bifurcation curves for planar …

From a Bloomberg newsletter. I guess if enough people believe Btc holds real value, then by definition it does, by analogy with gold. Still makes my skin crawl.
#Bitcoin

The optical analogy between a Lorentz-violating cosmos and a Magneto-Electric medium
Iman Motie, Brahim Lamine, Alain Blanchard, R\'emy Battesti, Carlo Rizzo
https://arxiv.org/abs/2509.19388

The optical analogy between a Lorentz-violating cosmos and a Magneto-Electric medium
The goal of our study is to investigate the effects of Lorentz symmetry violation by examining the behavior of photons within the framework of the Standard Model Extension (SME). We show that, from an optical point of view, the Lorentz-violating cosmos is analogous to a Magneto-Electric medium like the quantum vacuum in the presence of the magnetic and electric field. This analogy provides a formulation for exploring experimental evidence of Lorentz symmetry violation in the propagation of ligh…

Open-system analogy of Berry conjecture
Yaohua Li, Yunhan Wang, Yong-Chun Liu
https://arxiv.org/abs/2509.14644 https://arxiv.org/pdf/2509.14644

Open-system analogy of Berry conjecture
Berry conjecture is central to understanding quantum chaos in isolated systems and foundational for the eigenstate thermalization hypothesis. Here we establish an open-system analogy of the Berry conjecture, connecting quantum steady states to classical dissipative attractors in the semiclassical limit. We demonstrate that the Wigner distribution of quantum steady states delocalizes over classical chaotic attractors in the semiclassical limit. We validate this correspondence using a Floquet Ker…

from my link log —
Why is cloud file-sharing hard? By analogy with programming misconceptions.
https://blog.brownplt.org/2025/08/25/cloud-sharing.html
saved 2025-08-25

If you don’t want to be compared to Nazis and called fascists, here’s a simple rule of thumb:
STOP COMMITTING GENOCIDE, YOU SICK FUCKS. https://mastodon.social/@8124/115215365985382080

I actually like the analogy of a hammer made of rubber. When you use it (as a junior developer or a non-programmer), you're as likely to miss the nail as you are to hit it, and it might also bounce in your face.

X-ray emission of F-type stars and its analogy with G-type stars
Takuma Shimura, Ikuyuki Mitsuishi, Masanobu Kunitomo, Shinsuke Takasao, Yuki A. Tanaka, Koki Sakuta
https://arxiv.org/abs/2509.18677

End-users have trouble sharing files on the cloud. Are these mistakes just random confusion from non-technical users? No: we show that there's a deep analogy to *programming* misconceptions! Surprised? Read more here:
"Sharing is Scaring: Why is Cloud File-Sharing Hard?"
https://blog.brownplt.org…

A dynamical systems perspective on the thermodynamics of late-time cosmology
Dipayan Mukherjee, Harkirat Singh Sahota, Swati Gavas
https://arxiv.org/abs/2509.04964 https://

A dynamical systems perspective on the thermodynamics of late-time cosmology
A thermodynamic description of cosmological spacetimes may provide insights into the fundamentals of the cosmic evolution that remain otherwise obscure, in close analogy with 'black hole thermodynamics'. We investigate the thermodynamic properties of late-time cosmological evolution using the dynamical systems approach, focusing on the $Λ$CDM model and quintessence models with an exponential potential. Thermodynamic quantities obtained through the Hayward-Kodama formalism are mapped onto the p…

Universal Structure of Turbulent Radiative Mixing Layers
Prateek Sharma, Arnav Kumar, Dipayan Datta, Arif Babul, Rishita Das, Konduri Aditya
https://arxiv.org/abs/2509.03802 htt…

Universal Structure of Turbulent Radiative Mixing Layers
Turbulent radiative mixing layers (TRMLs), where shear-driven turbulence between dense and diffuse phases produces intermediate-temperature gas with short cooling times, are ubiquitous in the interstellar and circumgalactic media. Drawing an analogy with Reynolds' decomposition, we perform a quasi-steady-state analysis of TRMLs, separating fields into mean and turbulent components. In the quasi-isobaric TRML, upstream gas cools and compresses before streamwise momentum is fully mixed across the…

The \'etale fundamental group and $F$-divided sheaves in characteristic $p>0$
Xiaotao Sun, Lei Zhang
https://arxiv.org/abs/2509.24360 https://arxiv.…

The étale fundamental group and $F$-divided sheaves in characteristic $p>0$
We investigate how the étale fundamental group controls local systems in characteristic $p$, namely $F$-divided sheaves. In analogy with Grothendieck-Malcev's results for discrete groups, we show that if a morphism $f \colon Y \to X$ of smooth projective varieties over $k=\bar{k}$ induces a surjection on the étale fundamental groups, then the pullback functor ${\rm Fdiv}(X)\to {\rm Fdiv}(Y)$ is fully faithful. If $f$ is surjective and the induced map is an isomorphism, then the functor is an …

Particle creation in a cosmological background in analogy to the #Schwinger effect: https://arxiv.org/abs/2510.09481-> summary from 1st author: https://scicomm.xyz/@ncgnl@mathstodon.xyz/115383289061077503 / thread from 3rd author: https://scicomm.xyz/@hfalcke@mastodon.social/115383564116913734

Excursion Set Approach to Primordial Black Holes: Cloud-in-Cloud and Mass Function Revisited
Ashu Kushwaha, Teruaki Suyama
https://arxiv.org/abs/2509.25871 https://

Excursion Set Approach to Primordial Black Holes: Cloud-in-Cloud and Mass Function Revisited
The abundance and mass function of primordial black holes (PBHs) are often estimated using the Press-Schechter (PS) formalism. In the case of halo formation, the PS formalism suffers from the miscounting of regions collapsing into halos, known as the cloud-in-cloud problem, which is usually corrected by introducing a multiplicative `fudge factor 2'. By analogy, this factor has sometimes been applied to PBH calculations, although its validity has remained unsettled. We reformulate the PS approac…

Improving in-context learning with a better scoring function
Omar Naim, Swarnadeep Bhar, J\'er\^ome Bolte, Nicholas Asher
https://arxiv.org/abs/2508.14685 https://

Improving in-context learning with a better scoring function
Large language models (LLMs) exhibit a remarkable capacity to learn by analogy, known as in-context learning (ICL). However, recent studies have revealed limitations in this ability. In this paper, we examine these limitations on tasks involving first-order quantifiers such as {\em all} and {\em some}, as well as on ICL with linear functions. We identify Softmax, the scoring function in attention mechanism, as a contributing factor to these constraints. To address this, we propose \textbf{scale…

Ecological Cycle Optimizer: A novel nature-inspired metaheuristic algorithm for global optimization
Boyu Ma, Jiaxiao Shi, Yiming Ji, Zhengpu Wang
https://arxiv.org/abs/2508.20458

Ecological Cycle Optimizer: A novel nature-inspired metaheuristic algorithm for global optimization
This article proposes the Ecological Cycle Optimizer (ECO), a novel metaheuristic algorithm inspired by energy flow and material cycling in ecosystems. ECO draws an analogy between the dynamic process of solving optimization problems and ecological cycling. Unique update strategies are designed for the producer, consumer and decomposer, aiming to enhance the balance between exploration and exploitation processes. Through these strategies, ECO is able to achieve the global optimum, simulating th…

Modelling birdsong transmission with methods from molecular sequence analysis
Anthony Kwong, Mark Muldoon
https://arxiv.org/abs/2508.20833 https://arxiv.or…

Modelling birdsong transmission with methods from molecular sequence analysis
In many species of songbirds, juvenile males learn their songs from adult male tutors. In this paper we formulate a novel Markov model for birdsong transmission developed by analogy with models used in biological sequence analysis. We fit the model using the recently developed Interacting Particle Langevin Algorithm (IPLA) of Akyildiz et al. (arXiv:2303.13429) and analyse a collection of songs from Java sparrows (Lonchura oryzivora) originally recorded and studied by Masayo Soma and her collabo…

Computing the Level of a Fiber for Points on Modular Curves
Hailey Maxwell
https://arxiv.org/abs/2508.17463 https://arxiv.org/pdf/2508.17463

Computing the Level of a Fiber for Points on Modular Curves
The modular curves in the family $X_1(N)$ for natural numbers $N$ parametrize elliptic curves over the complex numbers with a distinguished point of order $N$. The purpose of this paper is to better understand how to calculate the degrees of points on $X_1(\ell^n)$ for a prime $\ell$ and arbitrary positive integer $n$. In analogy with the definition of the level of a Galois representation, we construct a new definition: the level of a fiber of a closed point on a modular curve. Using this defin…

It wasn't enough that the HFR devs had to go through getting shut down and brought back to life after getting Xbox their only GOTY in years, now the company that saved them is gonna shitfuck their IP, stories like this suck so much that I can't even muster up an analogy, it just fucking sucks. https://www.threads…

Culture Crave 🍿 (@culturecrave) on Threads
Krafton says they are now an 'AI first' company Franchises they own include 'PUBG' and 'Hi-Fi Rush

Astrophysical Consequences of an Electroweak $\etaw$ Pseudo-Scalar
Hooman Davoudiasl
https://arxiv.org/abs/2510.02310 https://arxiv.org/pdf/2510.02310

Astrophysical Consequences of an Electroweak $\etaw$ Pseudo-Scalar
Recently, it has been suggested that the spectrum of physical states in the Standard Model may include an ultralight pseudo-scalar, denoted by $η_w$, in analogy with the $η'$ state arising from the strong interactions. We find that typical expectations for the properties of $η_w$ get challenged by astrophysical constraints on the couplings of ultralight bosons. Our strongest limit sets a lower bound of O(1000 TeV) on the decay constant of the hypothesized pseudo-scalar. We also briefly discu…

Shapes of Cognition for Computational Cognitive Modeling
Marjorie McShane, Sergei Nirenburg, Sanjay Oruganti, Jesse English
https://arxiv.org/abs/2509.13288 https://

Shapes of Cognition for Computational Cognitive Modeling
Shapes of cognition is a new conceptual paradigm for the computational cognitive modeling of Language-Endowed Intelligent Agents (LEIAs). Shapes are remembered constellations of sensory, linguistic, conceptual, episodic, and procedural knowledge that allow agents to cut through the complexity of real life the same way as people do: by expecting things to be typical, recognizing patterns, acting by habit, reasoning by analogy, satisficing, and generally minimizing cognitive load to the degree si…

Phase transitions in quantum dot-Majorana zero mode coupling systems
Yue Mao, Qing-Feng Sun
https://arxiv.org/abs/2509.04002 https://arxiv.org/pdf/2509.040…

Phase transitions in quantum dot-Majorana zero mode coupling systems
The magnetic doublet ground state (GS) of a quantum dot (QD) could be changed to a spin-singlet GS by coupling to a superconductor. In analogy, here we study the GS phase transitions in QD-Majorana zero mode (MZM) coupling systems: GS behaves phase transition versus intra-dot energy level and QD-MZM coupling strength. The phase diagrams of GS are obtained, for cases with and without Zeeman term. Along with the phase transition, we also study the change of spin feature and density of states. The…

The Frenkel line and the pseudogap: an analogy between classical and electronic fluids
J. Fournier, P. -O. Downey, O. Gingras, C. -D. H\'ebert, M. Charlebois, A. -M. S. Tremblay
https://arxiv.org/abs/2509.18317

Global Anomalies in Sigma Models with Majorana--Weyl Fermions
Changha Choi
https://arxiv.org/abs/2508.14895 https://arxiv.org/pdf/2508.14895

Global Anomalies in Sigma Models with Majorana--Weyl Fermions
We investigate a global sigma model anomaly in two-dimensional sigma models with Majorana--Weyl fermions coupled to a sigma model field with target space~$G$. The anomaly originates from the nontrivial topology of the space of maps and manifests as a phase in the fermion path integral. Using the global anomaly formula expressed in terms of the reduced~$η$-invariant, we demonstrate that this anomaly modifies the standard quantization condition of the Wess--Zumino term on~$G$, in close analogy w…

What does the tree of life look like as it grows? Evolution and the multifractality of time
Kevin Hudnall, Raissa D'Souza
https://arxiv.org/abs/2509.25615 https://

What does the tree of life look like as it grows? Evolution and the multifractality of time
By unifying three foundational principles of modern biology, we develop a mathematical framework to analyze the growing tree of life. Contrary to the static case, where the analogy between phylogenetic trees and the tree that grows in soil is drawn, our framework shows that the living tree of life is analogous to a Cantor dust where each branch is a distinct fractal curve. The system as a whole is therefore multifractal in the sense that it consists of many unique fractals. The three foundation…

Anderson localization: a density matrix approach
Ziyue Qi, Yi Zhang, Mingpu Qin, Hongming Weng, Kun Jiang
https://arxiv.org/abs/2509.26206 https://arxiv.or…

Anderson localization: a density matrix approach
Anderson localization is a quantum phenomenon in which disorder localizes electronic wavefunctions. In this work, we propose a new approach to study Anderson localization based on the density matrix formalism. Drawing an analogy to the standard transfer matrix method, we extract the localization length from the modular density matrix in quasi-one-dimensional systems. This approach successfully captures the metal-insulator transition in the three-dimensional Anderson model and in the two-dimensi…

Classical fractional time series from quantum XXZ spin chains
Zolt\'an Udvarnoki, G\'abor F\'ath, Mikl\'os Werner, \"Ors Legeza
https://arxiv.org/abs/2508.20974

Classical fractional time series from quantum XXZ spin chains
Entangled quantum mechanical states in one dimension can be used to represent and simulate classical stochastic processes with nontrivial statistical properties. Long-range quantum correlations translate into fractional processes with their asymptotic Hurst exponents characterizing roughness and persistence. We explore this analogy in the case of the spin-1/2 XXZ chain and investigate properties of four different classical two-state processes that this quantum system can generate. These process…

Ethical Frameworks for Conducting Social Challenge Studies
Protiva Sen, Laurent H\'ebert-Dufresne, Pablo Bose, Juniper Lovato
https://arxiv.org/abs/2509.10578 https://

Ethical Frameworks for Conducting Social Challenge Studies
Computational social science research, particularly online studies, often involves exposing participants to the adverse phenomenon the researchers aim to study. Examples include presenting conspiracy theories in surveys, exposing systems to hackers, or deploying bots on social media. We refer to these as "social challenge studies," by analogy with medical research, where challenge studies advance vaccine and drug testing but also raise ethical concerns about exposing healthy individuals to risk…

Groups versus quandle-like invariants of 3-manifolds
Luc Ta
https://arxiv.org/abs/2509.24098 https://arxiv.org/pdf/2509.24098

Groups versus quandle-like invariants of 3-manifolds
Risandles are nonassociative algebraic structures recently introduced to construct invariants of 3-manifolds. In this note, we show that the categories of groups and nonempty, faithful risandles are equivalent. In analogy to knot quandles, we also introduce fundamental risandles of 3-manifolds, which categorify the risandle coloring invariants of Ishii, Nakamura, and Saito. For infinitely many 3-manifolds, the equivalence of categories recovers the fundamental group from the fundamental risandl…

Atiyah Classes in the Context of Generalized Complex Geometry
Dadi Ni
https://arxiv.org/abs/2508.10723 https://arxiv.org/pdf/2508.10723

Atiyah Classes in the Context of Generalized Complex Geometry
In analogy to the classical holomorphic setting, Lang, Jia and Liu introduced the notion of the Atiyah class for a generalized holomorphic vector bundle using three different approaches: leveraging $\rm{\check{C}}$ech cohomology, employing the first jet short exact sequence, and adopting the perspective of Lie algebroid pairs. The purpose of this note is to establish the equivalence among these diverse definitions of the Atiyah class.

Extraction of classical ergotropy
Michele Campisi
https://arxiv.org/abs/2508.12797 https://arxiv.org/pdf/2508.12797…

Extraction of classical ergotropy
Finding the time dependent perturbation that extracts the maximal amount of energy (a.k.a. ergotropy) from a thermally isolated quantum system is a central, solved, problem in quantum thermodynamics. Notably, the same problem has been long studied for classical systems as well, e.g., in the field of plasma physics, but a general solution is still missing there. By building on the analogy with the quantum solution, we provide the classical ergotropy extraction driving: it consists of an instanta…

Some geometrical aspects of gravitational waves using continuum mechanics analogy: State of the art and potential consequences
David Izabel, Yves Remond, Matteo Luca Ruggiero
https://arxiv.org/abs/2508.09279

Some geometrical aspects of gravitational waves using continuum mechanics analogy: State of the art and potential consequences
In this study, the authors employ the analogy between continuum mechanics and general relativity to investigate, from the perspective of elasticity and crystal plasticity, the deformations of space measured by LIGO/VIRGO interferometers during the passage of gravitational waves over Earth. The results of different innovative or existing mechanical models are compared with each other and compared with the observations in the framework of general relativity and Einstein-Cartan theory. Despite lim…

Alternating Approach-Putt Models for Multi-Stage Speech Enhancement
Iksoon Jeong, Kyung-Joong Kim, Kang-Hun Ahn
https://arxiv.org/abs/2508.10436 https://ar…

Alternating Approach-Putt Models for Multi-Stage Speech Enhancement
Speech enhancement using artificial neural networks aims to remove noise from noisy speech signals while preserving the speech content. However, speech enhancement networks often introduce distortions to the speech signal, referred to as artifacts, which can degrade audio quality. In this work, we propose a post-processing neural network designed to mitigate artifacts introduced by speech enhancement models. Inspired by the analogy of making a `Putt' after an `Approach' in golf, we name our mod…

Analytic Bernoulli Functions: Correspondence with Hermite Polynomials
Ken Nagai
https://arxiv.org/abs/2509.15916 https://arxiv.org/pdf/2509.15916

Analytic Bernoulli Functions: Correspondence with Hermite Polynomials
We establish an operator--theoretic correspondence between periodic Bernoulli kernels and Hermite polynomials, framed through the umbral calculus and a quantum analogy. Starting from the analytic master function $F^\ast$, the periodic Hilbert transform appears as a $π/2$ symplectic rotation, while Jacobi matrices reproduce the oscillator ladder. Umbral operational rules extend this structure across complex order, and Weyl algebra lifting together with the Weil representation explains the share…

Quantum reflection time and the Goos-H\"anchen effect
D. Sokolovski, Y. Caudano
https://arxiv.org/abs/2508.17883 https://arxiv.org/pdf/2508.17883

Quantum reflection time and the Goos-Hänchen effect
We explore the analogy between following the motion of a reflected wave packet, and a quantum measurement of the spatial delay imposed on the particle by the scattering potential. It is shown that converting such delays into temporal durations can lead to \e{negative times}, and best be avoided. It is also demonstrated that a \e{soft} potential can be replaced by superposition of hard walls. This representation is used for calculating the Goos-Hänchen shift of a Gaussian beam incident on a pot…

Urn Modeling of Random Graphs Across Granularity Scales: A Framework for Origin-Destination Human Mobility Networks
Fabio Vanni, David Lambert
https://arxiv.org/abs/2508.18544 h…

Urn Modeling of Random Graphs Across Granularity Scales: A Framework for Origin-Destination Human Mobility Networks
We model human mobility as a combinatorial allocation process, treating trips as distinguishable balls assigned to location-bins and generating origin-destination (OD) networks. From this analogy, we construct a unified three-scale framework, enumerative, probabilistic, and continuum graphon ensembles, and prove a renormalization theorem showing that, in the large sparse regime, these representations converge to a universal mixed-Poisson law. The framework yields compact formulas for key mobili…

Homology character of the parabolic coset poset
Theo Douvropoulos, Matthieu Josuat-Verg\`es
https://arxiv.org/abs/2509.11905 https://arxiv.org/pdf/2509.119…

Homology character of the parabolic coset poset
Motivated by the analogy with the Coxeter complex on one side, and parking functions on the other side, we study the poset of parabolic cosets in a finite Coxeter group. We show that this poset is Cohen-Macaulay, and get an explicit formula for the character of its (unique) nonzero homology group in terms of the Möbius function of the intersection lattice. This homology character becomes a positive element of the parabolic Burnside ring (in its natural basis) after tensoring with the sign char…

Inverted Habiro Series and its Residues
Josef Svoboda
https://arxiv.org/abs/2509.22610 https://arxiv.org/pdf/2509.22610

Inverted Habiro Series and its Residues
We study the Gukov--Manolescu (GM) series of knots and the inverted Habiro series (IHS) proposed by S. Park. We give a new formula for IHS in terms of coefficients of the GM series and truncated theta functions. We prove a multiplication formula for IHS, constructing a natural ring, in analogy with work of Habiro. We study the residues of IHS and apply them to Dehn surgery formulas. We also give a curious relation between the asymptotics of the GM series at roots of unity and the Kashaev invari…

An exact approach to frustrated total internal reflection and Goos-H\"anchen shift for s-polarised light
Sayanho Biswas, Kolahal Bhattacharya
https://arxiv.org/abs/2509.20371

An exact approach to frustrated total internal reflection and Goos-Hänchen shift for s-polarised light
An exact analogy between wave mechanics in quantum theory and the scalar wave treatment of optics emerges from the marriage of Newtonian formulation of geometrical optics [1] and the ``formal quantum theory of light rays'' [2]. Here the incidence of a ray of light on the interface between two media is treated as the incidence of a wavefunction on a potential barrier. This leads to the coefficient of reflection identical to Fresnel's formula for s-polarised light [3], although there is no concep…

Hybrid Inflation from Fermion Condensate
Stephon Alexander, Pisin Chen, Jinglong Liu, Antonino Marciano, Misao Sasaki, Xuan-Lin Su
https://arxiv.org/abs/2509.25290 https://

Hybrid Inflation from Fermion Condensate
We investigate how inflation can emerge from four-fermion interactions generated by spacetime torsion, eliminating the need for additional scalar fields beyond the Standard Model. We partition fermions in two sectors and introduce two bound fields. In the effective theory approach, once all the fermions have been integrated out, the bound fields serve as the inflaton and the auxiliary field, in analogy to the hybrid inflation and accounting for a waterfall (hybrid) mechanism. The inclusion of a…

A Compact Story of Positivity in de Sitter
Priyesh Chakraborty, Timothy Cohen, Daniel Green, Yiwen Huang
https://arxiv.org/abs/2508.08359 https://arxiv.org…

A Compact Story of Positivity in de Sitter
Recent developments have yielded significant progress towards systematically understanding loop corrections to de Sitter (dS) correlators. In close analogy with physics in Anti-de Sitter (AdS), large logarithms can result from loops that can be interpreted as corrections to the dimensions of operators. In contrast with AdS, these dimensions are not manifestly real. This implies that the theoretical constraints on the associated correlators are less transparent, particularly in the presence of l…

Finite graphs and configurations of points
Joseph Malkoun
https://arxiv.org/abs/2508.13472 https://arxiv.org/pdf/2508.13472

Finite graphs and configurations of points
We generalize the Atiyah problem on configurations and the related Atiyah--Sutcliffe conjectures 1 and 2 using finite graphs, configurations of points and tensors. Our conjectures are intriguing geometric inequalities, defined using the pairwise directions of the configuration of points, just as in the original problem. The generalization of the Atiyah determinant to our setting is no longer a determinant. We call it the $G$-amplitude function, where $G$ is a finite simple graph, in analogy wit…

Hierarchical structures in the ground state of the spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model on the pyrochlore lattice: a large scale unrestricted variational study
Rong Cheng, Tao Li
https://arxiv.org/abs/2509.13746

Hierarchical structures in the ground state of the spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model on the pyrochlore lattice: a large scale unrestricted variational study
The spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model on the pyrochlore lattice(PAFH) is arguably the most well known strongly frustrated quantum magnet in three spatial dimension. As a close analogy of its two dimensional cousin, namely the spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model on the kagome lattice(KAFH), it has long been anticipated that the ground state of the spin-$\frac{1}{2}$ PAFH may host a novel quantum spin liquid. However, due to the rapid scaling of Hilbert space…

Quark polarization and transverse momentum effects on double quarkonium production in hadronic collisions
Carlo Flore, Cristian Pisano
https://arxiv.org/abs/2508.15482 https://

Quark polarization and transverse momentum effects on double quarkonium production in hadronic collisions
We investigate the inclusive production of double quarkonia ($J/ψ$, $ψ(2S)$, $Υ$ mesons) in polarized hadron-hadron collisions, considering the kinematic configuration where the transverse momentum of each pair of bound states is much smaller than its invariant mass. Supported by nonrelativistic QCD arguments, we adopt the Color-Singlet Model for the quarkonium formation mechanism and assume the validity of transverse momentum dependent factorization. In strong analogy with dilepton producti…

Particle creation in a cosmological background in analogy to the Schwinger effect
Walter D. van Suijlekom, Michael F. Wondrak, Heino Falcke
https://arxiv.org/abs/2510.09481 http…

Particle creation in a cosmological background in analogy to the Schwinger effect
We consider a gravitational analogue of the Schwinger effect in a cosmological context. While the Schwinger effect is usually attributed to a static electric background, its derivation is actually based on a switching on/off of the electric field in the infinite past/future. Motivated by this, and our previous work on particle production in a gravitational background, we consider a long pulse of the gravitational field in an FLRW-spacetime, thus simulating a static background. We rigorously der…

Remarks on proper conflict-free degree-choosability of graphs with prescribed degeneracy
Masaki Kashima, Riste \v{S}krekovski, Rongxing Xu
https://arxiv.org/abs/2509.12560 https…

Remarks on proper conflict-free degree-choosability of graphs with prescribed degeneracy
A proper coloring $ϕ$ of $G$ is called a proper conflict-free coloring of $G$ if for every non-isolated vertex $v$ of $G$, there is a color $c$ such that $|ϕ^{-1}(c)\cap N_G(v)|=1$. As an analogy of degree-choosability of graphs, we introduced the notion of proper conflict-free $({\rm degree}+k)$-choosability of graphs. For a non-negative integer $k$, a graph $G$ is proper conflict-free $({\rm degree}+k)$-choosable if for any list assignment $L$ of $G$ with $|L(v)|\geq d_G…

A gravitational spin-orbit interaction in Poincar\'e gauge theory
Sebastian Bahamonde, Jorge Gigante Valcarcel
https://arxiv.org/abs/2508.20035 https://

A gravitational spin-orbit interaction in Poincaré gauge theory
We show a gravitational spin-orbit interaction that can potentially modify the space-time geometry naturally emerges in the framework of Poincaré gauge theory. For this purpose, we derive the field equations of a particular model with cubic order invariants and demonstrate the existence of analytical solutions which display an interaction between the intrinsic and extrinsic angular momentum parameters in the gravitational action, in analogy to the spin-orbit interaction arising from atomic and…

Replaced article(s) found for physics.soc-ph. https://arxiv.org/list/physics.soc-ph/new
[1/1]:
- A Statistical Physics perspective on fairness in shared expenses: The bar bill analogy
Nuno Crokidakis, Lucas Sigaud

The connectivity dimension of a graph
Kurt Klement Gottwald, Tobias Hofmann
https://arxiv.org/abs/2508.09336 https://arxiv.org/pdf/2508.09336

The connectivity dimension of a graph
This article investigates the connectivity dimension of a graph. We introduce this concept in analogy to the metric dimension of a graph, providing a graph parameter that measures the heterogeneity of the connectivity structure of a graph. We fully characterize extremal examples and present explicit constructions of infinitely many graphs realizing any prescribed non-extremal connectivity dimension. We also establish a general lower bound in terms of the graph's block structure, linking the par…

Charge constraint on M87* with twisted light
Fabiano Feleppa, Fabrizio Tamburini, Gaetano Lambiase
https://arxiv.org/abs/2508.17300 https://arxiv.org/pdf/2…

Charge constraint on M87* with twisted light
We propose a novel method to constrain the electric charge of the supermassive black hole M87* by analyzing the orbital angular momentum content of the light it emits. By leveraging the established analogy between rotating spacetimes and inhomogeneous optical media, we derive a simple analytical formula that relates the average orbital angular momentum in the observed radiation to the black hole's charge-to-mass ratio. Applying this relation to existing observational data, we place an upper bou…

Charged wormholes can be long-lived
Jose Luis Bl\'azquez-Salcedo, Luis Manuel Gonz\'alez-Romero, Fech Scen Khoo, Jutta Kunz, Pablo Navarro Moreno
https://arxiv.org/abs/2510.11406

Charged wormholes can be long-lived
Ellis-Bronnikov wormholes suffer from an unstable radial mode. Here we investigate the evolution of the unstable mode(s) for charged wormholes. We show that the instability remains in the presence of charge, but exhibits a very fast decrease to zero, suggesting that wormholes that approach a near-extremal metric could be long-lived. For so-called supercritical wormholes, two purely imaginary unstable modes merge and continue with degenerate imaginary parts and opposite real parts. By analogy, w…