Tootfinder

A description of classical field equations using extensions of graded Poisson brackets
Manuel de Le\'on, Rub\'en Izquierdo-L\'opez
https://arxiv.org/abs/2507.04743

A description of classical field equations using extensions of graded Poisson brackets
As it is well-known, Poisson brackets play a fundamental role both in mechanics and in classical field theories. In this paper we develop a theory of extensions of graded Poisson brackets in graded Dirac manifolds. We then show how these extensions can be used to obtain the field equations of a particular theory as well as the evolution of forms of arbitrary order, in a similar way that ordinary Poisson brackets provide in mechanics.

Evolution of the Tohoku earthquake aftershocks in the framework of the phenomenological theory of aftershocks
O. D. Zotov, A. V. Guglielmi
https://arxiv.org/abs/2508.04323 https…

Evolution of the Tohoku earthquake aftershocks in the framework of the phenomenological theory of aftershocks
The aftershocks of the Tohoku earthquake are analyzed in light of the phenomenological theory of aftershocks. The theory is based on the concept of an earthquake source as a dynamic system, the state of which is described by a deactivation coefficient. The concept of the proper time of the source is used, which in general differs from world time. The "underground clock" and the clock showing world time have been synchronized. For an observer using the underground impacts as time markers, the fl…

High-energy evolution in planar QCD to three loops: the non-conformal contribution
Giacomo Brunello, Simon Caron-Huot, Giulio Crisanti, Mathieu Giroux, Sid Smith
https://arxiv.org/abs/2508.03794

High-energy evolution in planar QCD to three loops: the non-conformal contribution
The Balitsky-Kovchegov (BK) equation offers a tractable description of the high-energy growth of gauge-theory scattering amplitudes and the nonlinear saturation effects that eventually tame it. Motivated by the upcoming Electron-Ion Collider (EIC), whose extended kinematic reach promises more decisive tests of saturation at high energies, we present a framework based on the spacelike-timelike correspondence that streamlines the computation of multi-loop corrections to the BK equation. We explic…

On the axioms for a unqiue factorization domain
Scott T. Chapman, Jim Coykendall
https://arxiv.org/abs/2507.05188 https://arxiv.org/p…

On the axioms for a unqiue factorization domain
With the growing evolution of the theory of non-unique factorization in integral domains and monoids, the study of several variations to the classical unique factorization domain (or UFD) property have become popular in the literature. Using one of these variations, the length-factorial property, it can be shown that part of the standard classical axioms used in the definition of a UFD is essentially superfluous.

Magnetized Proto-Neutron Stars: Structure and Stability
Harsh Chandrakar, Aravind Taridalu, Adamu Issifu, T. K. Jha, Prashant Thakur
https://arxiv.org/abs/2508.04264 https://

Magnetized Proto-Neutron Stars: Structure and Stability
This study examines the evolution of the global properties of magnetized proto-neutron stars (PNSs) across four key stages: neutrino-trapping, deleptonization, the neutrino-transparent phase, and the formation of a cold, catalyzed neutron star (NS). We perform general relativistic magnetohydrodynamic simulations with strong magnetic fields of approximately 10^17 Gauss. The stellar matter is modeled using equations of state (EoS) derived from relativistic mean-field theory, employing density-dep…

Analysis of the evolution of terrestrial relief through inverse elevation transition
Yulisa Valverde, Milton Valverde, Jhair Tarazona, Giorgio Tarazona, Yehosua Tarazona
https://arxiv.org/abs/2507.03173

Analysis of the evolution of terrestrial relief through inverse elevation transition
Through the examination of the Theory of Seismic Energy and the Theory of Volcanic Energy, we understand that the interaction of internal and external energies in favourable terrain has led to countless transformations over geological time frames. Therefore, this research aims to understand the evolution of the Earth's surface based on the theories proposed by Claudio Valverde Ramirez. This study introduces the concept of inverse elevation transition, which explains the formation of mountains, …

Abstract Formulation of Mean-Field Models and Propagation of Chaos
Tau Shean Lim, Chao Dun Teoh
https://arxiv.org/abs/2508.02224 https://arxiv.org/pdf/2508…

Abstract Formulation of Mean-Field Models and Propagation of Chaos
In this work, we formulate an abstract framework to study mean-field systems. In contrast to most approaches in the available literature which primarily rely on the analysis of SDEs, ours is based on optimal transport and semigroup theory. This allows for the inclusion of a wider range of mean-field particle systems within a unified structure. This new approach involves: (1) constructing an abstract framework using semigroups and generators; (2) formulating a corresponding mean-field evolution …

An alternative approach to the phonon theory of liquids: Evolution of the energy of diffusion
M. Y. Esmer, Bahtiyar A. Mamedov
https://arxiv.org/abs/2507.02121

An alternative approach to the phonon theory of liquids: Evolution of the energy of diffusion
With regard to the three basic states of matter (solid, liquid, gas), the calculation of the heat capacity of liquids in a general form has been considered one of the deepest and most interesting challenges in condensed matter physics, due to the strong, system-specific interactions involved. Notwithstanding the theoretical difficulties, there have recently been significant advances in our understanding of liquids, and the phonon theory of liquids has been proposed. However, this theory uses th…

Spatial marching with subgrid-scale local exact coherent structures in non-uniformly curved channel flow
Runjie Song, Kengo Deguchi
https://arxiv.org/abs/2508.03968 https://

Spatial marching with subgrid-scale local exact coherent structures in non-uniformly curved channel flow
We propose a novel multiple-scale spatial marching method for flows with slow streamwise variation. The key idea is to couple the boundary region equations, which govern large-scale flow evolution, with local exact coherent structures that capture small-scale dynamics. This framework is consistent with high-Reynolds-number asymptotic theory and offers a promising approach to construct time periodic finite amplitude solutions in a broad class of spatially developing shear flows. As a first appli…

Stability of Relativistic Spheres Powered by Energy Profile in Einstein Gauss-Bonnet Gravity
Z. Yousaf, Kazuharu Bamba, Mansoor Alshehri, A. Farhat
https://arxiv.org/abs/2509.00714

Stability of Relativistic Spheres Powered by Energy Profile in Einstein Gauss-Bonnet Gravity
In this paper, we study the dynamical irregularity of the locally anisotropic spherical fluids in the context of Einstein-Gauss-Bonnet theory. We aim to describe the causes of energy-density irregularity of self-gravitating fluids and explain how those causes evolved from a homogeneous distribution at first. After computing field equations, we formulate two independent components of evolution equations. This expression involves the Weyl tensor and dynamical variables that would lead us to expla…

Gauge theory approach to describe ice crystals habit evolution in ice clouds
Gianluca Di Natale, Francesco Pio De Cosmo, Leandro Cieri
https://arxiv.org/abs/2508.02472 https://

Gauge theory approach to describe ice crystals habit evolution in ice clouds
Ice clouds, particularly cirrus clouds, significantly influence Earth's radiative balance but remain poorly characterized in current climate models. A major uncertainty arises from the variability of their microphysical properties, especially the evolution of ice crystal habits under depositional growth. We propose a heuristic method to describe habit evolution based on four fundamental shapes identified in the literature and from in situ observations: droxtals, plates, columns, and rosettes. T…

Thermoelastic Contraction as a Suppressor of Atmospheric Escape in Close-in Exoplanets
L. Yildiz, D. Kayki, E. Gudekli
https://arxiv.org/abs/2508.01885 https://

Thermoelastic Contraction as a Suppressor of Atmospheric Escape in Close-in Exoplanets
The long-term retention of substantial atmospheres in close-in exoplanets presents a major challenge to classical hydrodynamic escape theory, which predicts rapid mass loss under intense stellar irradiation. In this work, we propose a fully classical, interior-driven suppression mechanism based on thermoelastic contraction of the planetary mantle. By incorporating pressure- and temperature-dependent elastic deformation into the structural evolution of the planet, we demonstrate that radial cont…

Analyzing Time-Varying Scalar Fields using Piecewise-Linear Morse-Cerf Theory
Amritendu Dhar, Apratim Chakraborty, Vijay Natarajan
https://arxiv.org/abs/2507.00725

Analyzing Time-Varying Scalar Fields using Piecewise-Linear Morse-Cerf Theory
Morse-Cerf theory considers a one-parameter family of smooth functions defined on a manifold and studies the evolution of their critical points with the parameter. This paper presents an adaptation of Morse-Cerf theory to a family of piecewise-linear (PL) functions. The vertex diagram and Cerf diagram are introduced as representations of the evolution of critical points of the PL function. The characterization of a crossing in the vertex diagram based on the homology of the lower links of verti…

Control of cross-beam energy transfer through laser-plasma parameter adjustment
Yilin Xu, Yao Zhao, Hongwei Yin, Zhuwen Lin, Yan Yin, Liang Hao, Yaozhi Yi, Hongyu Zhou, Jinlong Jiao, Anle Lei
https://arxiv.org/abs/2508.03152

Control of cross-beam energy transfer through laser-plasma parameter adjustment
Cross-beam energy transfer (CBET) between two lasers is investigated through both analytical theory and two-dimensional simulations, with particular attention to its linear and nonlinear evolution under various laser-plasma conditions over timescales from several hundred picoseconds to one nanosecond. Based on the dispersion relation of stimulated Brillouin scattering driven by two laser beams, we obtain a laser frequency difference range within which CBET occurs. In the nonlinear regime, high …

Connecting mean-field theory with dynamo simulations
Petri J. K\"apyl\"a (KIS)
https://arxiv.org/abs/2507.00632 https://arx…

Connecting mean-field theory with dynamo simulations
Mean-field dynamo theory, describing the evolution of large-scale magnetic fields, has been the mainstay of theoretical interpretation of magnetism in astrophysical objects such as the Sun for several decades. More recently, three-dimensional magnetohydrodynamic simulations have reached a level of fidelity where they capture dynamo action self-consistently on local and global scales without resorting to parametrization of unresolved scales. Recent global simulations also capture many of the obs…

Understanding the atomically precise evolution of the miscibility of newly prepared face-centered cubic W-Cu nanoalloys and its asymmetry
Yongxin Zhang, Weihan Zhang, Luneng Zhao, Zixiang Zhao, Siqi Lu, Yangrui Liu, Dongsheng Song, Changzheng Wei, Zhentao Pang, Yifeng Ren, Junfeng Gao, Weiwei Gao, Di Wu, Jijun Zhao, Kuo-Juei Hu, Wei Ji, Yu Deng, Binghui Ge, Fengqi Song

Understanding the atomically precise evolution of the miscibility of newly prepared face-centered cubic W-Cu nanoalloys and its asymmetry
According to classical Miedema theory, reducing crystals to the order of nanometer sizes might greatly modulate the mixing enthalpy of elements, thus enabling the invention of a lot of new bulk-immiscible alloys. Although numerous alloys with higher mixing enthalpies remain unexplored, this strategy is approaching its limit, as reflected by the critical diameter of recent alloys of 1.8 nm, which corresponds to ~150 atoms and hardly provides a crystalline order. Future development requires not o…

Extended applicability domain of viscous anisotropic hydrodynamics in (2 1)-D Bjorken flow with transverse expansion
Yiyang Peng, Victor E. Ambrus, Clemens Werthmann, S\"oren Schlichting, Ulrich Heinz, Huichao Song
https://arxiv.org/abs/2509.04431

Extended applicability domain of viscous anisotropic hydrodynamics in (2+1)-D Bjorken flow with transverse expansion
We perform (2{+}1)-D simulations of viscous anisotropic hydrodynamics (VAH) under boost-invariant and conformal conditions. Comparing both VAH and traditional viscous hydrodynamics with kinetic theory in the relaxation-time approximation as the underlying microscopic theory, we show that VAH provides a superior description of the evolution across a wide range of opacity, effectively extending the boundaries of the applicability of hydrodynamic modeling. Our results demonstrate VAH's potential f…

A Frattini theory for evolution algebras
Manuel Ladra, Andr\'es P\'erez-Rodr\'iguez
https://arxiv.org/abs/2507.01935 https://

A Frattini theory for evolution algebras
This paper develops a Frattini theory for evolution algebras defining the Frattini subalgebra as the intersection of all maximal subalgebras, and the Frattini ideal as the largest ideal contained in it. To this end, we revisit the notion of nilradical, whose classical definition is not directly applicable in this setting, and propose the supersolvable nilradical as a suitable alternative. This leads to necessary and sufficient conditions for the triviality of the Frattini subalgebra and ideal. …

What follows is a surprisingly elegant introduction to a lesser-known evolutionary theory,
wrapped in the curious biography of Sewall Wright
-- a geneticist with a lifelong fixation on guinea pigs.
I’ve occasionally wondered:
Why don’t we see fish wandering around on little legs, on their way to becoming something grander?
Wright put it more scientifically:
How do organisms evolve beneficial traits when the steps in between might be maladaptive?
I…

Evolution and Guinea Pig Toes
How one animal's oddity inspired Sewall Wright to take on one of Darwin's big ideas

Control of Marine Robots in the Era of Data-Driven Intelligence
Lin Hong, Lu Liu, Zhouhua Peng, Fumin Zhang
https://arxiv.org/abs/2506.21063 https://

Control of Marine Robots in the Era of Data-Driven Intelligence
The control of marine robots has long relied on model-based methods grounded in classical and modern control theory. However, the nonlinearity and uncertainties inherent in robot dynamics, coupled with the complexity of marine environments, have revealed the limitations of conventional control methods. The rapid evolution of machine learning has opened new avenues for incorporating data-driven intelligence into control strategies, prompting a paradigm shift in the control of marine robots. This…

Evolution problem for the $1$-Laplacian with mixed boundary conditions
N. Igbida, J. M. Maz\'on, J. Toledo
https://arxiv.org/abs/2508.01809 https://arx…

Evolution problem for the $1$-Laplacian with mixed boundary conditions
This paper deals with evolution problem for the $1$-Laplacian with mixed boundary conditions on a bounded open set $Ω$ of $\R^N$. We prove existence and uniqueness of strong solutions for data in $L^2(Ω)$ by mean of the theory of maximal monotone operator. We also see that if the flux on the boundary is~$1$ (that is, the maximum possible) then these strong solutions can be seen as the large solutions introduced in \cite{MP}. We give explicit examples of solutions.

Time for another "review". This one's hard. While the book was quite interesting, it required me to be quite open-minded. Still, I think it's worth mentioning:
Robert Wright — Nonzero: The Logic of Human Destiny
The book basically focused on a thesis that both biological evolution and cultural evolution are a thing, they are directional and this directionality can be explained together using game theory — as eventually leading to more non-zero sum games.
It consists of three chapters. The first one is is focused on the history of civilization. It features many examples from different parts of the world, which makes it quite interesting. The author argues that the culture inevitably is evolving as information processing techniques improve — from writing to the Internet.
The second chapter is focused on biological evolution. Now, the argument is that it's not quite random, but actually directed towards greater complexity — eventually leading to the development of highly intelligent species, and a civilization.
The third chapter is quite speculative and metaphysical, and I'm just going to skip it.
The book is full of optimism. Capitalism creates freedom — because people are more productive when they're working for their own gain, so the free market eliminates slavery. Globalisation creates networks of interdependence that make wars uneconomic. Increased contacts between different cultures makes people more tolerant. And eventually, the humanity may be able to unite facing a common "external" enemy — the climate change.
What can I say? The examples are quite interesting, the whole theory seems self-consistent. Still, I repeatedly looked at the publication date (it's 1999), and wondered if author would write the same thing today (yes, I know I can search for his current opinions).
#books #bookstodon @…

Entanglement Suppression Due to Black Hole Scattering
Kazuki Doi, Tadashi Takayanagi
https://arxiv.org/abs/2507.23729 https://arxiv.org/pdf/2507.23729

Entanglement Suppression Due to Black Hole Scattering
We consider the evolution of entanglement entropy in a two-dimensional conformal field theory with a holographic dual. Specifically, we are interested in a class of excited states produced by a combination of pure-state (local operator) and mixed-state local quenches. We employ a method that allows us to determine the full time evolution analytically. While a single insertion of a local operator gives rise to a logarithmic time profile of entanglement entropy relative to the vacuum, we find tha…

Dynamical Evolution of Quasi-Hierarchical Triples
Yonadav Barry Ginat, Jakob Stegmann, Johan Samsing
https://arxiv.org/abs/2509.02685 https://arxiv.org/pdf…

Dynamical Evolution of Quasi-Hierarchical Triples
We study the gravitational dynamics of quasi-hierarchical triple systems, where the outer orbital period is significantly longer than the inner one, but the outer orbit is extremely eccentric, rendering the time at pericentre comparable to the inner period. Such systems are not amenable to the standard techniques of perturbation theory and orbit-averaging. Modelling the evolution of these triples as a sequence of impulses at the outer pericentre, we show that such triples lend themselves to a d…

The principle of least action for random graphs
Ioannis Kleftogiannis, Ilias Amanatidis
https://arxiv.org/abs/2507.01468 https://arxi…

The principle of least action for random graphs
We study the statistical properties of the physical action $S$ for random graphs, by treating the number of neighbors at each vertex of the graph (degree), as a scalar field. For each configuration (run) of the graph we calculate the Lagrangian of the degree field by using a lattice quantum field theory(LQFT) approach. Then the corresponding action is calculated by integrating the Lagrangian over all the vertices of the graph. We implement an evolution mechanism for the graph by removing one ed…

Revisiting the diffusion equation derivation in Persson's theory of contact
Yang Xu, Siyuan Yang, Yunong Zhou, Liang Luo
https://arxiv.org/abs/2509.02397 https://

Revisiting the diffusion equation derivation in Persson's theory of contact
In Persson's seminal work on tire-road interaction (Persson, J. Chem. Phys. {\bf 115}(8), 2001), he ingeniously derived a diffusion equation in Appendix B to characterize the evolution of contact pressure between a rigid rough indenter and an elastic half-space with spatial magnification, which constitutes the foundation of Persson's theory of contact. Persson's theory has been extensively validated and applied to investigate nearly all critical aspects of tribological problems. In contrast to …

Gromov-Wasserstein and optimal transport: from assignment problems to probabilistic numeric
Iman Seyedi, Antonio Candelieri, Enza Messina, Francesco Archetti
https://arxiv.org/abs/2509.04089

Gromov-Wasserstein and optimal transport: from assignment problems to probabilistic numeric
The assignment problem, a cornerstone of operations research, seeks an optimal one-to-one mapping between agents and tasks to minimize total cost. This work traces its evolution from classical formulations and algorithms to modern optimal transport (OT) theory, positioning the Quadratic Assignment Problem (QAP) and related structural matching tasks within this framework. We connect the linear assignment problem to Monge's transport problem, Kantorovich's relaxation, and Wasserstein distances, t…

Out-of-time ordered correlation functions for the localized $f$ electrons in the Falicov-Kimball model
A. M. Shvaika, J. K. Freericks
https://arxiv.org/abs/2508.21388 https://…

Out-of-time ordered correlation functions for the localized $f$ electrons in the Falicov-Kimball model
We provide an exact evaluation of the out-of-time correlation (OTOC) functions for the localized $f$-particle states in the Falicov-Kimball model within dynamical mean-field theory. Different regimes of quantum chaos and quantum scrambling are distinguished by the winding numbers of the block Toeplitz matrices used in the calculation. The similarities of these fermionic OTOCs and their Lyapunov exponents for time evolution with the OTOCs for quantum spin models with disorder are also discussed.

Interior Dynamics of Regular Schwarzschild Black Holes
J. Ovalle
https://arxiv.org/abs/2509.00816 https://arxiv.org/pdf/2509.00816

Interior Dynamics of Regular Schwarzschild Black Holes
We present a purely geometric and exact description of the interior dynamics of a Schwarzschild black hole, formulated without invoking any specific gravitational theory and free of charges beyond its total mass ${\cal M}$. Its dynamical evolution gives rise to new singularities absent in the static case, whose resolution imposes highly restrictive conditions on gravitational collapse.

Exploring Quantum Heider Balance Theory
Anahid Kiani, S. Mahdi Fazeli, G. Reza Jafari
https://arxiv.org/abs/2507.00238 https://arxiv.…

Exploring Quantum Heider Balance Theory
Classical Heider balance theory models the evolution of social networks towards balanced states with stress minimization. Triad relationships are classically either balanced or imbalanced. However, real-world relationships often exhibit uncertainty, complexity, and interconnected dynamics that transcend this classical framework, and we will sometimes see the synchronicity of balance and imbalance states. When these triadics are simultaneously balanced and imbalanced, they form superposition and…

Continuity Norm Framework for the Evolution of Nonsingular Matrices
L. Yildiz, D. Kayki, E. Gudekli
https://arxiv.org/abs/2507.20742 https://arxiv.org/pdf/…

Continuity Norm Framework for the Evolution of Nonsingular Matrices
Matrix theory, foundational in diverse fields such as mathematics, physics, and computational sciences, typically categorizes matrices based strictly on their invertibility-determined by a sharply defined singular or nonsingular classification. However, such binary classifications become inadequate in describing matrices whose elements vary continuously over time, thereby transitioning through intermediate states near singular configurations. To address this fundamental limitation, we develop a…

Tunable Dot Platform for Controlling Electron Flow in Graphene
Fereshte Ildarabadi, Stephen R. Power
https://arxiv.org/abs/2507.01585 https://

Tunable Dot Platform for Controlling Electron Flow in Graphene
We introduce an innovative graphene-based architecture to control electronic current flows. The tunable dot platform (TDP) consists of an array of gated dots, with independently adjustable potentials, embedded in graphene. Inspired by Mie theory, and leveraging multiscattering effects, we demonstrate that tailored current behavior can be achieved due to the variety of possible dot configurations. Optimization is performed using differential evolution, which identifies configurations that maximi…

Output-recurrent gated state space model for multiphase flows modeling and uncertainty quantification of exhaust vehicles
Ruilin Chen, Ming Fang, Guihui Ma
https://arxiv.org/abs/2508.00588

Output-recurrent gated state space model for multiphase flows modeling and uncertainty quantification of exhaust vehicles
This paper presents an Output-Recurrent Gated State Space Model (OR-GSSM) for complex multiphase flows modeling and uncertainty quantification of exhaust vehicles during motion. By establishing the state-space formulation of the gas-liquid Navier-Stokes equations applying semigroup theory and Galerkin projection, explicitly characterizing the dynamic coupling evolution between the velocity, pressure, and volume fraction fields. A novel Gated State Space Transition (GSST) unit is designed to lea…

Exploring Mixing Thresholds in Asteroseismic Stellar Evolution Models
Lynn Buchele
https://arxiv.org/abs/2507.23275 https://arxiv.org/pdf/2507.23275…

Exploring Mixing Thresholds in Asteroseismic Stellar Evolution Models
Inferences from observations clearly show that mixing in stars extends beyond the convective boundaries defined by mixing length theory. This triggered the proposal of a variety of prescriptions to include additional mixing in stellar models. These prescriptions typically introduce free parameters to set the extent of the additional mixing and may also introduce numerical parameters. In the case of exponential overshooting, one must decide the threshold at which the exponential decay of the mix…

Kapitza's Pendulum as a Classical Prelude to Floquet-Magnus Theory
Johannes K. Krondorfer, Maria Kainz, Matthias Diez, Andreas W. Hauser
https://arxiv.org/abs/2507.02736

Kapitza's Pendulum as a Classical Prelude to Floquet-Magnus Theory
We present a pedagogical introduction to Floquet-Magnus theory through the classical example of Kapitza's pendulum \ -- a simple system exhibiting nontrivial dynamical stabilization under rapid periodic driving. By deriving the equations of motion and analyzing the system via Floquet theory and the Magnus expansion, we obtain analytical stability conditions and effective evolution equations. While grounded in classical mechanics, the techniques are directly applicable to periodically driven qua…

Statistic threshold of distinguishing the environmental effects and modified theory of gravity with multiple massive black-hole binaries
Xulong Yuan
https://arxiv.org/abs/2506.22921

Statistic threshold of distinguishing the environmental effects and modified theory of gravity with multiple massive black-hole binaries
In future space-borne \ac{GW} observations, matter arround the sources might influence the evolution and \ac{GW} signals from \ac{BBH} inspirals, which can be mistaken as deviations from \ac{GR}. Former research \cite{yuan2024} proposed a statistic $F$ that characterizes the dispersion of measured parameters to distinguish environmental effect(\ac{DF} from \ac{DM} spike) and theory of modified gravity effect(varying $G$). In this work we use the statistic to distinguish other couples of effects…

The Geometry of Motion, Vol. I: Mechanics as Geometries
Patrick Iglesias-Zemmour
https://arxiv.org/abs/2508.12810 https://arxiv.org/pdf/2508.12810

The Geometry of Motion, Vol. I: Mechanics as Geometries
This work presents a group-theoretic interpretation of the historical evolution of mechanics, proposing that each fundamental theory of motion corresponds to a distinct geometry in the sense of Felix Klein. The character of each geometry is uniquely determined by its Inertia Group-the group of spacetime transformations that preserves its privileged class of inertial motions. We trace the three major epistemological ruptures in the history of mechanics by translating foundational physical princi…

Spin non-Collinear Real-Time Time-Dependent Density-Functional Theory and Implementation in the Modern GPU-Accelerated INQ code
Jacopo Simoni, Xavier Andrade, Wuzhang Fang, Andrew C. Grieder, Alfredo A. Correa, Tadashi Ogitsu, Yuan Ping
https://arxiv.org/abs/2506.21908

Spin non-Collinear Real-Time Time-Dependent Density-Functional Theory and Implementation in the Modern GPU-Accelerated INQ code
Time-dependent density functional theory (TDDFT) is a theory that describes the time evolution of quantum mechanical many-electron systems under the influence of external time-dependent electric and magnetic fields. INQ is a specially designed software to efficiently solve the real-time TDDFT equations on graphics processing units (GPUs), which aim to overcome the computational limitation of time and size scales of non-equilibrium quantum dynamics. In this work we will present an implementation…

From Firms to Computation: AI Governance and the Evolution of Institutions
Michael S. Harre
https://arxiv.org/abs/2507.13616 https://…

From Firms to Computation: AI Governance and the Evolution of Institutions
The integration of agential artificial intelligence into socioeconomic systems requires us to reexamine the evolutionary processes that describe changes in our economic institutions. This article synthesizes three frameworks: multi-level selection theory, Aoki's view of firms as computational processes, and Ostrom's design principles for robust institutions. We develop a framework where selection operates concurrently across organizational levels, firms implement distributed inference via game-…

OSTRICH2: Solver for Complex String Constraints
Matthew Hague, Denghang Hu, Artur Je\.z, Anthony W. Lin, Oliver Markgraf, Philipp R\"ummer, Zhilin Wu
https://arxiv.org/abs/2506.14363

OSTRICH2: Solver for Complex String Constraints
We present OSTRICH2, the latest evolution of the SMT solver OSTRICH for string constraints. OSTRICH2 supports a wide range of complex functions on strings and provides completeness guarantees for a substantial fragment of string constraints, including the straight-line fragment and the chain-free fragment. OSTRICH2 provides full support for the SMT-LIB theory of Unicode strings, extending the standard with several unique features not found in other solvers: among others, parsing of ECMAScript r…

Small $x$ behavior in QCD from maximal entanglement and conformal invariance
Sebastian Grieninger, Kun Hao, Dmitri E. Kharzeev, Vladimir Korepin
https://arxiv.org/abs/2508.21643

Small $x$ behavior in QCD from maximal entanglement and conformal invariance
Recent evidence suggests that, at small Bjorken $x$, QCD evolution drives the proton into a state of maximal entanglement. If the evolution kernel is assumed to be conformally invariant -- as is the case for the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation -- we can describe it by a conformal field theory. Moreover, the central charge $c$ of the corresponding conformal field theory emerges as the key parameter governing the $x$-dependence of both the entanglement entropy and the structure func…

Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence
Fabiano F. Santos
https://arxiv.org/abs/2508.21224 https://

Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence
This work explores the black hole information loss paradox, a fundamental challenge in theoretical physics. It proposes insights using Holographic Entanglement Entropy (HEE) and the AdS/BCFT correspondence within Horndeski gravity. The work revisits the time-dependent behavior of HEE to probe black hole interiors and examines its implications for the Page curve, which describes the entropy evolution of Hawking radiation. It also discusses the relationship between conformal field theory (CFT) mi…

This https://arxiv.org/abs/2505.17663 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCL_…

Towards Dynamic Theory of Mind: Evaluating LLM Adaptation to Temporal Evolution of Human States
As Large Language Models (LLMs) increasingly participate in human-AI interactions, evaluating their Theory of Mind (ToM) capabilities - particularly their ability to track dynamic mental states - becomes crucial. While existing benchmarks assess basic ToM abilities, they predominantly focus on static snapshots of mental states, overlooking the temporal evolution that characterizes real-world social interactions. We present \textsc{DynToM}, a novel benchmark specifically designed to evaluate LLM…

Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics
Mohammad Javad Habibi Vosta Kolaei
https://arxiv.org/abs/2507.12068 ht…

Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics
We study the extrinsic geometry of isometric immersions into Riemannian manifolds of co-dimension one via a fourth-order geometric evolution of the shape operator. Motivated by bi-harmonic map theory and generalized Chen's conjecture, we introduce a moduli flow, a tensorial gradient flow that decreases a natural energy measuring curvature variation.

Lithium evolution in the Galactic thin disc from Main-Sequence and early Red-Giant-Branch stars
C. T. Nguyen, G. Cescutti, F. Matteucci, F. Rizzuti, A. Mucciarelli, D. Romano, L. Magrini, A. J. Korn, A. Bressan, L. Girardi
https://arxiv.org/abs/2508.14594

Lithium evolution in the Galactic thin disc from Main-Sequence and early Red-Giant-Branch stars
The role of novae as producers of galactic lithium has been suggested since the 1970s, and it has been reconsidered recently with the detection of $^7$Be in their outbursts. At the same time, stellar models are moving forward to comprehend the discrepancy between the primordial lithium abundance predicted by the standard Big Bang Nucleosynthesis theory and the measured value of old dwarf stars. In this work, we follow the evolution of $^7$Li in the galactic thin disc starting from a primordial …

Quadratic estimates for the $H^\infty$-functional calculus of bisectorial Clifford operators
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
https://arxiv.org/abs/2506.16783

Quadratic estimates for the $H^\infty$-functional calculus of bisectorial Clifford operators
The $H^\infty$-functional calculus is a two-step procedure, introduced by A. McIntosh, that allows the definition of functions of sectorial operators in Banach spaces. It plays a crucial role in the spectral theory of differential operators, as well as in their applications to evolution equations and various other fields of science. An extension of the $H^\infty$-functional calculus also exists in the hypercomplex setting, where it is based on the notion of $S$-spectrum. Originally this was don…

Designing efficient interventions for pre-disease states using control theory
Makito Oku
https://arxiv.org/abs/2507.18269 https://arxiv.org/pdf/2507.18269

Designing efficient interventions for pre-disease states using control theory
To extend healthy life expectancy in an aging society, it is crucial to prevent various diseases at pre-disease states. Although dynamical network biomarker theory has been developed for pre-disease detection, mathematical frameworks for pre-disease treatment have not been well established. Here I propose a control theory-based approach for pre-disease treatment, named Markov chain sparse control (MCSC), where time evolution of a probability distribution on a Markov chain is described as a disc…

Evolution favours positively biased reasoning in sequential interactions with high future gains
Marco Saponara, Elias Fernandez Domingos, Jorge M. Pacheco, Tom Lenaerts
https://arxiv.org/abs/2508.20799

Evolution favours positively biased reasoning in sequential interactions with high future gains
Empirical evidence shows that human behaviour often deviates from game-theoretical rationality. For instance, humans may hold unrealistic expectations about future outcomes. As the evolutionary roots of such biases remain unclear, we investigate here how reasoning abilities and cognitive biases co-evolve using Evolutionary Game Theory. In our model, individuals in a population deploy a variety of unbiased and biased level-k reasoning strategies to anticipate others' behaviour in sequential inte…

Cancellation of one-loop correction to soft tensor power spectrum
Yohei Ema, Muzi Hong, Ryusuke Jinno, Kyohei Mukaida
https://arxiv.org/abs/2506.15780 http…

Cancellation of one-loop correction to soft tensor power spectrum
We demonstrate that there are no scale-invariant one-loop corrections to the superhorizon tensor perturbations from small-scale (potentially enhanced) scalar perturbations, irrespective of the details of inflationary background time evolution. For this purpose we derive a soft tensor effective field theory at leading order in the gradient expansion by integrating out small-scale scalar fluctuations in a general time-dependent background over the Schwinger-Keldysh contour, i.e., we perform loop …

Simulating Evolvability as a Learning Algorithm: Empirical Investigations on Distribution Sensitivity, Robustness, and Constraint Tradeoffs
Nicholas Fidalgo, Puyuan Ye
https://arxiv.org/abs/2507.18666 …

Simulating Evolvability as a Learning Algorithm: Empirical Investigations on Distribution Sensitivity, Robustness, and Constraint Tradeoffs
The theory of evolvability, introduced by Valiant (2009), formalizes evolution as a constrained learning algorithm operating without labeled examples or structural knowledge. While theoretical work has established the evolvability of specific function classes under idealized conditions, the framework remains largely untested empirically. In this paper, we implement a genetic algorithm that faithfully simulates Valiant's model and conduct extensive experiments across six Boolean function classes…

Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit
Anna Krasznai, Sergei Rutkevich, G\'abor Tak\'acs
https://arxiv.org/abs/2508.20821

Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit
We examine the dynamics of the three-state Potts quantum spin chain in the extreme ferromagnetic regime using perturbation theory in the transverse magnetic field. We demonstrate that this approach provides access to features well beyond the semiclassical method applied previously, including the description of resonant excitations and analytic prediction for the time evolution after a quantum quench. We also demonstrate that it agrees with the meson/bubble spectrum results from exact diagonalis…

Evolution of boundedly rational learning in games
Marta C. Couto, Fernando P. Santos, Christian Hilbe
https://arxiv.org/abs/2506.21498 https://

Evolution of boundedly rational learning in games
People make strategic decisions multiple times a day. We act strategically in negotiations, when we coordinate our actions with others, or when we choose with whom to cooperate. The resulting dynamics can be studied with evolutionary game theory. This framework explores how people adapt their decisions over time, in light of how effective their strategies have proven to be. A crucial quantity in respective models is the strength of selection. This quantity regulates how likely individuals switc…

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN
Allen Lobo
https://arxiv.org/abs/2506.14804 https://…

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN
In classical probability theory, the convergence of empirical frequencies to theoretical probabilities: as captured by the Law of Large Numbers (LLN): is treated as axiomatic and emergent from statistical assumptions such as independence and identical distribution. In this work, a novel dynamical framework is constructed in which convergence arises as a consequence of structured evolution in outcome space, rather than a statistical postulate. Through this formalism, statistical convergence is d…

An Algorithm Architecture for Radio Interferometric Data Processing
S. Bhatnagar, U. Rau, M. Hsieh, J. Kern, R. Xue
https://arxiv.org/abs/2508.17187 https://

An Algorithm Architecture for Radio Interferometric Data Processing
We present a foundational, scalable algorithm architecture for processing data from aperture synthesis radio telescopes. The analysis leading to the architecture is rooted in the theory of aperture synthesis, signal processing and numerical optimization keeping it scalable for variations in computing load, algorithmic complexity, and accommodate the continuing evolution of algorithms. It also adheres to scientific software design principles and use of modern performance engineering techniques p…

Nonlinear rough Fokker-Planck equations
Fabio Bugini, Peter K. Friz, Wilhelm Stannat
https://arxiv.org/abs/2507.17469 https://arxiv.org/pdf/2507.17469

Nonlinear rough Fokker-Planck equations
McKean-Vlasov SDEs describe systems where the dynamics depend on the law of the process. The corresponding Fokker-Planck equation is a nonlinear, nonlocal PDE for the corresponding measure flow. In the presence of common noise and conditional law dependence, the evolution becomes random and is governed by a stochastic Fokker-Planck equation; that is, a nonlinear, nonlocal SPDE in the space of measures. (Such equations constitute an important ingredient in the theory of mean-field games with com…

From confinement to chaos in AdS/CFT correspondence via non-equilibrium local states
Dmitry S. Ageev, Vladimir A. Bykov
https://arxiv.org/abs/2507.22999 https://

From confinement to chaos in AdS/CFT correspondence via non-equilibrium local states
In this paper, we study excited states in Anti-de Sitter (AdS) space prepared by local operator insertions of a massive scalar field, corresponding to operator quenches for free fields in AdS. Using the AdS/CFT correspondence, we compute the time evolution of boundary observables in the dual states. We then introduce a hard wall in AdS Poincare coordinates to impose an infrared cutoff, creating a confining deformation of the dual conformal field theory, and analyze the dynamics of excited state…

The Epistemic Support-Point Filter (ESPF): A Bounded Possibilistic Framework for Ordinal State Estimation
Moriba Jah, Van Haslett
https://arxiv.org/abs/2508.20806 https://

The Epistemic Support-Point Filter (ESPF): A Bounded Possibilistic Framework for Ordinal State Estimation
Traditional state estimation methods rely on probabilistic assumptions that often collapse epistemic uncertainty into scalar beliefs, risking overconfidence in sparse or adversarial sensing environments. We introduce the Epistemic Support-Point Filter (ESPF), a novel non-Bayesian filtering framework fully grounded in possibility theory and epistemic humility. ESPF redefines the evolution of belief over state space using compatibility-weighted support updates, surprisalaware pruning, and adaptiv…

This https://arxiv.org/abs/2506.05678 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

Numerical Investigation of Sequence Modeling Theory using Controllable Memory Functions
The evolution of sequence modeling architectures, from recurrent neural networks and convolutional models to Transformers and structured state-space models, reflects ongoing efforts to address the diverse temporal dependencies inherent in sequential data. Despite this progress, systematically characterizing the strengths and limitations of these architectures remains a fundamental challenge.In this work, we propose a synthetic benchmarking framework to evaluate how effectively different sequenc…

Mean-field theory of the electromagnon resonance
Pavel A. Andreev, Mariya Iv. Trukhanova
https://arxiv.org/abs/2506.15829 https://arx…

Mean-field theory of the electromagnon resonance
We present the analytical theory of the electromagnon resonance for the multiferroics of spin origin. We consider the spin density evolution under the influence of magnetoelectric coupling in the presence of the electromagnetic wave. The dielectric permeability is found for the eigen-wave perturbations accompanied by perturbations of the electric field. The imaginary part of the dielectric permeability is found as the function of the applied electric field frequency, while the frequency of the …

Data-driven quantum Koopman method for simulating nonlinear dynamics
Baoyang Zhang, Zhen Lu, Yaomin Zhao, Yue Yang
https://arxiv.org/abs/2507.21890 https://

Data-driven quantum Koopman method for simulating nonlinear dynamics
Quantum computation offers potential exponential speedups for simulating certain physical systems, but its application to nonlinear dynamics is inherently constrained by the requirement of unitary evolution. We propose the quantum Koopman method (QKM), a data-driven framework that bridges this gap through transforming nonlinear dynamics into linear unitary evolution in higher-dimensional observable spaces. Leveraging the Koopman operator theory to achieve a global linearization, our approach ma…

Fluid dynamics of charm quarks from heavy to light-ion collisions
Federica Capellino, Andrea Dubla, Rossana Facen, Stefan Floerchinger, Eduardo Grossi, Andreas Kirchner
https://arxiv.org/abs/2508.21600

Fluid dynamics of charm quarks from heavy to light-ion collisions
Heavy quarks are powerful tools to characterize the quark-gluon plasma (QGP) produced in relativistic nuclear collisions. By exploiting a mapping between transport theory and hydrodynamics, we developed a fluid-dynamic description of heavy-quark diffusion in the QCD plasma. We present results for the transverse momentum distributions of charm hadrons and evolution of charm density and diffusion fields obtained using a fluid-dynamic code coupled with the conservation of a heavy-quark current in …

Tidal dissipation and synchronization of the temperate exo-Earth LP 791-18d
Sylvio Ferraz-Mello, Thayn\'a Menezes Bechara, Raphael Alves-Silva
https://arxiv.org/abs/2506.13621

Tidal dissipation and synchronization of the temperate exo-Earth LP 791-18d
The creep tide theory is used to explore several aspects of the tidal evolution of the planetary system of the M-star LP 791-18 . We discuss the early synchronization of the exo-Earth LP 791-18d and show that the trapping of its rotation in a 3:2 spin-orbit resonance would only have been possible if its eccentricity were approximately 0.04 or larger. The planet is likely in synchronous rotation. The perturbations of the other planets in the system do not allow the complete damping of the orbita…

Entropy proxy inversions as tracers of the evolution of physical conditions at the base of the solar convective envelope
G. Buldgen, A. Noels, V. A. Baturin, J. Christensen-Dalsgaard, S. V. Ayukov, A. V. Oreshina, R. Scuflaire
https://arxiv.org/abs/2506.09503

Entropy proxy inversions as tracers of the evolution of physical conditions at the base of the solar convective envelope
The Sun is an important calibrator for the theory of stellar structure and evolution. However, the accuracy of our solar evolution models is tightly linked to the physical ingredients that enter their computations. This include, amongst other, the equation of state, the opacities, the transport of chemicals and the modelling of turbulent convection. Deriving model-independent probes of these ingredients is therefore crucial to further test the quality of these ingredients and potentially reveal…

Avoiding spectral pollution for transfer operators using residuals
April Herwig, Matthew J. Colbrook, Oliver Junge, P\'eter Koltai, Julia Slipantschuk
https://arxiv.org/abs/2507.16915

Avoiding spectral pollution for transfer operators using residuals
Koopman operator theory enables linear analysis of nonlinear dynamical systems by lifting their evolution to infinite-dimensional function spaces. However, finite-dimensional approximations of Koopman and transfer (Frobenius--Perron) operators are prone to spectral pollution, introducing spurious eigenvalues that can compromise spectral computations. While recent advances have yielded provably convergent methods for Koopman operators, analogous tools for general transfer operators remain limite…

Probing missing physics from inspiralling compact binaries via time-frequency tracks
Debtroy Das, Soumen Roy, Anand S. Sengupta, Cosimo Bambi
https://arxiv.org/abs/2507.21566 ht…

Probing missing physics from inspiralling compact binaries via time-frequency tracks
The orbital evolution of binary black hole (BBH) systems is determined by the component masses and spins of the black holes and the governing gravity theory. Gravitational wave (GW) signals from the evolution of BBH orbits offer an unparalleled opportunity for examining the predictions of General Relativity (GR) and for searching for missing physics in the current waveform models. We present a method of stacking up the time-frequency pixel energies through the orbital frequency evolution with t…

Analysis of Solow-Swan model with nonlocal fractional derivative operator
MO Aibinu, KJ Duffy, S Moyo
https://arxiv.org/abs/2508.06883 https://arxiv.org/pd…

Analysis of Solow-Swan model with nonlocal fractional derivative operator
The Solow-Swan equation is a foundational model in the evolution of modern economic growth theory. It offers key insights into the long-term behaviour of capital accumulation and output. Since its inception, the model has served as a cornerstone for understanding macroeconomic dynamics and has inspired a vast body of subsequent research. However, traditional formulations of the Solow-Swan model rely on integer-order derivatives, which may not fully capture the memory and hereditary properties o…

Metric-Induced Principal Symbols in Nonlinear Electrodynamics
\'Erico Goulart, Eduardo Bittencourt
https://arxiv.org/abs/2508.09859 https://arxiv.org/p…

Metric-Induced Principal Symbols in Nonlinear Electrodynamics
We present a geometrical formulation of nonlinear electrodynamics by expressing its principal symbol as an optical metric-induced object. Under the assumption of no birefringence, we show that the evolution of linear perturbations can be recast as a covariant divergence on a curved, field-dependent background, enabling the application of quantum field theory techniques as in Maxwell's theory in curved backgrounds. This geometric reformulation opens a new route for analogue models potentially im…

Precision tests of third-generation four-quark operators: $gg \to h$ and $h \to \gamma \gamma$
Ulrich Haisch, Marco Niggetiedt
https://arxiv.org/abs/2507.20803 https://

Precision tests of third-generation four-quark operators: $gg \to h$ and $h \to γγ$
We compute the two-loop contributions to Higgs production via gluon-gluon fusion ($gg \to h$) and Higgs decay into two photons ($h \to γγ$), arising from third-generation four-quark operators in the Standard Model effective field theory (SMEFT). Our analysis is performed in the broken phase of the theory, retaining the full dependence on the Higgs and heavy-quark masses. This includes both finite matching corrections and logarithmic effects stemming from the renormalization group evolution wi…

Towards a theory of coupled sociopolitical events-planetary boundaries, crises, policrisis and Earth System syndromes
Orfeu Bertolami, Ricardo El\'isio
https://arxiv.org/abs/2507.16423

Towards a theory of coupled sociopolitical events-planetary boundaries, crises, policrisis and Earth System syndromes
The impact of the human activities can be evaluated by the Planetary Boundaries (PBs), however, so far it is not clear how to assess the influence of specific sociopolitical events (SPEs) on the Earth System (ES) and at the same measure, without a suitable framework, to gauge how these affect the PBs. In this work, we propose an interacting matrix model that couples SPEs with the PBs and consider the possible evolution scenarios and, in particular, those leading to crises and policrisis. We add…

The unreasonable likelihood of being: origin of life, terraforming, and AI
Robert G. Endres
https://arxiv.org/abs/2507.18545 https://arxiv.org/pdf/2507.185…

The unreasonable likelihood of being: origin of life, terraforming, and AI
The origin of life on Earth via the spontaneous emergence of a protocell prior to Darwinian evolution remains a fundamental open question in physics and chemistry. Here, we develop a conceptual framework based on information theory and algorithmic complexity. Using estimates grounded in modern computational models, we evaluate the difficulty of assembling structured biological information under plausible prebiotic conditions. Our results highlight the formidable entropic and informational barri…

Size-Dependent Structural Motifs in Ag$_n$Mo (n = 2-13) Clusters: From Planar to Icosahedral Architectures
Samantha Ortega-Flores, Peter Ludwig Rodr\'iguez-Kessler
https://arxiv.org/abs/2509.02984 …

Size-Dependent Structural Motifs in Ag$_n$Mo (n = 2-13) Clusters: From Planar to Icosahedral Architectures
We present a comprehensive density functional theory (DFT) study of Mo-doped silver clusters Ag$_n$Mo ($n=1$-14), focusing on their structural, electronic, and bonding properties. Global optimization reveals an evolution from planar and low-symmetry isomers in small clusters to compact three-dimensional geometries with higher symmetry, culminating in a highly stable icosahedral structure at $n=12$. Binding energy and second-order energy difference analyses identify $n=12$ as a "magic number" cl…

Singularity Resolution of Quantum Black Holes in (A)dS
Sofie Ried
https://arxiv.org/abs/2508.20794 https://arxiv.org/pdf/2508.20794

Singularity Resolution of Quantum Black Holes in (A)dS
The singularities present at the centre of black holes signal a break down of the classical theory. In this paper, we demonstrate a resolution of the Schwarzschild-(Anti-)de Sitter singularity by imposing unitary evolution with respect to unimodular time. Employing the Henneaux-Teitelboim formulation of unimodular gravity, we perform a canonical quantization on a symmetry-reduced Schwarzschild-(Anti-) de Sitter model. This leads to a Wheeler-DeWitt equation that effectively becomes a Schröding…

Thermal History of Non-equilibrated Scalars
V. Knapp-Perez, Gopolang Mohlabeng, Michael Ratz, Tim M. P. Tait
https://arxiv.org/abs/2507.21523 https://arxiv…

Thermal History of Non-equilibrated Scalars
Scalar fields in the early Universe are mostly discussed in two limits: either in equilibrium or completely decoupled. In this work we discuss scenarios where there are scalar fields that are not in equilibrium, but for which the coupling to thermal bath leads to interesting non-trivial dynamics. For example, in theories where scalar fields control the effective couplings of the theory, such out-of-equilibrium behavior can lead to cases where the couplings vary during cosmological evolution. We…

Investigating $f(R)$-Inflation: background evolution and constraints
Elisa Fazzari, Chiara De Leo, Giovanni Montani, Matteo Martinelli, Alessandro Melchiorri, Guadalupe Ca\~nas-Herrera
https://arxiv.org/abs/2507.13890

Investigating $f(R)$-Inflation: background evolution and constraints
In this work, we investigate the possibility of generating an inflationary mechanism within the framework of a metric-$f(R)$ modified gravity theory, formulated in the Jordan frame. We explore whether the scalar field, non-minimally coupled to gravity and emerging in the Jordan frame, can play the role of the primordial inflaton. Particular attention is devoted to constructing a dynamical scenario in the Jordan frame that exhibits a slow-rolling phase for the scalar field and admits a quasi-de …

The orbital period changes for novae
Wenshi Tang, Xiangdong Li, Bo Wang
https://arxiv.org/abs/2507.22331 https://arxiv.org/pdf/2507.22331

The orbital period changes for novae
Cataclysmic variable (CVs) are close interacting binaries in which a white dwarf accretes materials from a low mass main sequence companion. CVs can experience nova eruptions due to low mass transfer rates. In the standard theory of CV evolution, the ejected materials during nova eruptions are assumed to leave the system in the form of fast, isotropic, optically thick winds, which predicts that novae only result in positive variation (expansion) of orbital period (i.e. positive $ΔP$). In addit…

Theory of Exozodi Sources and Dust Evolution
Mark C. Wyatt, Tim D. Pearce, Nicole Pawellek, Sarah Dodson-Robinson, Virginie C. Faramaz-Gorka, Isabel Rebollido, Jessica K. Rigley, Christopher C. Stark
https://arxiv.org/abs/2508.11754

Theory of Exozodi Sources and Dust Evolution
Exozodiacal dust disks (exozodis) are populations of warm (~300K) or hot (~1000K) dust, located in or interior to a star's habitable zone, detected around ~25% of main-sequence stars as excess emission over the stellar photosphere at mid- or near-infrared wavelengths. Often too plentiful to be explained by an in-situ planetesimal belt, exozodi dust is usually thought to be transported inwards from further out in the system. There is no consensus on which (if any) of various proposed dynamical m…

Linear mode conversion theory of radio emission from turbulent solar wind plasmas
Catherine Krafft, Alexandr Volokitin
https://arxiv.org/abs/2507.13856 htt…

Linear mode conversion theory of radio emission from turbulent solar wind plasmas
This work presents a new theoretical and numerical model describing all possible linear interactions between upper-hybrid wave turbulence and random density fluctuations in a solar wind plasma; not only linear processes as wave reflection, refraction, scattering, tunneling, trapping, or mode conversion at constant frequency are taken into account, but also linear wave coupling, interferences between scattered waves, etc. Compact equations describing the time evolution of electromagnetic fields …

Entanglement harvesting and curvature of entanglement: A modular operator approach
Rupak Chatterjee
https://arxiv.org/abs/2508.12497 https://arxiv.org/pdf/…

Entanglement harvesting and curvature of entanglement: A modular operator approach
An operator-algebraic framework based on Tomita-Takesaki modular theory is used to study aspects of quantum entanglement via the application of the modular conjugation operator $J$. The entanglement structure of quantum fields is studied through the protocol of entanglement harvesting whereby by quantum correlations evolve through the time evolution of qubit detectors coupled to a Bosonic field. Modular conjugation operators are constructed for Unruh-Dewitt type qubits interacting with a scalar…

Solving the QCD effective kinetic theory with neural networks
Sergio Barrera Cabodevila, Aleksi Kurkela, Florian Lindenbauer
https://arxiv.org/abs/2506.19632

Solving the QCD effective kinetic theory with neural networks
Event-by-event QCD kinetic theory simulations are hindered by the large numerical cost of evaluating the high-dimensional collision integral in the Boltzmann equation. In this work, we show that a neural network can be used to obtain an accurate estimate of the collision integral in a fraction of the time required for the ordinary Monte Carlo evaluation of the integral. We demonstrate that for isotropic and anisotropic distribution functions, the network accurately predicts the time evolution o…

Gauge-invariant Wigner equation for electromagnetic fields: Strong and weak formulation
Clemens Etl, Mauro Ballicchia, Mihail Nedjalkov, Hans Kosina
https://arxiv.org/abs/2506.11816

Gauge-invariant Wigner equation for electromagnetic fields: Strong and weak formulation
Gauge-invariant Wigner theory describes the quantum-mechanical evolution of charged particles in the presence of an electromagnetic field in phase space, which is spanned by position and kinetic momentum. This approach is independent of the chosen potentials, as it depends only on the electric and magnetic field variables. Several approaches to derive a gauge-invariant Wigner evolution equation have been reported, which are generally complex. This work presents a new formulation for a single el…

Modeling the evolution of collective synchrony
Guy Amichay, Ruoming Gong, Daniel M. Abrams
https://arxiv.org/abs/2508.20006 https://arxiv.org/pdf/2508.2000…

Modeling the evolution of collective synchrony
Group synchrony in the animal kingdom is usually associated with mating. Being in sync is likely advantageous, as it may help in luring the opposite sex. Yet there are also disadvantages -- such as the homogenization of the group -- which make it harder for individuals to stand-out. Here we address this tradeoff, bringing together the Kuramoto model with concepts from evolutionary game theory. We focus on the existence of self-interested ''cheaters,'' which have been extensively studied in a va…

Sociophysics models inspired by the Ising model
Pratik Mullick, Parongama Sen
https://arxiv.org/abs/2506.23837 https://arxiv.org/pdf/…

Sociophysics models inspired by the Ising model
The Ising model, originally developed for understanding magnetic phase transitions, has become a cornerstone in the study of collective phenomena across diverse disciplines. In this review, we explore how Ising and Ising-like models have been successfully adapted to sociophysical systems, where binary-state agents mimic human decisions or opinions. By focusing on key areas such as opinion dynamics, financial markets, social segregation, game theory, language evolution, and epidemic spreading, w…

Extension of Second-Principles Density Functional Theory into the time domain
Toraya Fern\'andez-Ruiz, Jorge \'I\~niguez, Javier Junquera, Pablo Garc\'ia-Fern\'andez
https://arxiv.org/abs/2507.13824

Extension of Second-Principles Density Functional Theory into the time domain
We present an extension of the second-principles density functional theory (SPDFT) method to perform time-dependent simulations. Our approach, which calculates the evolution of the density matrix in real time and real space using the Liouville-von Neumann equation of motion, allows determining optical and transport properties for very large systems, involving tens of thousands of atoms, using very modest computational platforms. In contrast with other methods, we show that SPDFT can be applied …

Explosions of pulsating red supergiants: a natural pathway for the diversity of Type II-P/L supernovae
V. A. Bronner, E. Laplace, F. R. N. Schneider, Ph. Podsiadlowski
https://arxiv.org/abs/2508.11077 …

Explosions of pulsating red supergiants: a natural pathway for the diversity of Type II-P/L supernovae
Red supergiants (RSGs), which are progenitors of hydrogen-rich Type II supernovae (SNe), have been known to pulsate from both observations and theory. The pulsations can be present at core collapse and affect the resulting SN. However, SN light curve models of such RSGs commonly use hydrostatic progenitor models and ignore pulsations. Here, we model the final stages of a 15 solar-mass RSG and self-consistently follow the hydrodynamical evolution. We find the growth of large amplitude radial pul…

Quantum thermodynamics in a rotating BTZ black hole spacetime
Wenjing Chen, Yixuan Ma, Si-Wei Han, Zihao Wang, Jun Feng
https://arxiv.org/abs/2507.16787 ht…

Quantum thermodynamics in a rotating BTZ black hole spacetime
We address the problem of the thermalization process for an Unruh-DeWitt (UDW) detector outside a BTZ black hole, from a perspective of quantum thermodynamics. In the context of an open quantum system, we derive the complete dynamics of the detector, which encodes a complicated response to scalar background fields. Using various information theory tools, such as quantum relative entropy, quantum heat, coherence, quantum Fisher information, and quantum speed of evolution, we examined three quant…

Wavefunction branches demand a definition!
C. Jess Riedel
https://arxiv.org/abs/2506.15663 https://arxiv.org/pdf/2506.15663

Wavefunction branches demand a definition!
Under unitary evolution, a typical macroscopic quantum system is thought to develop wavefunction branches: a time-dependent decomposition into orthogonal components that (1) form a tree structure forward in time, (2) are approximate eigenstates of quasiclassical macroscopic observables, and (3) exhibit effective collapse of feasibly measurable observables. If they could be defined precisely, wavefunction branches would extend the theory of decoherence beyond the system-environment paradigm and …

Anisotropic Spacetimes in $f(G)$-gravity: Bianchi I, Bianchi III and Kantowski-Sachs Cosmologies
R. Bogadi, A. Giacomini, M. Govender, C. Hansraj, G. Leon, A. Paliathanasis
https://arxiv.org/abs/2508.18055

Anisotropic Spacetimes in $f(G)$-gravity: Bianchi I, Bianchi III and Kantowski-Sachs Cosmologies
We investigate the evolution of cosmological anisotropies within the framework of $f\left(G\right)$-gravity. Specifically, we consider a locally rotationally symmetric geometry in four-dimensional spacetime that describes the Bianchi I, Bianchi III, and the Kantowski-Sachs spacetimes. Within this context, we introduce a Lagrange multiplier which allows us to reformulate the geometric degrees of freedom in terms of a scalar field. The resulting theory is dynamically equivalent to an Einstein-Gau…

Global strong solutions to the frame hydrodynamics for biaxial nematic phases
Minjiang Feng, Sirui Li, Qi Zeng
https://arxiv.org/abs/2508.06376 https://arx…

Global strong solutions to the frame hydrodynamics for biaxial nematic phases
In this article, we consider the frame hydrodynamics of biaxial nematic phases, a coupled system between the evolution of the orthonormal frame and the Navier--Stokes equation, which is derived from a molecular-theory-based dynamical tensor model about two second-order tensors. In two and three dimensions, we establish global well-posedness of strong solutions to the Cauchy problem of frame hydrodynamics for small initial data. The key ingredient of the proof relies on estimates of nonlinear te…

This https://arxiv.org/abs/2410.07029 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Geometric Floquet theory
We derive Floquet theory from quantum geometry. We identify quasienergy folding as a consequence of a broken gauge group of the adiabatic gauge potential $U(1){\mapsto}\mathbb{Z}$. Fixing instead the gauge freedom using the parallel-transport gauge uniquely decomposes Floquet dynamics into a purely geometric and a purely dynamical evolution. The dynamical average-energy operator provides an unambiguous sorting of the quasienergy spectrum, identifying a Floquet ground state and suggesting a way …

Diagonalising the LEFT
Sophie Renner, Benjamin Smith, Dave Sutherland
https://arxiv.org/abs/2507.18689 https://arxiv.org/pdf/2507.18689

Diagonalising the LEFT
We organise the four-fermion vector current interactions below the weak scale -- i.e., in the low energy effective field theory (LEFT) -- into irreps of definite parity and $SU(N)$ flavour symmetry. Their coefficients are thus arranged into small subsets with distinct phenomenology, which are significantly smaller than traditional groupings of operators by individual fermion number. As these small subsets only mix among themselves, we show that the renormalisation group evolution is soluble sem…

The Dynamics of Cosmic Evolution: Insights from Bouncing Cosmology
M. Sharif, M. Zeeshan Gul, Ahmad Nawaz
https://arxiv.org/abs/2508.06586 https://arxiv.or…

The Dynamics of Cosmic Evolution: Insights from Bouncing Cosmology
The primary aim of this work is to explore feasible bouncing cosmological solutions in the framework of $f(\mathcal{Q}, \mathcal{C})$ gravity, where $\mathcal{Q}$ denotes non-metricity and $\mathcal{C}$ indicates the boundary term. To achieve this, we analyze the dynamics of a Bianchi type-I spacetime with perfect fluid distribution. We consider various functional forms of $f(\mathcal{Q,C})$ theory to assess how this modified gravity framework influences cosmic evolution. Additionally, we exami…

Electronic and optical properties of the thio-apatites phases Ba$_5$(VS$_{\alpha}$O$_{\beta}$)$_3$X [X=Cl, F, Br, I]: impact of multiple anionic substitution
Smritijit Sen, Houria Kabbour
https://arxiv.org/abs/2507.08308

Electronic and optical properties of the thio-apatites phases Ba$_5$(VS$_α$O$_β$)$_3$X [X=Cl, F, Br, I]: impact of multiple anionic substitution
A systematic study of the electronic structure and optical properties of the thio-apatites Ba$_5$(VS$_α$O$_β$)$_3$X (X= Cl, F, Br, I) is carried out through first principles density functional theory simulations. The band gap and properties evolution from fluorine to iodine on fixed O/S ratios, as well as by substituting sulfur (S) for oxygen (O) are discussed. The reduction of the band gap by raising valence band energy levels, with an increasing S/O ratio can also be further modulated by th…

Variational Time Evolution Compression for Solving Impurity Models on Quantum Hardware
Stefan Wolf, Martin Eckstein, Michael J. Hartmann
https://arxiv.org/abs/2508.10526 https:/…

Variational Time Evolution Compression for Solving Impurity Models on Quantum Hardware
Dynamical mean-field theory (DMFT) is a useful tool to analyze models of strongly correlated fermions like the Hubbard model. In DMFT, the lattice of the model is replaced by a single impurity site embedded in an effective bath. The resulting single impurity Anderson model (SIAM) can then be solved self-consistently with a quantum-classical hybrid algorithm. This procedure involves repeatedly preparing the ground state on a quantum computer and evolving it in time to measure the Greens function…

Momentum-space Metric Tensor from Nonadiabatic Evolution of Bloch Electrons
Yafei Ren
https://arxiv.org/abs/2506.06439 https://arxiv.…

Momentum-space Metric Tensor from Nonadiabatic Evolution of Bloch Electrons
We reveal a fundamental geometric structure of momentum space arising from the nonadiabatic evolution of Bloch electrons. By extending semiclassical wave packet theory to incorporate nonadiabatic effects, we introduce a momentum-space metric tensor -- the nonadiabatic metric. This metric gives rise to two velocity corrections, dubbed geometric and geodesic velocities, providing a unified and intuitive framework for understanding nonlinear and nonadiabatic transport phenomena beyond Berry phase …

Surface growth scheme for bulk reconstruction and $T\bar T$ deformation
Hao-Chun Liang, Jia-Rui Sun, Yuan Sun
https://arxiv.org/abs/2507.18435 https://arxi…

Surface growth scheme for bulk reconstruction and $T\bar T$ deformation
In this paper, we study the dynamical connection between the surface growth scheme and the conformal field theory with $T\bar{T}$ deformation. By utilizing the extended one-shot entanglement distillation tensor network, we find that the iterative growth, i.e. radial evolution of homogenous and isotropic bulk minimal surfaces in asymptotically anti-de Sitter (AdS) spacetime can be mapped to the $T\bar{T}$ operator flow driven by the deformation parameter. Our results show that the $T\bar{T}$ def…

A multi-parameter expansion for the evolution of asymmetric binaries in astrophysical environments
Sayak Datta, Andrea Maselli
https://arxiv.org/abs/2507.04471

A multi-parameter expansion for the evolution of asymmetric binaries in astrophysical environments
Compact binaries with large mass asymmetries - such as Extreme and Intermediate Mass Ratio Inspirals - are unique probes of the astrophysical environments in which they evolve. Their long-lived and intricate dynamics allow for precise inference of source properties, provided waveform models are accurate enough to capture the full complexity of their orbital evolution. In this work, we develop a multi-parameter formalism, inspired by vacuum perturbation theory, to model asymmetric binaries embed…

This https://arxiv.org/abs/2412.04325 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Clustering-induced localization of quantum walks on networks
Quantum walks on networks are a paradigmatic model in quantum information theory. Quantum-walk algorithms have been developed for various applications, including spatial-search problems, element-distinctness problems, and node centrality analysis. Unlike their classical counterparts, the evolution of quantum walks is unitary, so they do not converge to a stationary distribution. However, for many applications, it is important to understand the long-time behavior of quantum walks and the impact …

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves
S. D. Odintsov, V. K. Oikonomou
https://arxiv.org/abs/2507.04571

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves
The theory controlling the Universe's evolution in the classical regime has to be motivated by particle physics reasoning and should also generate inflation and dark energy eras in a unified way. One such framework is $F(R)$ gravity. In this work we examine a class of exponential deformations of $R^2$ gravity motivated by fundamental physics of scalaron evolution in a de Sitter background. As we show this class of models describe both inflation and the dark energy era in a viable way compatible…

Severe plastic deformations, mechanochemistry, and microstructure evolution under high pressure: In Situ Experiments, Four-Scale Theory, New Phenomena, and Rules
Valery I. Levitas
https://arxiv.org/abs/2508.14721

Severe plastic deformations, mechanochemistry, and microstructure evolution under high pressure: In Situ Experiments, Four-Scale Theory, New Phenomena, and Rules
Processes involving severe plastic deformations (SPD) and phase transformations and chemical reactions (PTs/CRs) under high pressures are widespread for obtaining new nanostructured phases and their processing, mechanochemical synthesis, military applications, and nature. SPD strongly reduce the pressure required for PTs/CRs (by one-two orders of magnitude) and PT hysteresis; lead to hidden metastable phases, which cannot be obtained otherwise, and substitute reversible PTs/CRs with irreversibl…

Relativistic Collapse Model with Quantised Time Variables
Daniel J. Bedingham, Philip Pearle
https://arxiv.org/abs/2506.07959 https://

Relativistic Collapse Model with Quantised Time Variables
A relativistic collapse model for distinguishable particles is presented. Position and time, for each particle, are the fundamental operators of the theory. The Schrödinger equation is of the CSL form, with a Hermitian Hamiltonian and an anti-Hermitian, white-noise dependent, Hamiltonian. It generates state vector evolution parametrised by an "evolution parameter". It is shown how this can be interpreted as an evolving state in spacetime with collapses satisfying Born rule probabilities, and h…