Tootfinder

A closer look at the algebraic-operator correspondence between position and momentum space in Quantum Mechanics
Siddharth Dwivedi
https://arxiv.org/abs/2506.10950

A closer look at the algebraic-operator correspondence between position and momentum space in Quantum Mechanics
In this work we take a closer look at the algebraic-operator correspondence between the momentum ($k$) space and the position ($x$) space which gives us the form of the momentum operator in position space and vice versa in Quantum Mechanics. Taking the definition of the Fourier Transform as the starting point, we present a two parameter generalisation of the form of the momentum operator in position space followed by a generalisation of the momentum eigenfunctions and a few other results. It is…

"Uncovering the mechanics of The Games: Winter Challenge"
A story about how an investigation into the game mechanics of an old DOS game turns into much more interesting side quests. Includes 16-bit x86 assembly.
https://mrwint.github.io/winter/writeup/writeup.…

Numerical approximation of a PDE-constrained Optimization problem that appears in Data-Driven Computational Mechanics
Pedro B. Bazon, Cristian G. Gebhardt, Gustavo C. Buscaglia, Roberto F. Ausas
https://arxiv.org/abs/2506.10894

Numerical approximation of a PDE-constrained Optimization problem that appears in Data-Driven Computational Mechanics
We investigate an optimization problem that arises when working within the paradigm of Data-Driven Computational Mechanics. In the context of the diffusion-reaction problem, such an optimization problem seeks for the continuous primal fields (gradient and flux) that are closest to some predefined discrete fields taken from a material data set. The optimization is performed over primal fields that satisfy the physical conservation law and the geometrical compatibility. We consider a reaction ter…

Statistical mechanics of fluids with hidden degrees of freedom
Masanari Shimada, Tetsuya J. Kobayashi
https://arxiv.org/abs/2506.10253 https://

Statistical mechanics of fluids with hidden degrees of freedom
Although coarse-grained models have been widely used to explain exotic phenomena in complex fluids, such as droplet formation in living cells, these conventional approaches often fail to capture the intricate microscopic degrees of freedom that such fluids inherently possess. In this study, we propose a model that incorporates distinct microscopic degrees of freedom and their interactions, without directly relying on conventional coarse-grained descriptions. By introducing two key assumptions, …

This https://arxiv.org/abs/2412.09453 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCE_…

Finite-PINN: A Physics-Informed Neural Network with Finite Geometric Encoding for Solid Mechanics
PINN models have demonstrated capabilities in addressing fluid PDE problems, and their potential in solid mechanics is beginning to emerge. This study identifies two key challenges when using PINN to solve general solid mechanics problems. These challenges become evident when comparing the limitations of PINN with the well-established numerical methods commonly used in solid mechanics, such as the finite element method (FEM). Specifically: a) PINN models generate solutions over an infinite doma…

Skin Deep (PC)
There's a new pirate queen in space, and she has a hit out on you, insurance commando extraordinaire Nina Pasadena. Get out there and save those cats!
TL;DR: a fun FPS stealth-ish romp with a good sense of humor and mechanics.
Skin Deep is weird, but in a good way. For some reason this universe is populated with voxel cats that crew space ships, and it's your job to get tucked away in cryosleep until pirates hijack them. Then you're woken up and h…

Diffusion-Based Hierarchical Graph Neural Networks for Simulating Nonlinear Solid Mechanics
Tobias W\"urth, Niklas Freymuth, Gerhard Neumann, Luise K\"arger
https://arxiv.org/abs/2506.06045

Diffusion-Based Hierarchical Graph Neural Networks for Simulating Nonlinear Solid Mechanics
Graph-based learned simulators have emerged as a promising approach for simulating physical systems on unstructured meshes, offering speed and generalization across diverse geometries. However, they often struggle with capturing global phenomena, such as bending or long-range correlations, and suffer from error accumulation over long rollouts due to their reliance on local message passing and direct next-step prediction. We address these limitations by introducing the Rolling Diffusion-Batched …

[2025-06-13 Fri (UTC), 1 new article found for cond-mat.stat-mech Statistical Mechanics]
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#potd Galactic Cruise: Another nice board game, smooth mechanics and interesting end conditions. http://domm.plix.at/potd/2025-06-07.html

Entropic Dynamics approach to Relational Quantum Mechanics
Ariel Caticha, Hassaan Saleem
https://arxiv.org/abs/2506.07921 https://arx…

Entropic Dynamics approach to Relational Quantum Mechanics
The general framework of Entropic Dynamics (ED) is used to construct non-relativistic models of relational quantum mechanics from well known inference principles -- probability, entropy and information geometry. Although only partially relational -- the absolute structures of simultaneity and Euclidean geometry are still retained -- these models provide a useful testing ground for ideas that will prove useful in the context of more realistic relativistic theories. The fact that in ED the positi…

On local well-posedness for the nonlinear Schr\"odinger equation with general power nonlinearity
Lucia Arens, Marius Gritl
https://arxiv.org/abs/2506.10595

On local well-posedness for the nonlinear Schrödinger equation with general power nonlinearity
The nonlinear Schrödinger equation plays a fundamental role in mathematical physics, particularly in the study of quantum mechanics and Bose-Einstein condensation. This paper explores two distinct approaches to establishing the local well-posedness of solutions: the semigroup theory ansatz and the Strichartz estimates ansatz. Semigroup theory provides a general and elegant framework rooted in functional analysis, allowing for the interpretation of the time evolution of solutions as operator se…

Balanced quasistatic evolutions of critical points in metric spaces
Stefano Almi, Massimo Fornasier, Jona Klemenc, Alessandro Scagliotti
https://arxiv.org/abs/2506.09812

Balanced quasistatic evolutions of critical points in metric spaces
Quasistatic evolutions of critical points of time-dependent energies exhibit piecewise smooth behavior, making them useful for modeling continuum mechanics phenomena like elastic-plasticity and fracture. Traditionally, such evolutions have been derived as vanishing viscosity and inertia limits, leading to balanced viscosity solutions. However, for nonconvex energies, these constructions have been realized in Euclidean spaces and assume non-degenerate critical points. In this paper, we take a di…

Lambert's problem in orbital dynamics: a self--contained introduction
Lenox Helene Baloglou, Parneet Gill, Tonatiuh S\'anchez-Vizuet
https://arxiv.org/abs/2506.10556

Lambert's problem in orbital dynamics: a self--contained introduction
Lambert's problem is a classical boundary value problem in analytical mechanics. It arises when trying to determine the energy required to place a particle, subject to a central gravitational potential, in a free fall trajectory connecting two given points on a desired travel time. Due to its mathematical beauty and its relevance in aerospace engineering, it has been and remains the object of attention of countless engineers, mathematicians (pure and applied), and physicists seeking to produce …

Variable Modified Newtonian Mechanics VII: Supermassive Black Hole at very high redshift
James C. C. Wong
https://arxiv.org/abs/2506.05423 https://

Variable Modified Newtonian Mechanics VII: Supermassive Black Hole at very high redshift
Observations of Supermassive Black Hole (SMBH) at very high redshift hosted by massive galaxy provide a challenge to the SMBH and massive galaxy formation models which are predicated on the Lambda CDM model that predicts a Hubble constant currently in tension with late time observations. In a gravitational system with two asymptotic solutions such as a central mass in an expanding cosmological background or an expanding background with radiation and baryons, we find that a particle's free falli…

This https://arxiv.org/abs/2506.00541 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCV_…

3D Trajectory Reconstruction of Moving Points Based on Asynchronous Cameras
Photomechanics is a crucial branch of solid mechanics. The localization of point targets constitutes a fundamental problem in optical experimental mechanics, with extensive applications in various missions of UAVs. Localizing moving targets is crucial for analyzing their motion characteristics and dynamic properties. Reconstructing the trajectories of points from asynchronous cameras is a significant challenge. It encompasses two coupled sub-problems: trajectory reconstruction and camera synchr…

Replaced article(s) found for physics.flu-dyn. https://arxiv.org/list/physics.flu-dyn/new/
[1/1]:
Physics-informed Kolmogorov-Arnold Network with Chebyshev Polynomials for Fluid Mechanics

This https://arxiv.org/abs/2310.14634 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Rules and Meaning in Quantum Mechanics
This book concerns the metasemantics of quantum mechanics (QM). Roughly, it pursues an investigation at the intersection of philosophy of physics and philosophy of language, and it offers a critical analysis of rival explanations of the semantic facts of standard QM. Two problems for such explanations are discussed: categoricity and permanence. New results include 1) a reconstruction of Einstein's incompleteness argument, which concludes that a local, separable, and categorical QM cannot exist,…

An interview with Mario Kart World producer Kosuke Yabuki on balancing chaos and accessibility, redesigning core mechanics, and more, ahead of its June 5 launch (Christopher Cruz/Rolling Stone)
https://www.rollingstone.com/culture/rs-ga

The Making of ‘Mario Kart World’: ‘We Have to Think About the Chaos’
Mario Kart World producer Kosuke Yabuki talks the interconnected world, 150cc speed, and the driving cow

Operator theoretic measure of causality in linear dynamical systems
Ankit Srivastava, Louis Cattafesta, Scott Dawson
https://arxiv.org/abs/2506.08118 https…

Operator theoretic measure of causality in linear dynamical systems
This paper introduces Linear Operator Causality Analysis (LOCA), a physics-based framework for analyzing causality in linear dynamical systems, with a focus on fluid mechanics. Unlike data-driven statistical methods like Granger causality, LOCA uses the matrix exponential from the system's governing equations to provide a more rigorous and interpretable measure of causal interactions. Our framework reveals that, under certain conditions, common data-driven measures effectively approximate the s…

Strain dependent viscous response describes the mechanics of cohesionless soft granular materials
Chandan Shakya, Luca Placidi, Anil Misra, Lars Kool, Anke Lindner, Jasper van der Gucht, Joshua A. Dijksman
https://arxiv.org/abs/2506.08855

Strain dependent viscous response describes the mechanics of cohesionless soft granular materials
Granular materials are ubiquitous in nature and are used extensively in daily life and in industry. The modeling of these materials remains challenging; therefore, finding models with acceptable predictive accuracy that at the same time also reflect the complexity of the granular dynamics is a central research theme in the field. Soft particle packings present additional modeling challenges, as it has become clear that soft particles also have particle-level relaxation timescales that affect th…

Comparing probability distributions: application to quantum states of light
Soumyabrata Paul, V. Balakrishnan, S. Ramanan, S. Lakshmibala
https://arxiv.org/abs/2506.10760

Comparing probability distributions: application to quantum states of light
Probability distributions play a central role in quantum mechanics, and even more so in quantum optics with its rich diversity of theoretically conceivable and experimentally accessible quantum states of light. Quantifiers that compare two different states or density matrices in terms of `distances' between the respective probability distributions include the Kullback-Leibler divergence $D_{\rm KL}$, the Bhattacharyya distance $D_{\rm B}$, and the $p$-Wasserstein distance $W_{p}$. We present a …

Axioms of Quantum Mechanics in light of Continuous Model Theory
Boris Zilber
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This https://arxiv.org/abs/2502.02661 has been replaced.
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The Conformal Primon Gas at the End of Time
The Belinksy-Khalatnikov-Lifshitz dynamics of gravity close to a spacelike singularity can be mapped, at each point in space separately, onto the motion of a particle bouncing within half the fundamental domain of the modular group. We show that the semiclassical quantisation of this motion is a conformal quantum mechanics where the states are constrained to be modular invariant. Each such state defines an odd automorphic $L$-function. In particular, in a basis of dilatation eigenstates the wav…

This https://arxiv.org/abs/2505.07510 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Towards a test of the Born rule in high-energy collisions
We consider how the Born rule, a fundamental principle of quantum mechanics, could be tested for particles created on the shortest timescales ($\sim10^{-25}\,\mathrm{s}$) currently accessible at high-energy colliders. We focus on targeted tests of the Born rule for spin or polarisation probabilities, which offer a particularly clean experimental signal, and which can be described by a simple hidden-variables model of two-state systems proposed by Bell. These probabilities test a remarkable feat…

This https://arxiv.org/abs/2506.01173 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDB_…

SIFBench: An Extensive Benchmark for Fatigue Analysis
Fatigue-induced crack growth is a leading cause of structural failure across critical industries such as aerospace, civil engineering, automotive, and energy. Accurate prediction of stress intensity factors (SIFs) -- the key parameters governing crack propagation in linear elastic fracture mechanics -- is essential for assessing fatigue life and ensuring structural integrity. While machine learning (ML) has shown great promise in SIF prediction, its advancement has been severely limited by the …

Meaning as Use, Application, Employment, Purpose, Usefulness
Ruy J. G. B. de Queiroz
https://arxiv.org/abs/2506.07131 https://arxiv.o…

Meaning as Use, Application, Employment, Purpose, Usefulness
Arising from the whole body of Wittgenstein's writings is a picture of a (not necessarily straight, linear, but admittedly tireless) journey to come to terms with the mechanics of language as an instrument to conceive `reality' and to communicate an acquired conception of the `world'. The journey passes through mathematics, psychology, color perception, certainty, aesthetic, but, looking at it from a sort of birdview, it seems reasonable to say that these are all used as `test beds' for his ref…

[2025-06-12 Thu (UTC), 2 new articles found for cond-mat.stat-mech Statistical Mechanics]
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This https://arxiv.org/abs/2402.16887 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSI_…

A Comprehensive Survey on Artificial Intelligence for Complex Network: Potential, Methodology and Application
Complex networks pervade various real-world systems, from the natural environment to human societies. The essence of these networks is in their ability to transition and evolve from microscopic disorder-where network topology and node dynamics intertwine-to a macroscopic order characterized by certain collective behaviors. Over the past two decades, complex network science has significantly enhanced our understanding of the statistical mechanics, structures, and dynamics underlying real-world n…

Dynamic and Geometric Shifts in Wave Scattering
Konstantin Y. Bliokh, Zeyu Kuang, Stefan Rotter
https://arxiv.org/abs/2506.07144 https://

Dynamic and Geometric Shifts in Wave Scattering
Since Berry's pioneering 1984 work, the separation of geometric and dynamic contributions in the phase of an evolving wave has become fundamental in wave physics, underpinning diverse phenomena in quantum mechanics, optics, and condensed matter. Here we extend this geometric-dynamic decomposition from the wave-evolution phase to a distinct class of wave scattering problems, where observables (such as frequency, momentum, or position) experience shifts in their expectation values between the inp…

Impacts between multibody systems and deformable structures
Lipinski Krzysztof
https://arxiv.org/abs/2506.10034 https://arxiv.org/pdf…

Impacts between multibody systems and deformable structures
Collisions and impacts are the principal reasons for impulsive motions, which we frequently see in dynamic responses of systems. Precise modelling of impacts is a challenging problem due to the lack of the accurate and commonly accepted constitutive law that governs their mechanics. Rigid-body approach and soft contact methods are discussed in this paper and examined in the presented numerical examples. The main focus is set to impacts in systems with multiple unilateral contacts and collisions…

The quantum theory of the electromagnetic field in the Weyl-Wigner representation as a local realistic model
Emilio Santos
https://arxiv.org/abs/2506.10023

The quantum theory of the electromagnetic field in the Weyl-Wigner representation as a local realistic model
I revisit the Wigner (or Weyl-Wigner, WW) representation of the quantum electromagnetic field. I show that, assuming that Fock states are just mathematical concepts devoid of physical reality, WW suggests a realistic interpretation which turns out to be (classical) Maxwell theory with the assumption that there is a random radiation filling space, the vacuum field. I elucidate why, in sharp constrast, non-relativistic quantum mechanics of particles does not admit a realistic interpretation via W…

Broken Symmetries, Information and Emergence: What is theory, that biology should be mindful of it?
Shakti N. Menon, Sitabhra Sinha
https://arxiv.org/abs/2506.07210

Broken Symmetries, Information and Emergence: What is theory, that biology should be mindful of it?
The discipline of `theoretical biology' has been developing from its inception several decades ago almost in parallel with the advances in biology, so much so that the latter is often considered to be almost exclusively an empirical science. However, the scenario has been changing in recent years with statistical mechanics, nonlinear dynamics and soft-matter physics being more and more frequently invoked to explain various biological observations. As distinct from computational biology, theoret…

This https://arxiv.org/abs/2506.00408 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Old Quantum Mechanics by Bohr and Sommerfeld from a Modern Perspective
We review Bohr's atomic model and its extension by Sommerfeld from a mathematical perspective of wave mechanics. The derivation of quantization rules and energy levels is revisited using semiclassical methods. Sommerfeld-type integrals are evaluated by elementary techniques, and connections with the Schrödinger and Dirac equations are established. Historical developments and key transitions from classical to quantum theory are discussed to clarify the structure and significance of the old quan…

Challenging Spontaneous Quantum Collapse with XENONnT
E. Aprile, J. Aalbers, K. Abe, S. Ahmed Maouloud, L. Althueser, B. Andrieu, E. Angelino, D. Ant\'on Martin, S. R. Armbruster, F. Arneodo, L. Baudis, M. Bazyk, L. Bellagamba, R. Biondi, A. Bismark, K. Boese, A. Brown, G. Bruno, R. Budnik, C. Cai, C. Capelli, J. M. R. Cardoso, A. P. Cimental Ch\'avez, A. P. Colijn, J. Conrad, J. J. Cuenca-Garc\'ia, C. Curceanu, V. D'Andrea, L. C. Daniel Garcia, M. P. Decowski, A. Deist…

Challenging Spontaneous Quantum Collapse with XENONnT
We report on the search for X-ray radiation as predicted from dynamical quantum collapse with low-energy electronic recoil data in the energy range of 1-140 keV from the first science run of the XENONnT dark matter detector. Spontaneous radiation is an unavoidable effect of dynamical collapse models, which were introduced as a possible solution to the long-standing measurement problem in quantum mechanics. The analysis utilizes a model that for the first time accounts for cancellation effects i…

A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics
Walter Boscheri, Michael Dumbser, Raphael Loub\`ere, Pierre-Henri Maire
https://arxiv.org/abs/2506.03081

A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics
In this work we present a novel structure-preserving scheme for the discretization of the Godunov-Peshkov-Romenski (GPR) model of continuum mechanics written in Lagrangian form. This model admits an extra conservation law for the total energy (first principle of thermodynamics) and satisfies the entropy inequality (second principle of thermodynamics). Furthermore, in the absence of algebraic source terms, the distortion field of the continuum and the specific thermal impulse satisfy a curl-free…

Liquid and solid layers in a thermal deep learning machine
Gang Huang, Lai Shun Chan, Hajime Yoshino, Ge Zhang, Yuliang Jin
https://arxiv.org/abs/2506.06789

Liquid and solid layers in a thermal deep learning machine
Based on deep neural networks (DNNs), deep learning has been successfully applied to many problems, but its mechanism is still not well understood -- especially the reason why over-parametrized DNNs can generalize. A recent statistical mechanics theory on supervised learning by a prototypical multi-layer perceptron (MLP) on some artificial learning scenarios predicts that adjustable parameters of over-parametrized MLPs become strongly constrained by the training data close to the input/output b…

On the fracture mechanics validity of small scale tests
C. Cui, L. Cupertino-Malheiros, Z. Xiong, E. Mart\'inez-Pa\~neda
https://arxiv.org/abs/2506.02538

On the fracture mechanics validity of small scale tests
There is growing interest in conducting small-scale tests to gain additional insight into the fracture behaviour of components across a wide range of materials. For example, micro-scale mechanical tests inside of a microscope (\emph{in situ}) enable direct, high-resolution observation of the interplay between crack growth and microstructural phenomena (e.g., dislocation behaviour or the fracture resistance of a particular interface), and sub-size samples are increasingly used when only a limite…

Uniqueness of phase retrieval from offset linear canonical transform
Jing Liu, Haiye Huo
https://arxiv.org/abs/2506.03944 https://arx…

Uniqueness of phase retrieval from offset linear canonical transform
The classical phase retrieval refers to the recovery of an unknown signal from its Fourier magnitudes, which is widely used in fields such as quantum mechanics, signal processing, optics, etc. The offset linear canonical transform (OLCT), which is a more general type of linear integral transform including Fourier transform (FT), fractional Fourier transform (FrFT), and linear canonical transform (LCT) as its special cases. Hence, in this paper, we focus on the uniqueness problem of phase retrie…

This https://arxiv.org/abs/2407.05345 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Review of Non-Equilibrium Thermodynamics And Statistical Mechanics of Vortex Gases in Tornado Theory
This work puts into mathematical, statistical mechanical, and thermodynamical context the initial stages of the genesis of tornado-like vortices with the aim to be consistent with the current state of knowledge of the process of tornadogenesis. In particular, it discusses a mathematical foundation of the formation of coherent structures such as ``cusps'' and ``hairpins'' using variants of the nonlinear Schrödinger equation that arise via the Hasimoto transform of a vortex filament model. The b…

Quantifying imaginarity of quantum operations
Chuanfa Wu, Zhaoqi Wu
https://arxiv.org/abs/2506.09747 https://arxiv.org/pdf/2506.09747…

Quantifying imaginarity of quantum operations
Complex numbers are theoretically proved and experimentally confirmed as necessary in quantum mechanics and quantum information, and a resource theory of imaginarity of quantum states has been established. In this work, we establish a framework to quantify the imaginarity of quantum operations from the perspective of the ability to create or detect imaginarity, following the idea by Theurer {\it et al.} [Phys. Rev. Lett. \textbf{122}, 190405 (2019)] used in coherence theory. We present two type…

PolyTrack: try try again
PolyTrack is a Trackmania tribute - almost identical gameplay mechanics, but with digital controls, simplified driving model, and a very stripped-back graphical style. It's even simpler than Virtua Racing in many ways, with the car having a polygon count almost in the single digits. This simplicity means that it runs incredibly smoothly, even in-browser at Much like Trackmania, the courses are short but deceptively tricky to complete.

[2025-06-11 Wed (UTC), 9 new articles found for cond-mat.stat-mech Statistical Mechanics]
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Two imaginarity monotones induced by unified $(\alpha,\beta)$-relative entropy
Chuanfa Wu, Zhaoqi Wu
https://arxiv.org/abs/2506.09799 https://

Two imaginarity monotones induced by unified $(α,β)$-relative entropy
Complex numbers play a pivotal role in both mathematics and physics, particularly in quantum mechanics, and are extensively utilized to depict the behavior of microscopic particles. Recognizing the significance of complex numbers, a framework of imaginarity resource theory has recently been established. In this work, we propose two types of imaginarity monotones induced by the unified $(α,β)$-relative entropy and investigate their properties. Moreover, we give explicit examples to illustrate …

Poincar\'e on Gibbs and on Probability in Statistical Mechanics
Bruce D. Popp
https://arxiv.org/abs/2505.12168 https://arxiv.org/…

Poincaré on Gibbs and on Probability in Statistical Mechanics
This paper reviews a paper from 1906 by J. Henri Poincaré on statistical mechanics with a background in his earlier work and notable connections to J. Willard Gibbs. Poincaré's paper presents important ideas that are still relevant for understanding the need for probability in statistical mechanics. Poincaré understands the foundations of statistical mechanics as a many-body problem in analytical mechanics (reflecting his 1890 monograph on The Three-Body Problem and the Equations of Dynamics…

Generalised Time-Series Analysis of Fault Mechanics Using Explainable AI
Thomas King, Sergio Vinciguerra
https://arxiv.org/abs/2505.21312 https://

Generalised Time-Series Analysis of Fault Mechanics Using Explainable AI
Understanding how faults nucleate and grow is a critical problem in earthquake science and hazard assessment. This study examines fault development in Alzo granite under triaxial pressures ranging from 5 to 40 MPa by applying a Time Delay Neural Network (TDNN) to multi-parameter acoustic emission (AE) data. The TDNN integrates waveform-derived attributes, including peak delay and scattering attenuation, with occurrence-based metrics such as time distributions, Gutenberg-Richter b-values, and sp…

This https://arxiv.org/abs/2503.01600 has been replaced.
initial toot: https://mastoxiv.page/@a…

Is Triboelectricity Confusing, Confused or Complex?
In this report, we look at the fundamental physics of triboelectricity, charge transfer due to contact and sliding. While much of the report focuses upon recent advances such as the incorporation of flexoelectric contributions, we also include older work, some from centuries ago, which only now can be understood in a general sense. Basic concepts and theories ranging from elements of tribology and contact mechanics through semiconductor built-in potentials, electromechanical terms, mechanochemi…

First systematic experimental 2D mapping of linearly polarized $\gamma$-ray polarimetric distribution in relativistic Compton scattering
Kaijie Chen, Xiangfei Wang, Hanghua Xu, Gongtao Fan, Zirui Hao, Longxiang Liu, Yue Zhang, Sheng Jin, Zhicai Li, Pu Jiao, Qiankun Sun, Zhenwei Wang, Mengdie Zhou, Mengke Xu, Hongwei Wang, Wenqing Shen, Yugang Ma
http…

First systematic experimental 2D mapping of linearly polarized $γ$-ray polarimetric distribution in relativistic Compton scattering
The interaction of photons with relativistic electrons constitutes a fundamental electromagnetic process whose polarization transfer mechanics remain incompletely characterized. We report the first systematic measurement of spatial polarization distribution for $γ$-rays generated via \SI{45}{\degree} slant inverse Compton scattering (ICS) between linearly polarized \SI{0.117}{\eV} photons and \SI{3.5}{\GeV} electrons, performing full 2D mapping of intensity, polarization angle (AOP), and degre…

Alignment and anisotropy of stresses in disordered granular media
Aashish K. Gupta, Christopher Ness, Sina Haeri
https://arxiv.org/abs/2506.06498 https://

Alignment and anisotropy of stresses in disordered granular media
Characterizing the degeneracy of local stress states is a central challenge in obtaining the complete statistical mechanics of disordered media. Here, we introduce a minimal force-balance model for isolated granular clusters to probe the structure of the stress space through principal stress orientation and stress anisotropy. We further show that when complemented by physically motivated pairwise constraints, the model produces predictions for the stress alignment in packings of repulsive hard …

Monolithic framework to simulate fluid-structure interaction problems using geometric volume-of-fluid method
Soham Prajapati (Department of Aerospace Engineering and Mechanics, University of Minnesota - Twin Cities, Minneapolis, Minnesota, USA), Ali Fakhreddine (Department of Aerospace Engineering and Mechanics, University of Minnesota - Twin Cities, Minneapolis, Minnesota, USA), Krishnan Mahesh (Department of Aerospace Engineering and Mechanics, University of Minnesota - Twin Cities, …

Monolithic framework to simulate fluid-structure interaction problems using geometric volume-of-fluid method
We develop a three-dimensional Eulerian framework to simulate fluid-structure interaction (FSI) problems on a fixed Cartesian grid using the geometric volume-of-fluid (VOF) method. The coupled problem involves incompressible flow and viscous hyperelastic solids. A VOF-based one-continuum formulation is used to describe the unified momentum conservation equations with incompressibility constraints that are solved using the finite volume method (FVM). In the geometric VOF interface-capturing (IC)…

This https://arxiv.org/abs/2411.13382 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Recitation tasks revamped? Students' perceptions of smartphone-based experimental and programming tasks in introductory mechanics
This exploratory field study investigates the integration of innovative forms of recitation tasks in a first-year introductory mechanics course, focusing on smartphone-based experimental tasks alongside programming and standard recitation tasks. Smartphones, combined with external sensor modules, serve as a gateway enabling students to conduct various low-cost and authentic physics experiments with first-hand data collection outside traditional lab settings. These tasks aim to enhance students'…

This https://arxiv.org/abs/2312.00871 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

The q-Schwarzian and Liouville gravity
We present a new holographic duality between q-Schwarzian quantum mechanics and Liouville gravity. The q-Schwarzian is a one parameter deformation of the Schwarzian, which is dual to JT gravity and describes the low energy sector of SYK. We show that the q-Schwarzian in turn is dual to sinh dilaton gravity. This one parameter deformation of JT gravity can be rewritten as Liouville gravity. We match the thermodynamics and classical two point function between q-Schwarzian and Liouville gravity. W…

This https://arxiv.org/abs/1810.06981 has been replaced.
link: https://scholar.google.com/scholar?q=a

How to (Un-) Quantum Mechanics
When compared to quantum mechanics, classical mechanics is often depicted in a specific metaphysical flavour: spatio-temporal realism or a Newtonian "background" is presented as an intrinsic fundamental classical presumption. However, the Hamiltonian formulation of classical analytical mechanics is based on abstract generalized coordinates and momenta: It is a mathematical rather than a philosophical framework. If the metaphysical assumptions ascribed to classical mechanics are dropped, then th…

[2025-06-10 Tue (UTC), 6 new articles found for cond-mat.stat-mech Statistical Mechanics]
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This https://arxiv.org/abs/2403.07537 has been replaced.
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Vortices and Factorization
We review applications of factorization methods to the problem of finding stationary point vortex patterns in two-dimensional fluid mechanics. Then we present a new class of patterns related to periodic analogs of Schrodinger operators from the ``even" bi-spectral family. We also show that patterns related to soliton solutions of the KdV hierarchy constitute complete solution of the problem for certain classes of vortex systems. Keywords: Point vortices in ideal fluid, Factorization of second…

This https://arxiv.org/abs/2409.17061 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Against (unitary) interpretation (of quantum mechanics): removing the metaphysical load
On 6 June 1925 Heisenberg arrived at Helgoland/Heligoland island to escape a fit of hay fever. He returned with a sketch of a strange theory of the micro-world of atoms, which we now call quantum mechanics. This e-print of ours attempts to present a look on that theory which tries to return to the original insight of Heisenberg, on what should be the essence of a theory of atomic realm: it must be a theory of the observable events, in which fundamentally unobservable quantities have no place. N…

SIFBench: An Extensive Benchmark for Fatigue Analysis
Tushar Gautam, Robert M. Kirby, Jacob Hochhalter, Shandian Zhe
https://arxiv.org/abs/2506.01173 https…

SIFBench: An Extensive Benchmark for Fatigue Analysis
Fatigue-induced crack growth is a leading cause of structural failure across critical industries such as aerospace, civil engineering, automotive, and energy. Accurate prediction of stress intensity factors (SIFs) -- the key parameters governing crack propagation in linear elastic fracture mechanics -- is essential for assessing fatigue life and ensuring structural integrity. While machine learning (ML) has shown great promise in SIF prediction, its advancement has been severely limited by the …

A continuum mechanics approach for the deformation of non-Euclidean origami generated by piecewise constant nematic director fields
Linjuan Wang, Fan Feng
https://arxiv.org/abs/2506.01309

A continuum mechanics approach for the deformation of non-Euclidean origami generated by piecewise constant nematic director fields
We merge classical origami concepts with active actuation by designing origami patterns whose panels undergo prescribed metric changes. These metric changes render the system non-Euclidean, inducing non-zero Gaussian curvature at the vertices after actuation. Such patterns can be realized by programming piecewise constant director fields in liquid crystal elastomer (LCE) sheets. In this work, we address the geometric design of both compatible reference director patterns and their corresponding …

Dependency of quantum time scales on symmetry
Fei Guo, Dmitrii Usanov, Eduardo B. Guedes, Mauro Fanciulli, Kaishu Kawaguchi, Ryo Mori, Takeshi Kondo, Arnaud Magrez, Michele Puppin, Hugo Dil
https://arxiv.org/abs/2506.01476

Dependency of quantum time scales on symmetry
Although used extensively in everyday life, time is one of the least understood quantities in physics, especially on the level of quantum mechanics. Here we use an experimental method based on spin- and angle-resolved photoemission spectroscopy from spin-degenerate dispersive states to determine the Eisenbud-Wigner-Smith (EWS) time delay of photoemission. This time scale of the quantum transition is measured for materials with different dimensionality and correlation strength. A direct link bet…

Eternalism and Everettian Quantum Mechanics
Matias Slavov
https://arxiv.org/abs/2505.22160 https://arxiv.org/pdf/2505.22160

Eternalism and Everettian Quantum Mechanics
This paper shall explore the conjunction of eternalism and Everettian quantum mechanics. It shall be argued that there is a strong analogy between these two views. In case there is an indefinite number of worlds and observers that are all equally real, there should be an indefinite number of local times which are all also equally real. Whereas Everettianism, specifically the diverging version, treats actuality indexically, relativistic eternalism treats tense indexically. All times exist analog…

This https://arxiv.org/abs/2502.10523 has been replaced.
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The Quantum Wave Function as a Complex Probability Distribution
This paper suggests an interpretation for the wave function, based on some elements of Nelson's stochastic mechanics, the time-symmetric laws of quantum theory and complex probabilities. Our main purpose is to demonstrate that the wave function and its complex conjugate can be interpreted as complex probability densities (or quasi-probability distributions) related to non-real forward and backward in time stochastic motion respectively. Those two quasi-Brownian motions serve as mathematical abs…

[2025-06-09 Mon (UTC), 3 new articles found for cond-mat.stat-mech Statistical Mechanics]
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This https://arxiv.org/abs/2503.04695 has been replaced.
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A linearly-implicit energy-momentum preserving scheme for geometrically nonlinear mechanics based on non-canonical Hamiltonian formulations
This work presents a novel formulation and numerical strategy for the simulation of geometrically nonlinear structures. First, a non-canonical Hamiltonian (Poisson) formulation is introduced by including the dynamics of the stress tensor. This framework is developed for von-Kármán nonlinearities in beams and plates, as well as geometrically nonlinear elasticity with Saint-Venant material behavior. In the case of plates, both negligible and non-negligible membrane inertia are considered. For t…

This https://arxiv.org/abs/2406.09670 has been replaced.
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Delayed phosphate release can highly improve energy efficiency of muscle contraction
While the power stroke of myosin and the release of inorganic phosphate (Pi) play crucial roles in transforming ATP's chemical energy into mechanical work across diverse biological systems, the exact temporal relationship between these events continues to be intensely debated. In this study, from a functional perspective, we computationally investigate the impact of Pi-release kinetics during the power stroke on muscle contraction dynamics. By implementing a mechanics model of the sarcomere uni…

Emergent Berezinskii-Kosterlitz-Thouless deconfinement in super-Coulombic plasmas
Ayush De, Leo Radzihovsky, Snir Gazit
https://arxiv.org/abs/2506.05461 ht…

Emergent Berezinskii-Kosterlitz-Thouless deconfinement in super-Coulombic plasmas
We study the statistical mechanics of two-dimensional "super-Coulombic" plasmas, namely, neutral plasmas with power-law interactions longer-ranged than Coulomb. To that end, we employ numerically exact large-scale Monte Carlo simulations. Contrary to naive energy-entropy arguments, we observe a charge confinement-deconfinement transition as a function of temperature. Remarkably, the transition lies in the Berezinskii-Kosterlitz-Thouless (BKT) universality class. Our results corroborate recent d…

Physical Observers and Quantum Reconstructions
Dorian Daimer, Susanne Still
https://arxiv.org/abs/2506.01561 https://arxiv.org/pdf/25…

Physical Observers and Quantum Reconstructions
There is a multitude of interpretations of quantum mechanics, but foundational principles are lacking. Relational quantum mechanics views the observer as a physical system, which allows for an unambiguous interpretation as all axioms are purely operational, describing the observer's information acquisition. The approach, however, is based on the premise that the observer retains only predictive information about the observed system. Here, we justify this premise using the following principle: P…

This https://arxiv.org/abs/2410.00854 has been replaced.
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Impermanent loss and loss-vs-rebalancing I: some statistical properties
There are two predominant metrics to assess the performance of automated market makers and their profitability for liquidity providers: 'impermanent loss' (IL) and 'loss-versus-rebalance' (LVR). In this short paper we shed light on the statistical aspects of both concepts and show that they are more similar than conventionally appreciated. Our analysis uses the properties of a random walk and some analytical properties of the statistical integral combined with the mechanics of a constant functi…

Thermodynamics and Statistical Equilibrium of Large-Scale Hydroelastic Wave Turbulence
Marlone Vernet, Eric Falcon
https://arxiv.org/abs/2506.03353 https:/…

Thermodynamics and Statistical Equilibrium of Large-Scale Hydroelastic Wave Turbulence
Understanding how statistical equilibrium can occur in out-of-equilibrium systems is of paramount interest, as it would enable the use of statistical mechanics tools to these systems. Here, we report the first experimental evidence of statistical equilibrium of the large scales of hydroelastic turbulent waves driven by small-scale random forcing. The wave field statistics at scales larger than the forcing scale, resolved in space and time, align well with the predictions of Rayleigh-Jeans equil…

Quantum Checkers: The Development and Analysis of a Quantum Combinatorial Game
Marien Raat, Luuk van den Nouweland, Matthias M\"uller-Brockhausen, Mike Preuss, Evert van Nieuwenburg
https://arxiv.org/abs/2506.05962

Quantum Checkers: The Development and Analysis of a Quantum Combinatorial Game
This paper develops and analyses a novel quantum combinatorial game: quantum checkers (codenamed Cheqqers). The concepts of superposition, entanglement, measurements and interference from quantum mechanics are integrated into the game of checkers by adding new types of legal moves. The addition of these new rules is done gradually by introducing several levels of `quantumness'. Quantum checkers provides a framework for interpolating between a known and solved classical game and a more complex q…

This https://arxiv.org/abs/2412.05402 has been replaced.
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Numerical schemes for a fully nonlinear coagulation-fragmentation model coming from wave kinetic theory
This article introduces a novel numerical approach, based on Finite Volume Techniques, for studying fully nonlinear coagulation-fragmentation models, where both the coagulation and fragmentation components of the collision operator are nonlinear. The models come from $3-$wave kinetic equations, a pivotal framework in wave turbulence theory. Despite the importance of wave turbulence theory in physics and mechanics, there have been very few numerical schemes for $3-$wave kinetic equations, in whi…

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond
Shreetam Dash, Prasanta K. Panigrahi
https://arxiv.org/abs/2505.11519

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond
In 1924, Satyendra Nath Bose's pioneering work laid the foundation for Bose-Einstein statistics, which describes particles with integral spins. His derivation of Planck's law for blackbody radiation bypassed classical assumptions, relying instead on the statistical mechanics of light quanta. Bose's methodology addressed limitations in existing theories, such as Einstein's dependence on classical concepts like Wien's displacement law and Bohr's correspondence principle. Further, his work undersc…

Canceling the elastic Poynting effect with geometry
M. Destrade, Y. Du, J. Blackwell, N. Colgan, V. Balbi
https://arxiv.org/abs/2506.03821 https://

Canceling the elastic Poynting effect with geometry
The Poynting effect is a paragon of nonlinear soft matter mechanics. It is the tendency (found in all incompressible, isotropic, hyperelastic solids) exhibited by a soft block to expand vertically when sheared horizontally. It can be observed whenever the length of the cuboid is at least four times its thickness. Here we show that the Poynting effect can be easily reversed and the cuboid can shrink vertically, simply by reducing this aspect ratio. In principle, this discovery means that for a g…

[2025-06-06 Fri (UTC), 10 new articles found for cond-mat.stat-mech Statistical Mechanics]
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This https://arxiv.org/abs/2406.02149 has been replaced.
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Von Neumann's 1927 Trilogy on the Foundations of Quantum Mechanics. Annotated Translations
English translation of John von Neumann's 1927 trilogy on the foundations of quantum mechanics with an introduction and detailed commentary.

This https://arxiv.org/abs/2502.12046 has been replaced.
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Adiabatic Gauge Potential as a Tool for Detecting Chaos in Classical Systems
The interplay between chaos and thermalization in weakly non-integrable systems is a rich and complex subject. Interest in this area is further motivated by a desire to develop a unified picture of chaos for both quantum and classical systems. In this work, we study the adiabatic gauge potential (AGP), an object typically studied in quantum mechanics that describes deformations of a quantum state under adiabatic variation of the Hamiltonian, in classical Fermi-Pasta-Ulam-Tsingou (FPUT) and Toda…

[2025-06-05 Thu (UTC), 4 new articles found for cond-mat.stat-mech Statistical Mechanics]
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This https://arxiv.org/abs/2502.08602 has been replaced.
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Stretching Response of a Polymer Chain with Deformable Bonds
The stretching response of polymer chains fundamentally determines the mechanical properties of polymer networks. In this Letter, we develop a statistical mechanics model that incorporates both bond stretching and bond angle deformation, enabling accurate predictions of chain behavior up to large forces. We further propose a semianalytical deformable freely rotating chain (dFRC) model, which represents the chain as a freely rotating chain with effective bond stretch and bond angle that depend o…

[2025-06-04 Wed (UTC), 5 new articles found for cond-mat.stat-mech Statistical Mechanics]
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On the Physical Untenability of the Standard Notion of Quantum State
Christian de Ronde
https://arxiv.org/abs/2505.23989 https://arxi…

On the Physical Untenability of the Standard Notion of Quantum State
The notion of quantum state plays a fundamental role within the Standard account of Quantum Mechanics (SQM) as established by Dirac and von Neumann during 1930s and up to the present. In this work we expose the deep inconsistencies that exist within the multiple definitions of the notion of quantum state that are provided within this axiomatic formulation. As we will argue, these different inconsistent definitions continue to be -- even today -- uncritically confused within the mainstream physi…

This https://arxiv.org/abs/2505.17502 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Demonstration of Quantum-Secure Communications in a Nuclear Reactor
Quantum key distribution (QKD), one of the latest cryptographic techniques, founded on the laws of quantum mechanics rather than mathematical complexity, promises for the first time unconditional secure remote communications. Integrating this technology into the next generation nuclear systems - designed for universal data collection and real-time sharing as well as cutting-edge instrumentation and increased dependency on digital technologies - could provide significant benefits enabling secure…

This https://arxiv.org/abs/2503.24120 has been replaced.
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Renormalized mechanics and stochastic thermodynamics of growing vesicles
Uncovering the rules governing the nonequilibrium dynamics of the membranes that define biological cells is of central importance to understanding the physics of living systems. We theoretically and computationally investigate the behavior of flexible quasispherical vesicles that exchange membrane constituents, internal volume, and heat with an external reservoir. The excess chemical potential and osmotic pressure difference imposed by the reservoir act as generalized thermodynamic driving forc…

Non-individuality and experience
Raoni Arroyo
https://arxiv.org/abs/2505.15627 https://arxiv.org/pdf/2505.15627

Non-individuality and experience
This chapter acknowledges a gap between the ``non-individuals'' interpretation of quantum mechanics and our world of experience, and begins to bridge it. Section 1 states the problem with Abner Shimony's ``Phenomenological principle''; section 2 briefly presents the interpretation with connection to standard quantum mechanics; section 3 presents the measurement problem in connection with the Phenomenological principle, the standard way out of it, and why the ``non-individuals'' interpretation o…

[2025-06-03 Tue (UTC), 8 new articles found for cond-mat.stat-mech Statistical Mechanics]
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A General Approach to the Shape Transition of Run-and-Tumble Particles: The 1D PDMP Framework for Invariant Measure Regularity
Leo Hahn
https://arxiv.org/abs/2506.02274

A General Approach to the Shape Transition of Run-and-Tumble Particles: The 1D PDMP Framework for Invariant Measure Regularity
Run-and-tumble particles (RTPs) have emerged as a paradigmatic example for studying nonequilibrium phenomena in statistical mechanics. The invariant measure of a wide class of RTPs subjected to a potential possesses a density, which is continuous when tumble rates are high and discontinuous when they are low. This key feature is known as shape transition. By comparison with the Boltzmann distribution characteristic of thermodynamic equilibrium, this constitutes a qualitative indicator of the re…

Nematic ordering in active fluids driven by substrate deformations: Mechanisms and patterning regimes
Varun Venkatesh, Amin Doostmohammadi
https://arxiv.org/abs/2505.24639

Nematic ordering in active fluids driven by substrate deformations: Mechanisms and patterning regimes
The interplay between active matter and its environment is central to understanding emergent behavior in biological and synthetic systems. Here, we show that coupling active nematic flows to small-amplitude deformations of a compliant substrate can fundamentally reorganize the system's dynamics. Using a model that combines active nematohydrodynamics with substrate mechanics, we find that contractile active nematics-normally disordered in flat geometries-undergo a sharp transition to long-range …

This https://arxiv.org/abs/2310.04310 has been replaced.
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Spreading of information on a network: a quantum view
This paper concerns the modeling of the spread of information through a complex, multi-layered network, where the information is transferred from an initial transmitter to a final receiver. The mathematical model is deduced within the framework of operatorial methods, according to the formal mathematical apparatus typical of quantum mechanics. Two different approaches are considered: one based on the ($H,ρ$)-induced dynamics and one on the Gorini--Kossakowski--Sudarshan--Lindblad (GKSL) equati…

[2025-06-02 Mon (UTC), 6 new articles found for cond-mat.stat-mech Statistical Mechanics]
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This https://arxiv.org/abs/2505.03551 has been replaced.
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From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime
While Liouville's theorem is first-order in time for the phase-space distribution itself, the relativistic mass-shell constraint $p^μp_μ= m^2$ is naively second-order in energy. We argue that it is reasonable to unify both energy branches within a single Hamiltonian by factorizing $(p^2 - m^2)$ in analogy with Dirac's approach in relativistic quantum mechanics. We show the resulting matrix-based Liouville equation remains first order and naturally yields a $4\times4$ matrix-valued probability…

[2025-05-30 Fri (UTC), 5 new articles found for cond-mat.stat-mech Statistical Mechanics]
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Self-consciousness and personal identity in quantum panprotopsychism
Rodolfo Gambini, Jorge Pullin
https://arxiv.org/abs/2505.11530 https://

Self-consciousness and personal identity in quantum panprotopsychism
In previous papers, we demonstrated that an ontology of quantum mechanics, described in terms of states and events with internal phenomenal aspects (a form of panprotopsychism), is well suited to explain consciousness. We showed that the combination problems of qualities, structures and subjects in panpsychism and panprotopsychism stem from implicit hypotheses based on classical physics regarding supervenience, which are not applicable at the quantum level. Within this view, consciousness arise…