Tootfinder

AI Darwin Awards
Honouring Those Who Asked "Can We?" Without Ever Asking "Should We?"
Named after Charles Darwin's theory of natural selection, the original Darwin Awards celebrated those who "improved the gene pool by removing themselves from it" through spectacularly stupid acts. Well, guess what? Humans have evolved! We're now so advanced that we've outsourced our poor decision-making to machines. […]
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AI Darwin Awards 2025 - Celebrating Spectacularly Bad AI Decisions
Honouring those who use artificial intelligence in spectacularly reckless ways. Submit nominations for the most catastrophically ill-advised AI deployments of 2025.

On Chaos in QFT
Jacob Sonnenschein, Nadav Shrayer
https://arxiv.org/abs/2506.10784 https://arxiv.org/pdf/2506.10784

On Chaos in QFT
In this note we explore the chaotic behavior of non-integrable QFTs and compare them to integrable ones. We choose as prototypes the double sine-Gordon and the sine-Gordon models. We analyze their discrete spectrum determined by a truncation method. We examine the map of the corresponding energy eigenvalues to the eigenvalues of the random matrix theory (RMT) Gaussian orthogonal ensemble (GOE). This is done by computing the following properties: (a) The distribution of the adjacent spacings and…

Krylov exponents and power spectra for maximal quantum chaos: an EFT approach
Saskia Demulder, Maria Knysh, Andrew Rolph
https://arxiv.org/abs/2508.05444 https://

Krylov exponents and power spectra for maximal quantum chaos: an EFT approach
We examine the effective field theory (EFT) of maximal chaos through the lens of Krylov complexity and the Universal Operator Growth Hypothesis. We test the relationship between two measures of quantum chaos: out-of-time-ordered correlators (OTOCs) and Krylov complexity. In the EFT, a shift symmetry of the hydrodynamic modes enforces the maximal Lyapunov exponent in OTOCs, $λ_L = 2πT$, while simultaneously constraining thermal two-point autocorrelators. We solve these constraints on the autoc…

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 …

Solitons, chaos, and quantum phenomena: a deterministic approach to the Schr\"odinger equation
Dami\`a Gomila
https://arxiv.org/abs/2507.22868 https://

Solitons, chaos, and quantum phenomena: a deterministic approach to the Schrödinger equation
We show that the Schrödinger equation describes the ensemble mean dynamics of solitons in a Galilean invariant field theory where we interpret solitons as particles. On a zero background, solitons move classically, following Newton`s second law, however, on a non-zero amplitude chaotic background, their momentum and position fluctuate fulfilling an exact uncertainty relation, which give rise to the emergence of quantum phenomena. The Schrodinger equation for the ensemble of solitons is obtaine…

Transformers Beyond Order: A Chaos-Markov-Gaussian Framework for Short-Term Sentiment Forecasting of Any Financial OHLC timeseries Data
Arif Pathan
https://arxiv.org/abs/2506.17244

Transformers Beyond Order: A Chaos-Markov-Gaussian Framework for Short-Term Sentiment Forecasting of Any Financial OHLC timeseries Data
Short-term sentiment forecasting in financial markets (e.g., stocks, indices) is challenging due to volatility, non-linearity, and noise in OHLC (Open, High, Low, Close) data. This paper introduces a novel CMG (Chaos-Markov-Gaussian) framework that integrates chaos theory, Markov property, and Gaussian processes to improve prediction accuracy. Chaos theory captures nonlinear dynamics; the Markov chain models regime shifts; Gaussian processes add probabilistic reasoning. We enhance the framework…

Quantum thermalization and the route to ergodicity
Amichay Vardi, Doron Cohen
https://arxiv.org/abs/2508.00949 https://arxiv.org/pdf/2508.00949

Quantum thermalization and the route to ergodicity
We consider a minimal model for quantum thermalization of coupled chaotic subsystems. The route towards ergodicity is explored as a function of the coupling strength. The results are contrasted with the predictions of standard Random Matrix Theory (RMT) and the Eigenstates Thermalization Hypothesis (ETH). We highlight a coupling regime of disparity between the spectral statistics that indicates chaos, and ergodicity measures that indicate lack of ETH thermalization. The analysis involves a revi…

High-performance neuromorphic computing architecture of brain
Jinxuan Ma, Wanlin Guo
https://arxiv.org/abs/2508.03191 https://arxiv.org/pdf/2508.03191

High-performance neuromorphic computing architecture of brain
Artificial intelligence can outperform humans in specific tasks but consumes substantial energy. How the human brain can work at just 20 watts with complex cognitive intelligence? Here we decode the fundamental information strategy unit of brain, neural sphere, which agglomerates neurons into sphere to achieve energy-efficient and exhibits many ultra-long period or random electrophysiological activities. Chaos dynamics and fractal theory demonstrated the mathematical principle of neural spheres…

Non-exchangeable mean-field theory for adaptive weights: propagation of chaos and graphon sampling lemma
Datong Zhou
https://arxiv.org/abs/2506.13587 https…

Non-exchangeable mean-field theory for adaptive weights: propagation of chaos and graphon sampling lemma
We develop a mean-field theory for large, non-exchangeable particle (agent) systems where the states and interaction weights co-evolve in a coupled system of SDEs. A first main result is a generalization of the propagation of chaos. The weight adaptation in the SDEs makes the classical approach of using a static probability space as the continuum limit for the agent labels inadequate. We address this by introducing a label space endowed with a filtration that captures the stochasticity. While t…

Nonperturbative quantum field theory for pseudo-Goldstone modes, slow-Goldstone modes, and their quantum chaos
Fadi Sun, Jinwu Ye
https://arxiv.org/abs/2508.14491 https://

Nonperturbative quantum field theory for pseudo-Goldstone modes, slow-Goldstone modes, and their quantum chaos
In this work, we develop a novel form of non-perturbative theory to identify a light pseudo-Goldstone mode with a small mass, as well as a new type of Goldstone mode with a tiny slope (termed the slow-Goldstone mode), which may not be obtained via traditional perturbative methods. We demonstrate our formalism in the context of superfluids formed by Rashba spin-orbit coupled spinor bosons in a square lattice weakly interacting with a spin-anisotropic interaction. The experimental detections of t…

Replaced article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/2]:
- Krylov Complexity as a Probe for Chaos
Mohsen Alishahiha, Souvik Banerjee, Mohammad Javad Vasli

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.

Propagation of Chaos for Singular Interactions via Regular Drivers
Qian Qi
https://arxiv.org/abs/2507.14981 https://arxiv.org/pdf/250…

Propagation of Chaos for Singular Interactions via Regular Drivers
We introduce a framework to prove propagation of chaos for interacting particle systems with singular, density-dependent interactions, a classical challenge in mean-field theory. Our approach is to define the dynamics implicitly via a regular driver function. This regular driver is engineered to generate a singular effective interaction, yet its underlying regularity provides the necessary analytical control. Our main result establishes propagation of chaos under a key dissipation condition. Th…

Chaos dynamics of charged particles near Gibbons-Maeda-Garfinkle-Horowitz-Strominger black holes
Zhen-Meng Xu, Da-Zhu Ma, Kai Li
https://arxiv.org/abs/2507.18879 https://…

Chaos dynamics of charged particles near Gibbons-Maeda-Garfinkle-Horowitz-Strominger black holes
The Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) dilatonic black hole, a key solution in low-energy string theory, exhibits previously unexplored chaotic dynamics for charged test particles under electromagnetic influence. While characterizing such chaos necessitates high-precision numerical solutions, our prior research confirms the explicit symplectic algorithm as the optimal numerical integration tool for strongly curved gravitational celestial systems. Leveraging the Hamiltonian form…

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 Phases of Chaos
Tarek Anous, Diego M. Hofman
https://arxiv.org/abs/2506.20542 https://arxiv.org/pdf/2506.20542

The Phases of Chaos
We develop a novel physical picture to understand certain universal properties of the GUE matrix model which are typically ascribed to quantum chaos, i.e. the ramp and the plateau. We argue that these features should instead be associated with a pattern of spontaneous (or weak explicit) symmetry breaking. In this language, the GUE matrix model corresponds to an effective theory that describes the symmetry-broken phase, and where the Hermitian matrix of the GUE should be understood as a massive …