Untangling Knots with State Integrals
New research explores a powerful mathematical technique for calculating knot invariants and gaining insights into their asymptotic behavior.
Science
Spinning Stars: A New Code for Realistic Neutron Star Simulations
Researchers have developed a new computational suite to model the complex interiors and dynamics of rapidly rotating neutron stars with unprecedented accuracy.
Streaming 3D Worlds: A New Codec for Gaussian Splatting
![The research demonstrates a performance trade-off, assessed via an R-D curve on the Bicycle scene from the MipNeRF360 dataset, wherein varying [latex]\lambda_{ssim}[/latex] values-ranging from 0.1 to 0.4-influences the method’s results when benchmarked against PCGS and GoDE.](https://arxiv.org/html/2601.04348v1/images/R-D_Curve.png)
Researchers have developed a progressive codec that leverages spatial context and residual quantization to enable efficient streaming of high-quality 3D Gaussian Splatting scenes.
Stealth Attacks on AI’s Digital Watermarks
New research demonstrates how to subtly dismantle techniques used to identify the origins of large language model outputs, potentially undermining intellectual property protections.
Fortifying Language Models Against Rogue Prompts
A new approach to defending large language models from adversarial attacks prioritizes efficiency and reliability for real-world deployment.
Cosmic Strings Snap: Early Universe Defects Face Their Breaking Point
![The study demonstrates that gravitational wave spectra from metastable cosmic string networks-shaped by parameters including [latex]\kappa = 485[/latex], [latex]G_N\mu = 10^{-7}[/latex], and [latex]\Gamma_g = 50[/latex]-exhibit distinct characteristics dependent on network formation and early-time breaking mechanisms, with finite-temperature restoration and inflationary scenarios yielding spectra that either enhance decay due to thermal effects or require significantly larger κ values-approximately 2000-to align with observed pulsar timing array signals, as indicated by the location of [latex]f_{\rm low}[/latex] defined in Eq. (48).](https://arxiv.org/html/2601.04320v1/x11.png)
New research reveals how metastable cosmic strings-topological defects formed in the early universe-fracture due to finite temperature effects and quantum fluctuations.
Taming Loopy Belief Propagation with Geometric Principles
A new framework stabilizes inference in complex graphical models by leveraging concepts from descent theory and holonomy to address inconsistencies arising from cycles.
Unlocking Schur Positivity: A New Proof for a Long-Standing Conjecture
Researchers have confirmed a key hypothesis concerning the non-negativity of certain polynomial coefficients, resolving a problem that has challenged mathematicians for years.
Simulating Nuclear Decay: A New Approach to Gamow-Teller Transitions
![Calculations of [latex]GT^{-} [/latex] transition strength for 44Ca, comparing results from Particle-Core Model (PGCM) calculations utilizing both pure spherical and Generator Coordinate Method (GCM) wave functions against shell-model predictions, demonstrate the influence of nuclear structure on the distribution of transition strengths to [latex]1^{+} [/latex] states in 44Sc.](https://arxiv.org/html/2601.05058v1/x3.png)
Researchers have refined a computational method to model the complex processes governing nuclear beta decay, offering improved accuracy and efficiency.
Spin Chain Chaos: From Order to Scars to Full Turbulence
![In classical spin systems, the emergence of many-body chaos unfolds from initially ordered states containing disordered regions-analogous to low-temperature excitations-where scattered quasiparticles seed secondary wavefronts of chaos within a primary spatiotemporal lightcone, transitioning the system from a scarred regime to fully developed chaotic behavior at later times, as quantified by the decorrelator [latex]\text{Eq.3}[/latex].](https://arxiv.org/html/2601.05238v1/x1.png)
New research reveals how complex chaotic behavior arises in classical spin chains as interactions intensify and wave scattering becomes dominant.