Untangling Disorder: The Geometry of Spin Glasses
A new review explores the complex energy landscapes of spin glasses and the algorithms used to navigate them, revealing deep connections to the broader field of high-dimensional statistics.
Science
Graphene’s Quantum Leap: Hall Effects at Millitesla Fields
Researchers have demonstrated a graphene-based heterostructure capable of exhibiting both integer and fractional quantum Hall effects at unprecedentedly low magnetic fields.
Beyond Born-Huang: Reframing Electron Transfer with Phase Space
A new approach to modeling electron transfer processes leverages phase space electronic structure to provide a more accurate depiction of molecular interactions.
Beyond Einstein: Mapping the Boundaries of Weyl Gravity
A new analysis clarifies the Hamiltonian structure and conserved charges of Weyl-transverse gravity, revealing key differences from General Relativity and potential insights into black hole thermodynamics.
Beyond the Standard Model: Hunting Higgs Decays for New Physics
New calculations reveal how the dimuon decay rates of multiple Higgs bosons can vary within an extended theoretical framework, offering potential avenues for discovery at the Large Hadron Collider.
Unlocking Prime Secrets: A New Framework for Number Distribution
![The study reveals a complex relationship between recursive parameters, demonstrating that [latex]r_n(0.5 + 14.135i)[/latex] at iteration 110, alongside its minimum [latex]r_{p_{min}}[/latex] and maximum [latex]r_{p_{max}}[/latex] values - represented in blue and magenta respectively - fluctuate around a mean [latex]\langle r_p \rangle[/latex] (black), with prime number locations highlighted to suggest an underlying mathematical structure governing the recursion.](https://arxiv.org/html/2601.16193v1/r_n.png)
A novel density-based approach offers fresh perspectives on the enigmatic patterns governing prime numbers and the gaps between them.
Taming Infinity: Heat Equations on Quantum Spaces
New research extends a key theorem governing the behavior of heat equations to the strange and complex world of noncommutative geometry.
De Sitter Space and the Seeds of Primordial Black Holes
New research explores how thermal fluctuations in de Sitter space can amplify curvature perturbations, potentially leading to the formation of primordial black holes and revealing a surprising link to holographic duality.
Diamond Nanoprobes Capture Light’s Fleeting Signals
A new sensor leveraging the unique properties of diamond nanoprobes with nitrogen-vacancy centers allows for real-time mapping of electric fields with unprecedented spatial and temporal resolution.
Taming Quantum Fields: A New Approach to Regularization
Researchers are exploring the use of non-Hermitian operators to potentially resolve long-standing issues with infinities in quantum field theory calculations.