2563 papers
Mathematical physics sits at the fascinating intersection where abstract equations meet the fundamental laws of our universe. This field uses rigorous mathematical tools to model everything from the behavior of subatomic particles to the curvature of spacetime, turning complex theories into testable predictions. It is the language through which physicists describe reality, bridging the gap between pure mathematics and physical observation.
On Gist.Science, we process every new preprint published in this category on arXiv to make these dense studies accessible to everyone. Whether you are a specialist or a curious reader, you will find both plain-language overviews and detailed technical summaries for each paper. Below are the latest mathematical physics papers from arXiv, curated to help you explore the cutting edge of theoretical science.
This study utilizes direct numerical simulations and derives an exact conservation law to investigate how flow anisotropy in wall-bounded turbulence influences the scale-wise energetics of settling inertial particles, revealing how particle inertia and settling preserve large-scale anisotropy into the isotropic range and informing future continuum models.
This paper investigates the Unruh effect for a quantum detector in a superposition of circular trajectories in (3+1) dimensions, revealing that while vertically stacked paths yield minor deviations from the standard thermal response, a superposition involving a static central point significantly reduces the effective temperature and increases energy gap dependence, with potential applications in ultracold atom systems.
This paper investigates a time-dependent non-Hermitian extension of the Schütte-Da Providência model by employing a Dyson map to derive a Hermitian counterpart, revealing that the resulting collective RPA dynamics behave as time-dependent harmonic oscillators driven by scaling and squeezing parameters that induce nonadiabatic transitions and parametric resonance.
This paper establishes that positive operator-valued measures on trees can be characterized by intrinsic local coordinates derived from cylinder value splittings, which simultaneously reconstruct the measure, generate its minimal Naimark dilation, and facilitate a martingale calculus on range spaces that reveals structural properties like extremality, domination, and the projection-valued case through quadratic variation.
This paper establishes that the top singular value of a sum of products of independent Gaussian random matrices converges to the partition function of a random energy model in the large-dimensional limit, providing non-asymptotic bounds to quantify this approximation.
This paper presents a basis-independent Lie-Jordan geometric formulation of finite-dimensional open quantum dynamics that isolates a universal trilinear dissipative map, defined by the algebraic structure tensors of the Hilbert-Schmidt operator space, to separate the universal superoperator structure from model-dependent physical parameters while ensuring trace and Hermiticity preservation.
This paper challenges the premise of quantum advantage in random circuit sampling by proposing an efficient classical "frozen-tree" algorithm that generates statistically indistinguishable samples in linear time, arguing that the true computational hardness lies in identifying a specific circuit realization rather than sampling from the underlying Dirichlet distribution.
This paper establishes a unified diagrammatic framework to characterize Brownian ensembles for orthogonal and symplectic random matrices, computing polynomial averages and constructing an invariant interpolation for the sector to advance understanding in quantum chaos, transport, and information scrambling.
This paper examines the spectacular development of group theory over the twentieth century, highlighting its pivotal role in particle physics while also exploring its significant applications in statistical physics and theoretical biology.
This paper presents a fully Lorentz covariant geometric formulation for elastic binary collisions of relativistic spinning particles, demonstrating that the conservation laws reduce to a quadratic equation on a circle which yields a complete classification of postcollisional states with at most eight possible solutions.