3366 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 paper introduces a geometric framework called Poisson -structures, which enables the exact algorithmic integration of Hamiltonian and Jacobi systems by utilizing triangular closure relations among functions whose vector fields generate a solvable structure, even in the absence of complete sets of conserved quantities.
This paper presents strong numerical evidence for the existence of periodic, stationary, axisymmetric solutions containing multiple counter-rotating black hole horizons without conical singularities (struts), demonstrating that such configurations can be constructed for any inter-horizon distance, unlike their static counterparts which face rotational constraints.
This paper demonstrates that the deviation of arterial branching exponents from Murray's universal cubic law arises from the metabolic cost of vessel walls, which introduces an inhomogeneous cost function that necessitates a scale-dependent exponent bounded between 2.90 and 2.94, thereby attributing the remaining empirical discrepancy to pulsatile wave dynamics rather than model failure.
This paper investigates random walks and diffusion limits on fractal graphs generated by Edge Iterated Graph Systems, establishing connections between various dimensions, proving the convergence of rescaled random walks to limiting diffusions, unifying heat-kernel estimates across different regimes, and resolving an open problem regarding the quenched resistance exponent for the DHL percolation cluster.
This paper investigates the decay behaviors of three imaginarity metrics for single-qubit and two-qubit states under various quantum channels, while also generalizing concepts of maximal imaginary states and imaginary/de-imaginary powers to the two-qubit regime.
This paper demonstrates that the Alicki-Lindblad-Fannes (ALF) dynamical entropy, derived from multi-time correlation functions in a collisional model with a classical spin chain environment, serves as a quantitative measure linking the statistical properties of the environment to the activation and super-activation of non-Markovian memory effects in open quantum systems.
This paper resolves the long-standing questions of uniqueness and weak Gibbsianity for gauge-invariant quasi-free fermionic states by proving that, under specific conditions on their momentum-space two-point functions, these states uniquely maximize entropy among translation-invariant states and are indeed weak Gibbs states, with both properties derived directly from thermodynamic formalism.
This paper proposes an extension of the Alicki-Lindblad-Fannes dynamical entropy to open quantum systems as a measure of information back-flow from the environment, deriving an exact expression for a qubit coupled to a classical spin chain that demonstrates how such information flow can lead to vanishing entropy production.
This paper establishes a general existence theorem for null Force-Free Electrodynamics solutions by proving that any null geodesic congruence admits a transverse basis rotation satisfying the equipartition condition and that shear-free congruences guarantee the existence of field sheet foliations, thereby providing a coordinate-independent geometric criterion for such solutions illustrated through explicit examples in various spacetimes.
This paper establishes a first-principles theory of vacuum Wannier functions that unifies tight-binding and nearly-free-electron models to enable predictive photoemission calculations without semiempirical potentials by constructing dense k-space scattering states at solid-vacuum interfaces.