1647 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 extends Iterated Graph Systems from the primitive to the reducible setting, establishing rigorous definitions and equivalent conditions for multifractality and multiscale-freeness in fractal graphs while proving that their corresponding spectra are finite and discrete.
This paper establishes that the Fourier dimension of imaginary Gaussian multiplicative chaos on the unit circle in the subcritical phase is almost surely , while also proving its failure to belong to a critical Sobolev space and demonstrating that its high-frequency coefficients converge to independent complex Gaussians, effectively behaving as white noise.
This paper investigates how black hole rotation influences proper infall times in Kerr spacetime compared to Schwarzschild spacetime by analyzing equatorial timelike geodesics between surfaces of equal circumferential radius and interpreting the resulting variations through the covariant formalism, specifically showing that differences in expansion and shear drive distinct focusing behaviors for prograde and retrograde orbits.
This paper extends Riemann's classical result on theta functions to irreducible singular curves by constructing a theta function on a compactification of the generalized Jacobian, which yields a universal section for line bundles of a specific degree over the singular curve.
This paper proves that deterministic motion in dissipative systems arises as a strict geometric attractor of contact flow rather than a statistical approximation, demonstrating through the Contact Locking Theorem that exponential probability amplification is precisely counterbalanced by stiffness decay to force macroscopic-microscopic coupling to vanish, a mechanism validated by the damped-driven Duffing oscillator.
This paper investigates a one-dimensional swarmalator model with asymmetric time delay, revealing that the delay's internal structure fundamentally reshapes the collective phase diagram by systematically expanding the active state and establishing that the delay's form, rather than just its magnitude, is a decisive factor in emergent swarmalator behavior.
This paper investigates how classical polymerization and generalized uncertainty principle (GUP) deformations alter the dynamics of the Bianchi IX Mixmaster universe, revealing that while GUP corrections enhance chaos by shortening Kasner epochs, polymer corrections suppress it by prolonging them, with combined effects producing an additive shift that modulates the strength of early-universe chaos.
This paper proves that the AKLT models on hexagonal and Lieb lattices satisfy the local topological quantum order condition by establishing the indistinguishability of finite-volume ground states from a unique infinite-volume state via polymer representation analysis, thereby demonstrating the stability of their spectral gaps under small perturbations.
This paper presents a conjectural characterization of the equivariant costalk of the intersection cohomology complex of the Coulomb branch of a quiver gauge theory at a torus fixed point in terms of a geometric Satake correspondence for Kac-Moody settings, with a proof sketch provided for the affine type A case.
This paper establishes the large- asymptotic expansion at all orders for the partition function of real -ensembles in the high-temperature regime where is fixed, utilizing the loop equations method and novel analytical estimates for the thermal equilibrium measure and its associated master operator.