3190 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 proves that the free energy of the Ising model in a magnetic field for dimensions satisfies no algebraic differential equation at almost all field values, thereby ruling out Onsager-type closed-form solutions due to a geometric obstruction involving droplet scaling and integer band constraints.
This paper provides an elementary proof demonstrating that for a locally constant function on a topologically mixing subshift of finite type, the equilibrium measures converge as the temperature approaches zero, with the resulting limit measure assigning algebraic numbers to every cylinder.
This paper proves that limit-periodic Jacobi matrices in the weak exponential class possess purely absolutely continuous spectra when the parameter is sufficiently large, achieved by establishing spectral homogeneity, transferring reflectionlessness from periodic approximants, and applying a theorem by Poltoratski and Remling to exclude singular spectrum.
This paper introduces Conformalized Physics-Informed Weak Regression (PIWR), a high-order, derivative-free method for estimating epidemic model parameters that achieves significantly higher accuracy and speed than existing neural network approaches while providing rigorous, distribution-free uncertainty quantification via split conformal prediction.
This paper analyzes the KdV-ghost system arising from BRST topological field theory by establishing its symmetries, proving an isospectral theorem for a Grassmann-valued Lax pair, and constructing a nilpotent Darboux transformation that recursively generates new solutions and interprets the ghost sector as tangent directions to soliton phases.
This paper develops a direct, intrinsic theory of strain-gradient special Cosserat rods based on the principle of virtual work, deriving governing equations, constitutive laws, and bifurcation properties without relying on a three-dimensional parent material.
This paper constructs an infinite set of exact, gauge-invariant Dirac observables for Gowdy cosmologies that remain regular at the big bang singularity and systematically connect the full nonlinear gravitational dynamics to a simpler Carroll-type gravity theory through an anti-Newtonian expansion.
This paper establishes an operator algebraic framework for generalized Cardano polynomials by linking their structure to the spectral properties of circular operators, thereby enabling a quantum information-theoretic formulation of the Cardano method and the construction of Cardano-generated POVMs.
This paper establishes the first superdiffusive invariance principle for the two-dimensional Asymmetric Simple Exclusion Process at criticality, proving that density fluctuations converge to a conservative stochastic heat equation under anisotropic scaling with logarithmic corrections, while also deriving the exact prefactor for bulk diffusivity divergence and a superdiffusive central limit theorem for second-class particles.
This paper establishes a correspondence between the existence of smooth strictly calibrated solutions to a rank-four deformed Hermitian–Yang–Mills equation on and the stability conditions of an associated three-block quiver chain, proving that such solutions exist if and only if the defining linear maps satisfy specific invertibility and non-degeneracy criteria.