1694 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 establishes the self-adjoint realization and a boundary resolvent formula for Stark Hamiltonians with -interactions supported on compact Lipschitz hypersurfaces, demonstrating that the essential spectrum remains regardless of the interaction strength due to the compactness of the resolvent difference.
This paper introduces an index-based tensorial framework that leverages the additivity of weights to provide a practical method for computing charge eigenvalues of arbitrary tensor representations in unitary gauge groups, with explicit applications demonstrated for SU(2), SU(3), and SU(5).
This paper presents a consistent kinetic modeling and discretization strategy using a double-distribution quasi-equilibrium approach that enables accurate, stable, and Galilean-invariant simulations of compressible flows across all Prandtl numbers and specific heat ratios, successfully recovering Navier-Stokes-Fourier physics for both moderate supersonic speeds and complex discontinuities.
This paper establishes that the Fourier coefficients of critical Gaussian multiplicative chaos on the unit interval decay faster than in probability for any , thereby extending recent work by Garban and Vargas.
This paper demonstrates that universal tomographic measurements induce decoherence which transforms arbitrary quasiprobability distributions into positive ones, thereby modeling the emergence of classicality and showing that the timescale for this process decreases as the Hilbert-space dimension increases.
This paper proposes an extension of standard quantum mechanics where Newtonian time is replaced by a stochastic "quantum clock," demonstrating that this substitution leads to a generalized evolution equation for the density matrix that recovers the von Neumann equation at the leading order while introducing higher-order corrections, including Lindblad-type terms, which are constrained by atomic clock precision limits.
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.