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 utilizes the Wigner-Vlasov formalism to demonstrate that the probability current of the Pauli equation decomposes into spin-component-specific fluxes, leading to a new system of Hamilton-Jacobi and motion equations that are applied to analyze quantum kinematics in a uniform magnetic field with an asymmetric quadratic potential.
This paper presents a first direct regularized construction of the unprojected sectors of the Type IIB Superstring torus vacuum by developing sector-resolved modular integrals using an -prescription and -regularization framework, which is subsequently cross-checked via Lorentzian-inversion reconstruction.
This paper introduces Quantum Computing Algebra (QCA), a real geometric algebra framework with a split-signature construction that enables the direct translation of the Dirac formalism into efficient computational implementations using GAALOP, demonstrating practical applications in quantum gate representation and quantum game theory.
This paper demonstrates that within an optimization-driven framework for linearly elastic solids, minimizing the work of external loads causes initially volumetric growth to concentrate into singular surface or interface distributions, thereby providing a variational mechanism for the selection of surface growth over volumetric growth.
This paper provides rigorous counterexamples demonstrating that the wave operators for one-dimensional Schrödinger operators with bounded, compactly supported potentials are unbounded on and in generic cases and specific exceptional cases, thereby completing the characterization of their boundedness.
This paper derives an exact and explicit formula for the average entanglement entropy of the Bogoliubov-Kubo-Mori random state ensemble by utilizing properties of its normalization constant, thereby establishing a framework for calculating higher-order cumulants.
This paper proposes an online spectral deflation strategy that accelerates the solution of parameter-dependent, state-constrained optimal control problems by reusing a single full-domain reference eigenbasis to precondition Krylov subspace solvers on varying inactive sets, achieving significant reductions in iteration counts and wall time across diverse PDE benchmarks.
This paper derives explicit formulae for the number of regular even-valent graphs with fixed minimal embedding genus (specifically for ) and varying valence and vertex counts, extending previous results for genus 0 and 1 while also providing asymptotic analysis and a structural conjecture for higher genera.
This paper investigates how nonsymplectic congruence transformations, exemplified by Bopp's shift in noncommutative phase space, preserve the Fisher-Rao distance of Gaussian states while altering their entanglement, and proposes a photocurrent-based gedankenexperiment to detect these effects on state distinguishability.
This paper employs macroscopic fluctuation theory to derive exact typical charge probability distributions for stochastic charged cellular automata, successfully capturing the anomalous fluctuations arising from the coexistence of normal and convective diffusion in these linearly degenerate systems.