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 investigates a generalized fractional Rabi model using Caputo derivatives to demonstrate how fractional temporal nonlocality induces controllable damping and dephasing in two-level quantum systems, offering new experimental signatures and pathways for exploring memory effects in materials like graphene and topological chains.
This paper introduces a generalization of a non-stationary difference equation linked to the affine Laumon space, conjecturing that its solutions correspond to affine Laumon partition functions and verifying this connection by demonstrating that the equation reduces to the Fuji-Suzuki-Tsuda system in the four-dimensional limit.
This paper establishes a topological classification of non-orientable Weyl semimetals using twisted (co)homology groups and exact sequences, thereby providing a coordinate-independent explanation for charge cancellation and predicting novel phenomena across non-Hermitian and inversion-symmetric systems.
This paper proposes a universal extension of the Smarr formula for black hole thermodynamics by promoting all dimensionful coupling constants to dynamical variables via auxiliary fields, thereby resolving inconsistencies in standard formulations through the inclusion of their associated conjugate potentials.
This paper establishes a universal geometric framework linking the synchronized multivaluedness observed in black hole phase transitions to a three-sheeted covering structure arising from two non-degenerate critical points in the temperature function, thereby providing a rigorous classification scheme and a unified perspective on black hole thermodynamics and dynamics.
This paper proposes the Energy-Projection Fourier Neural Operator (EP-FNO), a structure-informed architecture that integrates invariant projection with residual FNO updates to significantly enhance long-time stability and accuracy in predicting parametric Hamiltonian PDEs by preserving conserved quantities and reducing phase errors.
This paper derives how noninertial motion, characterized by proper acceleration, jerk, and higher-order geometric invariants, induces unique nonlinear amplitude and phase modifications in Dirac spinor fields that distinguish them from scalar fields through observable spin-dependent dynamic Doppler signatures.
This paper establishes a unified bulk-first framework deriving both ordinary and generalized Schwarzian dynamics from two-dimensional BF gravity via Drinfeld-Sokolov reductions, revealing how higher-rank sl(3,R) theories governed by Wilczynski invariants naturally link flat BF connections to projective geometry, Casimir charges, and boundary thermodynamics.
This paper establishes a generalized, substrate-independent formal definition of assembly spaces and indices while introducing efficient grammar-based algorithms to approximate these metrics, thereby providing a unified framework to advance the detection of life signatures across chemistry, biology, and complexity science.
This paper applies Lie symmetry analysis and conservation-law theory to the Jaynes-Cummings model, revealing new invariant solutions involving Heun polynomials and deriving a hierarchy of conservation laws that link atomic purity, coherence, and entanglement dynamics to the system's symmetry structure.