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 demonstrates that utilizing complex time steps along specific paths in the complex plane expands stability regions for stiff problems, offering unique optimality for the Schrödinger equation and enhanced efficiency for real-valued stiff systems when combined with Projective Integration.
This paper proposes a dilation-based geometric framework that distinguishes between implementation-dependent and intrinsic quantum channel complexities by subtracting environmental contributions from joint unitary realizations, while establishing coherence-based lower bounds and time-scaling properties for both unitary and noise complexities in various dynamical regimes.
This paper demonstrates that introducing tunable non-reciprocity into a generalized lossy waveguide beam splitter enables the realization of higher-order exceptional points and the analysis of NOON-state evolution, offering a promising route for advanced sensing in non-Hermitian quantum systems without requiring strict dissipation.
This paper establishes large deviation principles for random walks in strongly mixing environments, demonstrating that the quenched and annealed rate functions share a zero-set of either a singleton or a line segment and coincide on compact sets under conditions of sufficiently low disorder.
This paper determines and categorifies the Grothendieck rings of fusion categories containing a nonpointed Tambara–Yamagami subcategory and exactly one additional simple object, identifying three specific cases based on the coefficient and providing explicit realizations for each.
This paper investigates a system of nonlinear functional differential equations to classify smooth Lie group families of smooth racks on manifolds, proposing a practical ansatz that yields new examples and establishes the uniqueness of the Bloch sphere as a Lie quandle structure.
This paper establishes an operator-algebraic fiber bundle framework for fault tolerance, demonstrates that GKP codes embed smoothly into Grassmannians with flat connections, and identifies specific CCZ-type magic states arising from code space projections of Gaussian states associated with Jacobians.
This paper provides a comprehensive review of the black hole information problem by systematically establishing the necessary foundations in general relativity and quantum field theory in curved spacetime to demonstrate how the semiclassical prediction of black hole evaporation leads to information loss, thereby formulating the problem and analyzing the underlying assumptions that necessitate a resolution.
This paper establishes a complete phase diagram for the minimization of the functional , revealing a unique "hexagonal–square–rectangular" phase transition governed by density and competition parameters that resolves Bétermin's conjecture by proving the absence of rhombic lattice minimizers and correcting the predicted transition type.
This paper establishes that the log-Sobolev inequality holds for two-dimensional Wilson lattice gauge theory at any fixed inverse coupling , with a constant that depends on and but remains uniform across all lattice volumes, utilizing a two-scale disintegration argument in the proof.