🔢 Category

math-ph

2593 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.

🔢 mathematics

Full-State and Reduced-Moment Encodings: A Representation-Level View of Equilibrium Quantum Many-Body Theory

This paper proposes a unified representation-level framework for equilibrium quantum many-body theory that characterizes different methods as encoders mapping admissible states to specific variables, thereby clarifying the conditions for exact reconstruction and unifying concepts like functionals, kernels, and quantum embedding through the analysis of state fibers and task-relevant information.

Nan Sheng2026-06-10
🔬 condensed matter

Derivation of renormalized Hartree-Fock-Bogoliubov and quantum Boltzmann equations in an interacting Bose gas

This paper extends the rigorous derivation of quantum Boltzmann equations near a Bose-Einstein condensate by employing Bogoliubov rotations and Weyl transformations to derive renormalized Hartree-Fock-Bogoliubov equations, thereby significantly improving error bounds and extending the time of validity to t∼(log⁡N)2t\sim (\log N)^2.

Thomas Chen, Michael Hott2026-06-09
🔢 mathematics

Deformation maps of quasi-twilled Lie algebras

This paper introduces the concept of quasi-twilled Lie algebras to provide a unified framework for defining two types of deformation maps that encompass various operators in Lie algebra theory, thereby establishing their controlling algebras and cohomologies to recover known results and solve previously intractable problems regarding modified rr-matrices and deformation maps of matched pairs.

Jun Jiang, Yunhe Sheng, Rong Tang2026-06-09
⚛️ general relativity

Traversable Wormhole Solutions in massive F(T)F(T) gravity

This paper presents exact, horizonless traversable wormhole solutions in massive F(T)F(T) gravity by combining a perturbative dRGT graviton-mass term with various redshift profiles, demonstrating that the additional anisotropic pressure from the mass term can sustain the wormhole throat while satisfying or minimally violating energy conditions.

Alexandre Landry, Yassine Sekhmani, Sunil K Maurya, Akram Ali, Emmanuel N. Saridakis2026-06-09
🌀 nonlinear sciences

Spectral fluctuations and crossovers in multilayer network

This paper utilizes Random Matrix Theory to investigate spectral fluctuations in multilayer networks, demonstrating that universal statistical features persist across varying connectivity configurations and successfully modeling the crossover between independent and fully coupled layer statistics, with applications validated on real protein structures.

Himanshu Shekhar, Ashutosh Dheer, Santosh Kumar, N. Sukumar2026-06-09