math-ph papers | Gist.Science

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.

🌀 nonlinear sciences

Consistent kinetic modeling of compressible flows with variable Prandtl numbers: Double-distribution quasi-equilibrium approach

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.

R. M. Strässle, S. A. Hosseini, I. V. Karlin2026-03-17

🔢 mathematics

On the Fourier coefficients of critical Gaussian multiplicative chaos

This paper establishes that the Fourier coefficients of critical Gaussian multiplicative chaos on the unit interval decay faster than $(\log n)^{-\alpha}$ in probability for any $\alpha < 1/4$ , thereby extending recent work by Garban and Vargas.

Louis-Pierre Arguin, Jad Hamdan2026-03-17

🔢 mathematics

Decoherence from universal tomographic measurements

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.

Dorje C. Brody, Rishindra Melanathuru2026-03-17

🔢 mathematics

Quantum clock and Newtonian time

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.

Dorje C. Brody, Lane P. Hughston2026-03-17

🔢 mathematics

Exact integration of Hamiltonian dynamics via Jacobi and Poisson Cinf-structures

This paper introduces a geometric framework called Poisson $C^\infty$ -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.

A. J. Pan-Collantes, C. Sardón, X. Zhao2026-03-17

⚛️ general relativity

Periodic Analogs of Multiple Black Holes Solutions

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.

Omar E. Ortiz, Javier Peraza2026-03-17

🔢 mathematics

Beyond Murray's Law: Non-Universal Branching Exponents from Vessel-Wall Metabolic Costs

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.

Riccardo Marchesi2026-03-17

🔢 mathematics

Iterated Graph Systems (I): random walks and diffusion limits

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.

Ziyu Neroli2026-03-17

🔢 mathematics

Revisited Quantification of the Resource Theory of Imaginarity

This paper investigates the decay behaviors of three imaginarity metrics for single-qubit and two-qubit states under various quantum channels, while also generalizing concepts of maximal imaginary states and imaginary/de-imaginary powers to the two-qubit regime.

Yue Han, Naihong Hu2026-03-17

🔢 mathematics

Quantum Dynamical Entropy and non-Markovianity: a collisional model perspective

This paper demonstrates that the Alicki-Lindblad-Fannes (ALF) dynamical entropy, derived from multi-time correlation functions in a collisional model with a classical spin chain environment, serves as a quantitative measure linking the statistical properties of the environment to the activation and super-activation of non-Markovian memory effects in open quantum systems.

Giovanni Nichele, Fabio Benatti2026-03-17

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