gr-qc papers | Gist.Science

Quantum gravity represents the frontier where the very large meets the very small, attempting to unify Einstein's theory of gravity with the strange rules of quantum mechanics. This field explores the fundamental fabric of spacetime, seeking to understand how the universe behaves at its most extreme scales, from the heart of black holes to the moment of the Big Bang. Because these concepts often involve complex mathematics, they can feel distant to non-specialists, yet they hold the key to a complete picture of physical reality.

At Gist.Science, we bridge this gap by processing every new preprint in this category directly from arXiv. Our team provides both plain-language explanations and detailed technical summaries for each paper, ensuring that groundbreaking research is accessible to everyone, from curious students to seasoned researchers. Below are the latest papers in quantum gravity, offering fresh insights into the nature of our cosmos.

⚛️ general relativity

Numerical investigation of the generalized Jang equation coupled to conformal flow of metrics

This paper presents a numerical investigation demonstrating that, unlike the Jang/zero divergence system which exhibits a finite-radius breakdown, coupling the generalized Jang equation to the conformal flow of metrics in spherically symmetric, time-symmetric settings preserves solution regularity, suggesting this modified system remains a viable approach for proving the Penrose conjecture.

Hollis Williams2026-04-21

🔭 astrophysics

AI--Assisted Exploration: DHOST Theories without Quantum Ghosts

This paper resolves the tension between higher-derivative quantum corrections and Ostrogradsky ghost instabilities in DHOST theories by proving that the algebraic conditions derived from gauge symmetry invariance are mathematically identical to the dynamical constraints required for Hamiltonian stability, thereby establishing symmetry principles as a robust tool for constructing ghost-free gravitational effective field theories.

Ginevra Braga, Raul Jimenez, Sabino Matarrese2026-04-21

🔭 astrophysics

A First Investigation of Repeated-Signal Localization of Strongly Lensed Gravitational Waves for Multimessenger Astronomy

This paper demonstrates that combining multiple lensed images of strongly lensed gravitational wave sources significantly improves sky localization accuracy, with the most substantial gains achieved by merging just two images, thereby facilitating effective multimessenger follow-up and host galaxy identification.

Alvin K. Y. Li, Otto A. Hannuksela2026-04-21

🔢 mathematics

Quantum Reference Frames and Correlation Geometry

This paper offers a self-contained introduction to correlation geometry as the foundation of causal fermion systems, emphasizing its treatment of gauge transformations and unitary equivalence while arguing that this framework conceptually aligns more closely with thermodynamics than with standard quantum theory.

Claudio F. Paganini2026-04-21

⚛️ quantum physics

Effective Trace Framework for Self-Similar Casimir Systems

This paper establishes a unified effective framework that decouples rigorous mathematical bounds from phenomenological models to describe the vacuum trace in self-similar Casimir systems, demonstrating that the integrated vacuum trace is proportional to the logarithmic running of a scale-dependent Casimir coefficient while distinguishing this macroscopic backreaction from local trace anomalies.

Goren Gordon2026-04-21

⚛️ general relativity

A note on complete gauge-fixing and the constraint algebra

This paper establishes that the admissibility of complete gauge-fixing is determined solely by the invertibility of the gauge-fixing constraint matrix, as the combined constraint determinant factorizes to decouple the second-class sector, thereby unifying Hamiltonian and Lagrangian completeness criteria and ensuring robustness in modified gravity theories.

Ganga Singh Manchanda2026-04-21

⚛️ general relativity

Quasinormal modes of the generalized JMN naked singularity using exact WKB analysis

This paper employs exact WKB analysis to demonstrate that the bow-shaped deformation of Stokes curves in the complex radial plane serves as a unique topological signature of the generalized JMN naked singularity, distinguishing it from black hole spacetimes by revealing a logarithmic branch-point singularity at the origin.

Aryansh Saxena, Suresh C. Jaryal, K. K. Sharma2026-04-21

⚛️ general relativity

Generalized relative locality and causal sets

This paper introduces a novel, coordinate-independent framework for phenomenological quantum gravity that utilizes a dual spacetime structure—combining an observer-independent smooth manifold with an observer-dependent discrete causal set—to demonstrate that relative locality arises generally regardless of momentum-space curvature while preserving manifest causality and enabling applications to cosmology.

Andrea Bevilacqua, Alice Boldrin2026-04-21

⚛️ general relativity

Weak Gravitational Lensing: A Brief Overview

This paper provides a comprehensive analysis of weak gravitational lensing by developing relativistic formulations for light deflection in static and rotating spacetimes, deriving analytical expressions for photon orbits, and applying advanced methods like the Rindler-Ishak approach, Gauss-Bonnet theorem, and optical invariants to establish a unified geometrical framework for computing bending angles.

Partha Pratim Basumallick, Saheb Das, Bhaswati Mandal, Subhadip Sau2026-04-21

⚛️ phenomenology

A Unified Bogoliubov Approach to Primordial Gravitational Waves: From Inflation to Reheating

This paper presents an improved, publicly available numerical method based on the Bogoliubov approach that overcomes existing instabilities to accurately calculate the full spectrum of primordial gravitational waves from inflation through reheating, revealing how inflaton anharmonicity imprints distinct features on high-frequency signals.

Yubing Wang, Quan-feng Wu, Xun-Jie Xu2026-04-21

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