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Analysis

This paper presents a novel approach to modeling biased tracers in cosmology using the Boltzmann equation. It offers a unified description of density and velocity bias, providing a more complete and potentially more accurate framework than existing methods. The use of the Boltzmann equation allows for a self-consistent treatment of bias parameters and a connection to the Effective Field Theory of Large-Scale Structure.
Reference

At linear order, this framework predicts time- and scale-dependent bias parameters in a self-consistent manner, encompassing peak bias as a special case while clarifying how velocity bias and higher-derivative effects arise.

Analysis

This paper explores the behavior of Proca stars (hypothetical compact objects) within a theoretical framework that includes an infinite series of corrections to Einstein's theory of gravity. The key finding is the emergence of 'frozen stars' – horizonless objects that avoid singularities and mimic extremal black holes – under specific conditions related to the coupling constant and the order of the curvature corrections. This is significant because it offers a potential alternative to black holes, addressing the singularity problem and providing a new perspective on compact objects.
Reference

Frozen stars contain neither curvature singularities nor event horizons. These frozen stars develop a critical horizon at a finite radius r_c, where -g_{tt} and 1/g_{rr} approach zero. The frozen star is indistinguishable from that of an extremal black hole outside r_c, and its compactness can reach the extremal black hole value.

GUP, Spin-2 Fields, and Lee-Wick Ghosts

Published:Dec 30, 2025 11:11
1 min read
ArXiv

Analysis

This paper explores the connections between the Generalized Uncertainty Principle (GUP), higher-derivative spin-2 theories (like Stelle gravity), and Lee-Wick quantization. It suggests a unified framework where the higher-derivative ghost is rendered non-propagating, and the nonlinear massive completion remains intact. This is significant because it addresses the issue of ghosts in modified gravity theories and potentially offers a way to reconcile these theories with observations.
Reference

The GUP corrections reduce to total derivatives, preserving the absence of the Boulware-Deser ghost.