Oscillatory Freeze from Inertial Holographic Dark Energy

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Auteur principal: Singh, Swapnil Kumar
Format: Preprint
Publié: 2026
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author Singh, Swapnil Kumar
author_facet Singh, Swapnil Kumar
contents We study a generalized holographic dark energy model in which the infrared cutoff depends on the Hubble parameter and its first two time derivatives. The inclusion of the $\ddot H$ term introduces a finite relaxation timescale for the horizon degrees of freedom, which can be interpreted as an effective entropic inertia of the holographic vacuum energy. The resulting background dynamics admit late--time solutions in which the cosmic expansion gradually halts. In the underdamped regime, the Hubble parameter undergoes exponentially damped oscillations and asymptotically approaches $H\to0$. The scale factor grows monotonically but by a finite amount, while curvature invariants decay exponentially, leading to an asymptotically Minkowski spacetime without future singularities. We confront the full nonlinear background evolution with cosmic chronometer measurements of the Hubble parameter and find good agreement with current late--time expansion data, with a reduced chi--squared $χ^2/ν\simeq0.52$. At observable redshifts, oscillatory features are strongly suppressed and remain consistent with existing constraints.
format Preprint
id arxiv_https___arxiv_org_abs_2601_07007
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Oscillatory Freeze from Inertial Holographic Dark Energy
Singh, Swapnil Kumar
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
We study a generalized holographic dark energy model in which the infrared cutoff depends on the Hubble parameter and its first two time derivatives. The inclusion of the $\ddot H$ term introduces a finite relaxation timescale for the horizon degrees of freedom, which can be interpreted as an effective entropic inertia of the holographic vacuum energy. The resulting background dynamics admit late--time solutions in which the cosmic expansion gradually halts. In the underdamped regime, the Hubble parameter undergoes exponentially damped oscillations and asymptotically approaches $H\to0$. The scale factor grows monotonically but by a finite amount, while curvature invariants decay exponentially, leading to an asymptotically Minkowski spacetime without future singularities. We confront the full nonlinear background evolution with cosmic chronometer measurements of the Hubble parameter and find good agreement with current late--time expansion data, with a reduced chi--squared $χ^2/ν\simeq0.52$. At observable redshifts, oscillatory features are strongly suppressed and remain consistent with existing constraints.
title Oscillatory Freeze from Inertial Holographic Dark Energy
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2601.07007