Phenomenological insights into holographically reconstructed fractional action cosmology: Cosmic dynamics, thermodynamics, and statefinder diagnostics

In this work, we use generalised infrared (IR) cutoffs as a reconstruction tool to investigate the dynamics of holographic dark energy through Fractional Action Cosmology (FAC). We construct a cosmological model that naturally takes into account important features like the universe's late-time...

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Main Authors: Rimi Debnath, Sanjeeda Sultana, Khandro K. Chokyi, Surajit Chattopadhyay
Format: Article
Language:English
Published: Elsevier 2025-09-01
Series:Nuclear Physics B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0550321325002834
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author Rimi Debnath
Sanjeeda Sultana
Khandro K. Chokyi
Surajit Chattopadhyay
author_facet Rimi Debnath
Sanjeeda Sultana
Khandro K. Chokyi
Surajit Chattopadhyay
author_sort Rimi Debnath
collection DOAJ
description In this work, we use generalised infrared (IR) cutoffs as a reconstruction tool to investigate the dynamics of holographic dark energy through Fractional Action Cosmology (FAC). We construct a cosmological model that naturally takes into account important features like the universe's late-time acceleration by using fractional calculus to analyse the gravitational action. We investigate the energy conditions, thermodynamic behaviour, and equation of state (EoS) parameter in detail, with special attention to the Generalised Second Law (GSL). We discover that the model parameter n and the relaxation time τ both have important effects on cosmic evolution. According to statefinder diagnostics, the model fits the typical ΛCDM scenario quite well, but it also exhibits patterns that, in certain circumstances, resemble the behaviour of Chaplygin gas. Our findings demonstrate the FAC framework's adaptability and practicality in simulating cosmic evolution. Motivated by the Nojiri-Odintsov approach, we suggest expanding the current model to unify late-time acceleration and early-time inflation as a future direction. In order to gain a better understanding of phase transitions and to reinforce the cosmological significance of holographically reconstructed FAC, we also propose to generalize the IR cut-off to the Nojiri-Odintsov type.
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issn 0550-3213
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series Nuclear Physics B
spelling doaj-art-c06ae09ea35345478679e302d662c2af2025-08-20T05:04:22ZengElsevierNuclear Physics B0550-32132025-09-01101811707410.1016/j.nuclphysb.2025.117074Phenomenological insights into holographically reconstructed fractional action cosmology: Cosmic dynamics, thermodynamics, and statefinder diagnosticsRimi Debnath0Sanjeeda Sultana1Khandro K. Chokyi2Surajit Chattopadhyay3Department of Mathematics, Amity University, Kolkata, Major Arterial Road, Action Area II, Rajarhat, Newtown, Kolkata 700135, IndiaDepartment of Mathematics, Amity University, Kolkata, Major Arterial Road, Action Area II, Rajarhat, Newtown, Kolkata 700135, IndiaDepartment of Mathematics, Amity University, Kolkata, Major Arterial Road, Action Area II, Rajarhat, Newtown, Kolkata 700135, IndiaCorresponding author.; Department of Mathematics, Amity University, Kolkata, Major Arterial Road, Action Area II, Rajarhat, Newtown, Kolkata 700135, IndiaIn this work, we use generalised infrared (IR) cutoffs as a reconstruction tool to investigate the dynamics of holographic dark energy through Fractional Action Cosmology (FAC). We construct a cosmological model that naturally takes into account important features like the universe's late-time acceleration by using fractional calculus to analyse the gravitational action. We investigate the energy conditions, thermodynamic behaviour, and equation of state (EoS) parameter in detail, with special attention to the Generalised Second Law (GSL). We discover that the model parameter n and the relaxation time τ both have important effects on cosmic evolution. According to statefinder diagnostics, the model fits the typical ΛCDM scenario quite well, but it also exhibits patterns that, in certain circumstances, resemble the behaviour of Chaplygin gas. Our findings demonstrate the FAC framework's adaptability and practicality in simulating cosmic evolution. Motivated by the Nojiri-Odintsov approach, we suggest expanding the current model to unify late-time acceleration and early-time inflation as a future direction. In order to gain a better understanding of phase transitions and to reinforce the cosmological significance of holographically reconstructed FAC, we also propose to generalize the IR cut-off to the Nojiri-Odintsov type.http://www.sciencedirect.com/science/article/pii/S0550321325002834Fractional action cosmologyHolographic dark energyGeneralized infrared cutoffGeneralised second lawStatefinder diagnostics
spellingShingle Rimi Debnath
Sanjeeda Sultana
Khandro K. Chokyi
Surajit Chattopadhyay
Phenomenological insights into holographically reconstructed fractional action cosmology: Cosmic dynamics, thermodynamics, and statefinder diagnostics
Nuclear Physics B
Fractional action cosmology
Holographic dark energy
Generalized infrared cutoff
Generalised second law
Statefinder diagnostics
title Phenomenological insights into holographically reconstructed fractional action cosmology: Cosmic dynamics, thermodynamics, and statefinder diagnostics
title_full Phenomenological insights into holographically reconstructed fractional action cosmology: Cosmic dynamics, thermodynamics, and statefinder diagnostics
title_fullStr Phenomenological insights into holographically reconstructed fractional action cosmology: Cosmic dynamics, thermodynamics, and statefinder diagnostics
title_full_unstemmed Phenomenological insights into holographically reconstructed fractional action cosmology: Cosmic dynamics, thermodynamics, and statefinder diagnostics
title_short Phenomenological insights into holographically reconstructed fractional action cosmology: Cosmic dynamics, thermodynamics, and statefinder diagnostics
title_sort phenomenological insights into holographically reconstructed fractional action cosmology cosmic dynamics thermodynamics and statefinder diagnostics
topic Fractional action cosmology
Holographic dark energy
Generalized infrared cutoff
Generalised second law
Statefinder diagnostics
url http://www.sciencedirect.com/science/article/pii/S0550321325002834
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AT sanjeedasultana phenomenologicalinsightsintoholographicallyreconstructedfractionalactioncosmologycosmicdynamicsthermodynamicsandstatefinderdiagnostics
AT khandrokchokyi phenomenologicalinsightsintoholographicallyreconstructedfractionalactioncosmologycosmicdynamicsthermodynamicsandstatefinderdiagnostics
AT surajitchattopadhyay phenomenologicalinsightsintoholographicallyreconstructedfractionalactioncosmologycosmicdynamicsthermodynamicsandstatefinderdiagnostics