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PreprintarXiv licencearXiv

Holographic dark energy from generalized entropies and extended infrared cut-offs

Abstract

We study holographic dark energy models constructed from generalized entropy functionals and local infrared cut-offs. Three entropies (Barrow and the three and five-parameter generalized entropies) are each combined with the Granda-Oliveros (GO) cut-off and two extensions, one adding a γH−2 term and one a γḦ/H term, the latter raising the dark-energy evolution equation to second order. The nine resulting models are constrained against DESI DR2 BAO, Pantheon+ and a Planck compressed CMB likelihood through an MCMC analysis, and compared using the Akaike and Bayesian information criteria. The Hubble constant is stable across all models. The H−2 term is unconstrained in every case, as it becomes relevant only in the far future, and never improves on the GO cut-off. The Ḧ/H term, instead, is tightly constrained for Barrow and S5, where it improves the fit substantially, but not for S3. The best fit is obtained for Barrow entropy with the Ḧ/H cut-off, yet the Barrow exponent remains compatible with zero in all cases. The data thus favour a higher-order infrared cut-off, while showing no significant evidence for a departure from the Bekenstein-Hawking area law. We also investigate the dark energy equation of state (EoS) of S3 and S5, discovering quintessence-like behavior and phantom crossing.

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BibTeX
@misc{chen2026holographic,
  title = {{Holographic dark energy from generalized entropies and extended infrared cut-offs}},
  author = {Ke Chen and Simone D'Onofrio and Sergei D. Odintsov and Tanmoy Paul},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.11616},
  eprint = {2610.11616},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.11616},
}
RIS
TY  - UNPB
TI  - Holographic dark energy from generalized entropies and extended infrared cut-offs
AU  - Ke Chen
AU  - Simone D'Onofrio
AU  - Sergei D. Odintsov
AU  - Tanmoy Paul
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.11616
UR  - https://arxiv.org/abs/2610.11616
AB  - We study holographic dark energy models constructed from generalized entropy functionals and local infrared cut-offs. Three entropies (Barrow and the three and five-parameter generalized entropies) are each combined with the Granda-Oliveros (GO) cut-off and two extensions, one adding a γH^−2 term and one a γḦ/H term, the latter raising the dark-energy evolution equation to second order. The nine resulting models are constrained against DESI DR2 BAO, Pantheon+ and a Planck compressed CMB likelihood through an MCMC analysis, and compared using the Akaike and Bayesian information criteria. The Hubble constant is stable across all models. The H^−2 term is unconstrained in every case, as it becomes relevant only in the far future, and never improves on the GO cut-off. The Ḧ/H term, instead, is tightly constrained for Barrow and S_5, where it improves the fit substantially, but not for S_3. The best fit is obtained for Barrow entropy with the Ḧ/H cut-off, yet the Barrow exponent remains compatible with zero in all cases. The data thus favour a higher-order infrared cut-off, while showing no significant evidence for a departure from the Bekenstein-Hawking area law. We also investigate the dark energy equation of state (EoS) of S_3 and S_5, discovering quintessence-like behavior and phantom crossing.
ER  -