Investigation of generalised uncertainty principle effects on FRW cosmology

Based on the entropy-area relation from Nouicer's generalised uncertainty principle (GUP), we derive the GUP modified Friedmann equations from the first law of thermodynamics at apparent horizon. We find a minimum apparent horizon due to the minimal length notion of GUP. We show that the energy...

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Bibliographic Details
Published in:arXiv.org 2024-04
Main Author: Ökcü, Özgür
Format: Article
Language:English
Subjects:
Big bang cosmology
Cosmology
Deceleration
Energy conservation law
Entropy
Investigations
Principles
Thermodynamics
Uncertainty principles
Universe
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Summary:Based on the entropy-area relation from Nouicer's generalised uncertainty principle (GUP), we derive the GUP modified Friedmann equations from the first law of thermodynamics at apparent horizon. We find a minimum apparent horizon due to the minimal length notion of GUP. We show that the energy density of universe has a maximum and finite value at the minimum apparent horizon. Both minimum apparent horizon and maximum energy density imply the absence of the Big Bang singularity. Moreover, we investigate the GUP effects on the deceleration parameter for flat case. Finally, we examine the validity of generalised second law (GSL) of thermodynamics. We show that GSL always holds in a region enclosed by apparent horizon for the GUP effects. We also investigate the GSL in \(\Lambda CDM\) cosmology and find that the total entropy change of universe has a maximum value in the presence of GUP effects. To better grasp the effects of Nouicer's GUP on cosmology, we compare our results with those obtained from quadratic GUP (QGUP).
ISSN:2331-8422
DOI:10.48550/arxiv.2401.09477