عنوان مجله
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Physics of the Dark Universe
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چکیده
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Jalalzadeh (2022), established that the thermodynamical entropy of a quantum-deformed black hole
with horizon area A can be written as Sq = π sin (
A
8GN
)
/ sin (
π
2N
)
, where N = L
2
q
/L
2
P
, LP being
the Planck length and Lq denoting, generically, the q-deformed cosmic event horizon distance Lq.
Motivated by this, we now extend the framework constructed in Jalalzadeh (2022) towards the
Friedmann and Raychaudhuri equations describing spatially homogeneous and isotropic universe
dynamics. Our procedure in this paper involves a twofold assumption. On the one hand, we take
the entropy associated with the apparent horizon of the Robertson–Walker universe in the form
of the aforementioned expression. On the other hand, we assume that the unified first law of
thermodynamics, dE = TdS + WdV, holds on the apparent horizon. Subsequently, we find a novel
modified cosmological scenario characterized by quantum-deformed (q-deformed) Friedmann and
Raychaudhuri equations containing additional components that generate an effective dark energy
sector. Our results indicate an effective dark energy component, which can explain the Universe’s
late-time acceleration. Moreover, the Universe follows the standard thermal history, with a transition
redshift from deceleration to acceleration at ztran = 0.5. More precisely, according to our model, at a
redshift of z = 0.377, the effective dark energy dominates with a de Sitter universe in the long run.
We include the evolution of luminosity distance, µ, the Hubble parameter, H(z), and the deceleration
parameter, q(z), versus redshift. Finally, we have condu
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