Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects

Luciano, Giuseppe Gaetano

doi:10.1140/epjb/s10051-024-00730-3

Eur. Phys. J. B

2024

DOI: 10.1140/epjb/s10051-024-00730-3

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Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects

Giuseppe Gaetano Luciano

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Cited by 4 publications

References 93 publications

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On the interrelation of the generalized holographic equipartition and entropy maximization in Kaniadakis paradigm

Prasanthan,

Nelleri,

Pradeepan

et al. 2024

Gen Relativ Gravit

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On the interrelation of the generalized holographic equipartition and entropy maximization in Kaniadakis paradigm

Prasanthan,

Nelleri,

Pradeepan

et al. 2024

Gen Relativ Gravit

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Emergence of cosmic space and horizon thermodynamics from Kaniadakis entropy

Prasanthan,

Nelleri,

Poonthottathil

et al. 2024

Class. Quantum Grav.

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Utilizing Kaniadakis entropy associated with the apparent horizon of the Friedmann-Robertson-Walker (FRW) Universe and applying the emergence of cosmic space paradigm, we deduce the modified Friedmann equation for a non-flat (n+1)-dimensional universe. Employing the first law of thermodynamics, we arrive at the same modified Friedmann equation, showing the connection between emergence of cosmic space and first law of thermodynamics. We also establish the condition to satisfy the Generalized second law of thermodynamics within the Kaniadakis framework. Our study illuminates the intricate connection between the law of emergence and horizon thermodynamics, offering a deeper insight through the lens of Kaniadakis entropy.

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New trends in statistical physics of complex systems: theoretical and experimental approaches

Kaniadakis,

Matteo,

Scarfone

et al. 2024

Eur. Phys. J. B

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Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects

Cited by 4 publications

References 93 publications

On the interrelation of the generalized holographic equipartition and entropy maximization in Kaniadakis paradigm

On the interrelation of the generalized holographic equipartition and entropy maximization in Kaniadakis paradigm

Emergence of cosmic space and horizon thermodynamics from Kaniadakis entropy

New trends in statistical physics of complex systems: theoretical and experimental approaches

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