Big-Bang nucleosynthesis constraints on (dual) Kaniadakis cosmology

Abstract

We investigate the concept of Kaniadakis entropy and its dual formulation, examining their implications for gravitational dynamics within the framework where gravity emerges as an entropic force resulting from changes in the informational content of a physical system. In this context, we derive a modified form of Newton's law of gravitation that reflects the corrections introduced by both Kaniadakis entropy and its dual state. Furthermore, we apply the emergent gravity scenario at large scales and derive the modified Friedmann equations incorporating corrections from (dual) Kaniadakis entropy. Our results provide deeper insights into the interplay between thermodynamics and gravitational dynamics. In order to constrain the model parameter, we study the Big-Bang Nucleosynthesis in the context of (dual) Kaniadakis cosmology. We explore an alternative method to establish limits on the Kaniadakis parameter, denoted as $K$, by examining how (dual) Kaniadakis cosmology influences the primordial abundances of light elements i.e. Helium ${}_{}^4\text{He}$, Deuterium $D$ and Lithium ${}_{}^7\text{Li}$. Our analysis indicates that the obtained ranges for the dual Kaniadakis parameter (unlike the Kaniadakis parameter) exhibit overlap for the aforementioned light elements, and the allowed values fall within the range $-0.8\times 10^{-78}\lesssim \widetilde{K^{\ast }}\lesssim 0.8\times 10^{-78}$, which shows that the deviations from the conventional Bekenstein-Hawking formula are minimal, as expected. This consistency between the ranges suggests a potential solution to the well-known \textit{Lithium problem}. Furthermore, we discuss the relationship between cosmic time $t$ and temperature $T$ within the framework of (dual) Kaniadakis cosmology.

13 pages, 8 figures, Accepted by Phys. Rev. D

References in corpus (28)

• Primordial Nucleosynthesis in the Precision Cosmology Era
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Friedmann Equations from Entropic Force
• Modified cosmology from extended entropy with varying exponent
• Early and late universe holographic cosmology from a new generalized entropy
• Thermodynamics of apparent horizon and modified Friedman equations
• Modified cosmology through spacetime thermodynamics and Barrow horizon entropy
• Entropic Corrections to Friedmann Equations
• Generalized entropies and corresponding holographic dark energy models
• Constraining The Early-Universe Baryon Density And Expansion Rate
• Friedmann equations from emergence of cosmic space
• Emergence of Cosmic Space and the Generalized Holographic Equipartition
• Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe
• Modified cosmology through Barrow entropy
• New explanation for accelerated expansion and flat galactic rotation curves
• Big Bang Nucleosynthesis and Entropy Evolution in $f(R,T)$ Gravity
• Statistical approaches on the apparent horizon entropy and the generalized second law of thermodynamics
• Corrections to Friedmann equations inspired by Kaniadakis entropy
• Tsallis and Kaniadakis statistics from the viewpoint of entropic gravity formalism
• Big Bang Nucleosynthesis constraints on $f(T,\mathcal{T})$ gravity
• MOND and the Universal Rotation Curve: similar phenomenologies
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• Modified cosmology through Kaniadakis entropy

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