Luciano Giuseppe Gaetano
Applied Physics Section of Environmental Science Department, Universitat de Lleida, Av. Jaume II, 69, 25001 Lleida, Spain.
Entropy (Basel). 2022 Nov 24;24(12):1712. doi: 10.3390/e24121712.
Kaniadakis statistics is a widespread paradigm to describe complex systems in the relativistic realm. Recently, gravitational and cosmological scenarios based on Kaniadakis (κ-deformed) entropy have been considered, leading to generalized models that predict a richer phenomenology comparing to their standard Maxwell-Boltzmann counterparts. The purpose of the present effort is to explore recent advances and future challenges of Gravity and Cosmology in Kaniadakis statistics. More specifically, the first part of the work contains a review of κ-entropy implications on Holographic Dark Energy, Entropic Gravity, Black hole thermodynamics and Loop Quantum Gravity, among others. In the second part, we focus on the study of Big Bang Nucleosynthesis in Kaniadakis Cosmology. By demanding consistency between theoretical predictions of our model and observational measurements of freeze-out temperature fluctuations and primordial abundances of 4He and , we constrain the free κ-parameter, discussing to what extent the Kaniadakis framework can provide a successful description of the observed Universe.
卡尼亚达基斯统计是一种广泛应用的范式，用于描述相对论领域中的复杂系统。最近，基于卡尼亚达基斯（κ变形）熵的引力和宇宙学情景已被考虑，从而产生了广义模型，与标准的麦克斯韦-玻尔兹曼对应模型相比，这些模型预测了更丰富的现象学。本研究的目的是探索卡尼亚达基斯统计中引力与宇宙学的最新进展和未来挑战。更具体地说，工作的第一部分包含对κ熵在全息暗能量、熵引力、黑洞热力学和圈量子引力等方面的影响的综述。在第二部分中，我们专注于卡尼亚达基斯宇宙学中太初核合成的研究。通过要求我们模型的理论预测与冻结温度涨落以及4He和的原始丰度的观测测量之间保持一致，我们对自由κ参数进行了约束，讨论了卡尼亚达基斯框架在多大程度上能够成功描述观测到的宇宙。
