论文标题

非扩展的Tsallis宇宙学中的男性生成

Baryogenesis in non-extensive Tsallis Cosmology

论文作者

Luciano, Giuseppe Gaetano, Gine, Jaume

论文摘要

非扩展的Tsallis恒温术是描述大型重力系统的广泛范式。在这项工作中,我们使用Tsallis宇宙学来研究热力学重力并得出改良的弗里德曼方程。我们表明,非扩张性引起的校正会影响辐射主导的时期期间哈勃功能的演变。反过来,这导致了宇宙的质量密度和压力含量的非平凡修改,即使在RICCI标量和巴属电流之间存在标准相互作用的情况下,这也提供了可行的机制,允许baryogenogeny。通过要求与当前的观测界一致,我们将tsallis $δ$参数限制为$ |δ-1 | \ simeq 10^{ - 3} $。基于tsallis恒温量与普朗克量表(GUP)不确定性原理的量子重力概括之间建立的联系,我们最终表明,这种结合与许多量子重力模型预测的GUP参数的估计是一致的。

Non-extensive Tsallis thermostatistics is a widespread paradigm to describe large-scale gravitational systems. In this work we use Tsallis Cosmology to study thermodynamic gravity and derive modified Friedmann equations. We show that corrections induced by non-extensivity affect the Hubble function evolution during the radiation-dominated epoch. In turn, this leads to non-trivial modifications of the mass density and pressure content of the Universe, which provide a viable mechanism allowing for baryogenesis, even in the presence of the standard interaction between the Ricci scalar and baryon current. By demanding consistency with current observational bounds on baryogenesis, we constrain Tsallis $δ$ parameter to be $|δ-1| \simeq 10^{-3}$. Based on the recently established connection between Tsallis thermostatistics and the quantum gravitational generalization of the uncertainty principle at Planck scale (GUP), we finally show that this bound is in agreement with the estimation of the GUP parameter predicted by many quantum gravity models.

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