论文标题
巴罗熵的大爆炸核合成约束
Big Bang Nucleosynthesis constraints on Barrow entropy
论文作者
论文摘要
我们使用大爆炸核合成（BBN）数据，以对巴罗熵的指数施加限制。后者是由量子 - 重大效应对黑洞结构的融合而产生的扩展熵关系，该量子通过新参数$δ$有效地参数化。当在宇宙学框架和重力心理动力学的猜想中考虑时，巴罗熵会导致修改的宇宙学场景，其弗里德曼方程包含额外的术语。我们对BBN时代进行了详细的分析，并计算出与标准宇宙学的结果相比，冻结温度的偏差。我们使用$ | \ frac {δ{t} _f} {{t} _f} | $上的观察确定的绑定，以提取$δ$的上限。正如我们发现的那样，巴罗指数应在绑定的$δ\ Lessim 1.4 \ times 10^{ - 4} $内，以免破坏BBN时期，这表明标准的Bekenstein-Hawking表达式的变形应按预期较小。
We use Big Bang Nucleosynthesis (BBN) data in order to impose constraints on the exponent of Barrow entropy. The latter is an extended entropy relation arising from the incorporation of quantum-gravitational effects on the black-hole structure, parameterized effectively by the new parameter $Δ$. When considered in a cosmological framework and under the light of the gravity-thermodynamics conjecture, Barrow entropy leads to modified cosmological scenarios whose Friedmann equations contain extra terms. We perform a detailed analysis of the BBN era and we calculate the deviation of the freeze-out temperature comparing to the result of standard cosmology. We use the observationally determined bound on $ |\frac{δ{T}_f}{{T}_f}|$ in order to extract the upper bound on $Δ$. As we find, the Barrow exponent should be inside the bound $Δ\lesssim 1.4\times 10^{-4}$ in order not to spoil the BBN epoch, which shows that the deformation from standard Bekenstein-Hawking expression should be small as expected.
