论文标题
DE STINTER分数量子宇宙学
de Sitter Fractional Quantum Cosmology
论文作者
论文摘要
我们将Riesz的分数衍生物用于Wheeler--Dewitt方程，用于封闭的DE STINTER几何形状，并获得无边界和隧道波函数。从相应的概率分布中，成核宇宙的事件范围可以是分形表面，尺寸在$ 2 \ leq d <3 $之间。具体而言，隧道波函数有利于分形尺寸小于$ 2.5 $，并且加速了幂律阶段。不同的是，无限的提案传达了分形维度接近$ 3 $，而宇宙则进入了减速阶段。随后，我们将讨论扩展到（非平整）平坦和开放场景。结果表明，鉴于在隧道提案中创建封闭通货膨胀宇宙的可能性被指数抑制，因此在分数通货膨胀量量子宇宙中受到青睐。
We employ Riesz's fractional derivative into the Wheeler--DeWitt equation for a closed de Sitter geometry and obtain the no-boundary and tunneling wavefunctions. From the corresponding probability distributions, the event horizon of the nucleated universe can be a fractal surface with dimensions between $2\leq D<3$. Concretely, the tunneling wavefunction favors fractal dimensions less than $2.5$ and an accelerated power-law phase. Differently, the no-boundary proposal conveys fractal dimensions close to $3$, with the universe instead entering a decelerated phase. Subsequently, we extend our discussion towards (non-trivial compact) flat and open scenarios. Results suggest that given the probability of creation of a closed inflationary universe in the tunneling proposal is exponentially suppressed, a flat or an open universe becomes favored within fractional inflationary quantum universe.
