论文标题
通货膨胀和分数量子宇宙学
Inflation and fractional quantum cosmology
论文作者
论文摘要
在标准和分数量子宇宙学的背景下，研究了通货膨胀时期的平坦而紧凑的弗里德曼 - 罗伯逊 - 罗伯逊 - 罗伯逊 - 步行者宇宙学的Wheeler-Dewitt方程。在半经典制度中工作并应用WKB近似值，我们表明，对于我们的简单分数场景，获得了一些引人入胜的后果，这些后果与它们相应的标准对应物完全不同：（i）通货膨胀宇宙宇宙的常规DE STINTER行为恒定潜在的势力由势力释放代替。 （ii）Riesz的分数衍生物的非本地性产生的幂律膨胀取决于时空的紧凑空间部分的分形维度，而与Eftraton的能量尺度无关。
The Wheeler--DeWitt equation for a flat and compact Friedmann--Lemaître--Robertson--Walker cosmology at the pre-inflation epoch is studied in the contexts of the standard and fractional quantum cosmology. Working within the semiclassical regime and applying the WKB approximation, we show that some fascinating consequences are obtained for our simple fractional scenario that are completely different from their corresponding standard counterparts: (i) The conventional de Sitter behavior of the inflationary universe for constant potential is replaced by a power-law inflation. (ii) The non-locality of the Riesz's fractional derivative produces a power-law inflation that depends on the fractal dimension of the compact spatial section of space-time, independent of the energy scale of the inflaton.
