论文标题
真正的洛伦兹量子宇宙学
Truly Lorentzian quantum cosmology
论文作者
论文摘要
基于洛伦兹路径积分的量子宇宙学是一条有前途的途径。但是，许多以前的作品允许通过在整个真实线上集成平方比例因子来进行非Lorentzian配置。在这里，我们表明，将MinisuperSpace路径限制到具有正方形比例因子的Lorentzian配置不可或缺的情况下，可以显着改变预期值。此外，这可以研究因果范围及其量子波动，并通过将奇异的迷你统一空间的几何形状排除为非洛林兹人，从而微不足道地避免了奇异性。结果表明，在真正的洛伦兹量子宇宙学中，半经典鞍点近似并不总是有效的。结果，需要重新审查有关隧道和无条件的建议，弹跳宇宙学以及通货膨胀的量子起源等的相关作品。
Quantum cosmology based on Lorentzian path integrals is a promising avenue. However, many previous works allow non-Lorentzian configurations by integrating the squared scale factor over the whole real line. Here we show that restricting the minisuperspace path integral to Lorentzian configurations with positive squared scale factor can significantly change the expectation values. In addition, this enables the study of causal horizons and their quantum fluctuations, and achieves singularity avoidance trivially by excluding singular minisuperspace geometries as non-Lorentzian. The results indicate that semiclassical saddle point approximation is not always valid in truly Lorentzian quantum cosmology. As a consequence, related works on the tunnelling and no-boundary proposals, bouncing cosmology, and the quantum origin of inflation etc. need to be reexamined.
