量子物质涨落对测地偏差的影响
Influence of quantum matter fluctuations on geodesic deviation
摘要：
研究了半经典体系中量子物质涨落对类时测地线同余展开参数的被动影响。特别是，我们表明，该参数的扰动可以被认为是元素的代数的物质场在所有微扰阶。因此，一旦选择了物质的量子态，就有可能明确地评估几何涨落的行为。在介绍了处理类似问题所必需的形式主义之后，在本文的最后一部分，我们估计了由于这些涨落而在平坦时空中产生测地坍缩的近似概率。
英文摘要：
We study the passive influence of quantum matter fluctuations on the expansion parameter of a congruence of timelike geodesics in a semiclassical regime. In particular, we show that, the perturbations of this parameter can be considered to be elements of the algebra of matter fields at all perturbative order. Hence, once a quantum state for matter is chosen, it is possible to explicitly evaluate the behavior of geometric fluctuations. After introducing the formalism necessary to treat similar problems, in the last part of the paper, we estimate the approximated probability of having a geodesic collapse in a flat spacetime due to those fluctuations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
