Effects of spacetime fluctuations

量子引力理论还远未完成，圈量子引力和弦理论的实验可验证的预测仍然缺乏。然而，一些一般性的预测是由这样的方法。在量子引力现象学中，理论方法和实验之间的缺失环节是通过计算出一些物理特征被破坏的可能场景来克服的。验证这种唯象模型所必需的实验技术已经达到了很高的精确度，并在不断得到进一步发展，本项目的目标是扩展时空涨落的特殊模型，这是引力量子理论的一个可能结果。这包括将模型应用于物理学的不同分支，即费米子扇区，光子和宏观量子系统，如玻色-爱因斯坦凝聚。这导致修改后的麦克斯韦方程，修改后的狄拉克方程，退相干的外观和修改后的Gross-Pitaevski方程，其中偏离标准物理参数的方法。通过与实验室中的高灵敏度实验（例如玻色-爱因斯坦凝聚、物质波干涉测量和迈克尔逊-莫雷型实验）和天体物理观测（例如伽马射线暴）进行比较，这种方法可以对可能的修改设定定量界限。要做的工作将导致一个全面的-当然不是完整的-概述时空波动对量子和经典系统的影响。这是必要的，以协助在寻找一个理论的量子引力。

A theory of quantum gravity is far from being complete and experimental verifiable predictions of loop quantum gravity and string theory are still lacking. However, some general predictions are made by such approaches. In quantum gravity phenomenology the missing link between theoretical approach and experiment is overcome by working out possible scenarios in which some physical features are violated. The experimental techniques, necessary for the verification of such phenomenological models, have reached a high level of accuracy and are continuously developed further.The objective of this project is to extend a special model for space-time fluctuations, being a possible outcome of a underlying quantum theory of gravitation. This includes the application of the model to different branches of physics, namely the fermionic sector, photons and macroscopic quantum systems like Bose-Einstein condensates. This leads to modified Maxwell-equations, a modified Dirac equation, the appearance of decoherence and to a modified Gross-Pitaevski equation, where deviations from standard-physics are parameterized within the approach. By comparing with high-sensitivity experiments in the laboratory (e.g. Bose-Einstein condensates, matter-wave interferometry and Michelson-Morley type experiments) and with astrophysical observations (e.g. gamma-ray bursts), this approach allows to set quantitative bounds on possible modifications. The work to be done would lead to a comprehensive - of course not complete - overview over implications of space-time fluctuations on quantum- and classical systems. This is necessary in order to assist in the search for a theory of quantum gravity.