Heidelberg 2007 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 304: Quantengravitation

GR 304.2: Talk

Wednesday, March 7, 2007, 17:30–17:45, KIP Kl. HS

Metrical fluctuations and inertial properties of particles — Ertan Göklü and •Claus Lämmerzahl — ZARM - Universität Bremen

In our approach spacetime fluctuations are described by means of fluctuations of the metric which is given by a weak-field approximation up to second order. On a curved background these terms are regarded as fluctuations of spacetime which are characterized by a Langevin equation leading to a stochastic behaviour which can be modified in order to describe different types of fluctuation scenarios. In this context we calculate a modified Klein-Gordon equation and a modified Schrödinger equation and perform an average over the fluctuations. Alternatively, treating spacetime fluctuations as a heath bath which couples to a quantum system is described in terms of a modified Lagrangian. Effectively, this is a open quantum system leading to a modified quantum master equation. Results are a modified inertial and gravitational mass leading to a violation of the weak equivalence principle and a violation of Lorentz invariance. These modifications are dependent of the fluctuation scenario.