The discussion revolves around the concept of geodesic incompleteness in the context of General Relativity (GR), particularly focusing on its implications related to singularities, such as the big bang singularity.
The discussion is ongoing, with participants sharing their understanding and questioning the nature of geodesic incompleteness. There is an exploration of the implications of singularities, but no consensus has been reached.
Some participants express uncertainty about the extrapolation of geodesics in relation to specific points in time, such as t=0, indicating a need for further clarification on the topic.
latentcorpse said:yes but what about the t=0 big bang singularity. is this a singularity because we can only extrapolate geodesics as far back as to a time just after t=0 but we can't extend them to the t=0 region of spacetime itself and so the geodesics are incomplete?