Page 58 - Nature Of Space And Time
P. 58

final
                                           observers
                                                                      singularity
                                          event horizon




                                 world line
                                of observer








                                                        maximum area
                                                       of event horizon


                                        centre of                            centre of
                                       symmetry                              symmetry
                                                                Euclidean
                                                                 region

               of time. Roger's proposal is that the Weyl tensor should vanish at one end of time but not
               the other. The Weyl tensor is that part of the curvature of spacetime that is not locally
               determined by the matter through the Einstein equations. It would have been small in
               the smooth ordered early stages. But large in the collapsing universe. Thus this proposal

               would distinguish the two ends of time and so might explain the arrow of time.


                                                             universe irregular,
                                                             Weyl tensor large



























                                                               universe smooth,
                                                               Weyl tensor small


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