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There is a connection between the origin and the points in the light cone.That is to say,there is a casual relationship between them.I think normal light cone means light which travels to the right side and to the left side have the same speed.Then in certain spacetime,eg. at the point of strong spacetime curvature in the picture,the light cones tip over to the right.What does it mean? the light travels faster to the right than to the left? And if the x-axis is the axis of symmetry of the light cone(as the picture shows),it means the origin has connection with the past events?Is it related to CTC(closed timelike curves)?Further more,is there a relationship between the direction of rotation(as the picture shows) and the the direction of tipping over of the light cones?