The other null lines through the origin are " swung around the cone " by the transformation.
2.
A null line is entered to complete a response and CONFER then prompts with a question of the form:
3.
A particular null line lying on the light cone is left " invariant "; this corresponds to the unique ( double ) fixed point on the Riemann sphere mentioned above.
4.
Following the motion of one such null line as increases corresponds to following the motion of a point along one of the circular flow lines on the celestial sphere, as described above.
5.
The ambient construction generalizes this to the case when " M " is conformally curved, first by constructing a natural null line bundle " N " with a degenerate metric, and then solving the associated Dirichlet problem on " N " & times; (-1, 1 ).
6.
The set of real scalar multiples of this null vector, called a " null line " through the origin, represents a " line of sight " from an observer at a particular place and time ( an arbitrary event we can identify with the origin of Minkowski spacetime ) to various distant objects, such as stars.