Penrose Diagram. Penrose diagram of an infinite minkowski universe horizontal axis u vertical axis v in theoretical physics a penrose diagram named after mathematical physicist roger penrose is a two dimensional diagram capturing the causal relations between different points in spacetime through a conformal treatment of infinity. The penrose stairs or penrose steps also dubbed the impossible staircase is an impossible object created by oscar reutersvärd in 1937 and later made popular by lionel penrose and his son roger penrose.
Definition of a penrose diagram a penrose diagram is a kind of spacetime diagram arranged to make clear the complete causal structure of any given geometry. Penrose diagrams our goal here is to have a visual representation of an innite spacetime with a nite coordinate range while preserving its causal structure. A typical point on the interior of the diamond region represents a 2 sphere.
Penrose diagrams our goal here is to have a visual representation of an innite spacetime with a nite coordinate range while preserving its causal structure.
As a warmup figure 7 3 1 shows a penrose diagram for flat minkowski spacetime. A typical point on the interior of the diamond region represents a 2 sphere. Because high quality diagrams take a great deal of monotonous. The diagram looks 1 1 dimensional but the convention is that spherical symmetry is assumed so two more dimensions are hidden and we re really portraying 3 1 dimensions.
