5/30/2023 0 Comments Timelike infinity![]() ![]() Penrose diagrams are often used to illustrate the hypothetical Einstein–Rosen bridge connecting two separate universes in the maximally extended Schwarzschild black hole solution. The singularity is represented by a spacelike boundary to make it clear that once an object has passed the horizon it will inevitably hit the singularity even if it attempts to take evasive action. This is due to the interchanging of timelike and spacelike coordinates within the horizon of a black hole (since space is uni-directional within the horizon, just as time is uni-directional outside the horizon). Singularities in the Schwarzschild solution are denoted by a spacelike boundary, unlike the timelike boundary found on conventional spacetime diagrams. ![]() Penrose diagrams are frequently used to illustrate the causal structure of spacetimes containing black holes. Using this design, all light rays take a 45° path. It is an extension of a Minkowski diagram where the vertical dimension represents time, and the horizontal dimension represents a space dimension. 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. ![]() Penrose diagram of an infinite Minkowski universe, horizontal axis u, vertical axis v ![]()
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