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Kruskal-Szekeres spacetime diagram for the ‘mirror’ wormhole In the mirror interpretation of the Schwarzschild wormhole, an event \(( t_\textrm{K} , r_\textrm{K} )\) (tK, rK) in the Kruskal diagram is considered to be identical to the event (-tK, -rK). \(( - t_\textrm{K} , - r_\textrm{K} )\) Whereas time flows upward on the right, time flows downward on the left. Watch the Kruskal spacetime diagram flip between mirror and wormhole geometries (13K GIF); or same flip, double-size on screen. In the mirror interpretation, the past is connected to the future at the antihorizon (red line from lower right to upper left), an interesting twist. However, no information can pass the antihorizon in either direction, so causality is not violated. There are other ways to complete the Kruskal diagram by taking a mirror image of the Schwarzschild geometry and gluing it to the original along the antihorizon. However, they are arguably not as cute as the way shown here. |
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Updated 19 Apr 1998; converted to mathjax 3 Feb 2018