What Does the r=0 Singularity Represent as an Event at Fixed Time in Spacetime?

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Since r is time-coordinate below the horizon,
how can you interpret that the r=0 singularity is an event at fixed time?
 
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On a standard 2-dimensional spacetime diagram in special relativity, a fixed time is a horzontal line. In spacetime, a fixed time is a spacelike hypersurface. The "r = 0" singularity in Schwarzschild spacetime is a spacelike singularity.
 

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