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## Main Question or Discussion Point

is minkowski space a metric space. As best as i can remember a metric space is a set with a metric that defines the open sets. With this intuition is Minkowski space a metric space. I mean i think it should be, but according to one of the requirements for a metric:

d(x,y)=0 iff x=y

triangle inequality is also broken.

but this is not true for points along the worldline with v=c in minkowski space.

Or is the requirement above just for euclidean spaces?

d(x,y)=0 iff x=y

triangle inequality is also broken.

but this is not true for points along the worldline with v=c in minkowski space.

Or is the requirement above just for euclidean spaces?