I have just been learning in some of my maths courses that a metric space is a set which has an operation mapping 2 members of the set to the reals, called "distance", which respects certain axioms, one of which is that the distance between two members of the set is greater than or equal to zero.
In what sense then is the Minkowski metric a metric, since it allows two points to have a negative interval separating them, thus violating this axioms of a metric?
In what sense then is the Minkowski metric a metric, since it allows two points to have a negative interval separating them, thus violating this axioms of a metric?