Triangle Inequality - Reversal in Minkowski Space

Reversal in Minkowski Space

In the usual Minkowski space and in Minkowski space extended to an arbitrary number of spatial dimensions, assuming null or timelike vectors in the same time direction, the triangle inequality is reversed:

such that and

A physical example of this inequality is the twin paradox in special relativity.

Read more about this topic:  Triangle Inequality

Famous quotes containing the words reversal and/or space:

    Perversity depends on reversal and substitution.
    Mason Cooley (b. 1927)

    True spoiling is nothing to do with what a child owns or with amount of attention he gets. he can have the major part of your income, living space and attention and not be spoiled, or he can have very little and be spoiled. It is not what he gets that is at issue. It is how and why he gets it. Spoiling is to do with the family balance of power.
    Penelope Leach (20th century)