For a euclidean space, the interval between 2 events (one at the origin) is defined by the equation:(adsbygoogle = window.adsbygoogle || []).push({});

L^2=x^2 + y^2

The graph of this equation is a circle for which all points on the circle are separated by the distance L from the origin.

For space-time, the interval between 2 events is defined by the equation

S^2 = r^2 - (ct)^2

The graph of this equation is a hyperbola. In this case, what would S represent geometrically given that all events on the hyperbola share the same space-time invariant?

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# Geometric interpretation of the spacetime invariant

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