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## Main Question or Discussion Point

For a euclidean space, the interval between 2 events (one at the origin) is defined by the equation:

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?

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?