- #1
stevmg
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Homework Statement
In space-time when one "travels" a distance x from a point (within the light cone) this, in effect, comes off the time it takes. This is a hyperbolic relationship
Homework Equations
tau = SQRT[t2 - x2]
We'll stay with one dimension (x)
The Attempt at a Solution
tau2 = t2-x2 - Now that IS a hyperbola
The question is, where did tau = SQRT[t2 - x2] come from. I've looked at the Lorentz transforms
x' = [tex]\gamma[/tex](x - vt)
t' = [tex]\gamma[/tex][t - v2x/c2]
I cannot make that happen but it is because of the Lorentz transforms that this time-distance relationship is true