Here's a few kickers for those of you who don't know a lot about the mathematics of relativity:(adsbygoogle = window.adsbygoogle || []).push({});

The locus of all points equidistant from the origin is a four dimensional hyberbola given by:

[tex]

d^2=(y_1-x_1)^2+(y_2-x_2)^2+(y_3-x_3)^2-c^2(y_4-x_4)^2

[/tex]

where [tex] c [/tex] is the speed of light. Also the cross section of this perpendicular to the time axis (x_4) is a sphere, the euclidean locus of equidistant points.

the reason the [tex] -c^2 [/tex] is in the equation is the Minkowski metric which also determines the lorentz transformation that makes inertia increase as velocity increases etc. Hope someone else finds this tidbit entertaining.

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# Special Relativity to blow your mind

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