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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Special Relativity to blow your mind

**Physics Forums | Science Articles, Homework Help, Discussion**