Derivations of the Lorentz transformations

There are many ways to derive the <a href="/facts/Lorentz_transformation/jotJL06G">Lorentz transformations</a> using a variety of physical principles, ranging from <a href="/facts/Maxwell%27s_equations/LfJ1drHS">Maxwell's equations</a> to Einstein's <a href="/facts/Postulates_of_special_relativity/HEQuAUGp">postulates of special relativity</a>, and <a href="/facts/Mathematics/pxTouaz4">mathematical</a> tools, spanning from <a href="/facts/Elementary_algebra/973nufT7">elementary algebra</a> and <a href="/facts/Hyperbolic_function/Y4Cb5S35">hyperbolic functions</a>, to <a href="/facts/Linear_algebra/8VaB4VWk">linear algebra</a> and <a href="/facts/Group_theory/NfowcI5H">group theory</a>.
This article provides a few of the easier ones to follow in the context of <a href="/facts/Special_relativity/vsFFc63E">special relativity</a>, for the simplest case of a Lorentz boost in standard configuration, i.e. two <a href="/facts/Inertial_frame/1U6TrdG3">inertial frames</a> moving relative to each other at constant (uniform) <a href="/facts/Relative_velocity/bVyzQ02h">relative velocity</a> less than the <a href="/facts/Speed_of_light/sKSQwdNx">speed of light</a>, and using <a href="/facts/Cartesian_coordinates/lkTqvMmB">Cartesian coordinates</a> so that the x and x′ axes are <a href="/facts/Collinearity/SxbVBJYR">collinear</a>.

Derivations of the Lorentz transformations open-in-new

Derivations of the Lorentz transformations