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Here I present the lorentz package for working with relativistic physics. Thepackage includes functionality for four-vector transformations, three-velocityaddition, and other relativistic processes such as the behaviour of photons. Itwas designed to facilitate the search for a gyrodistributive law. In specialrelativity, three-velocities and scalars constitute a gyrovector space withaddition $\oplus$ and scalar multiplication $\odot$. Standard vector spacesobey the distributive law $a(x + y) = ax + ay$ for scalar $a$ and vectors $x$,$y$; but no analogous gyrodistributive law for $r\odot (u \oplus v)$ is known.The package was designed to facilitate the search for a gyrodistributive lawand includes functionality for four-vector transformations and three-velocityaddition, which is noncommutative and nonassociative. I use the package tosystematically sweep a large space of potential gyrodistributive laws, withoutsuccess. The package is available on CRAN, at\url{https://CRAN.R-project.org/package=lorentz}.

A systematic search for a three-velocity gyrodistributive law in special relativity with the lorentz R package