论文标题
系统地搜索与Lorentz R包的特殊相对论的三速度旋转法律
A systematic search for a three-velocity gyrodistributive law in special relativity with the lorentz R package
论文作者
论文摘要
在这里，我介绍了用于使用相对论物理学的Lorentz软件包。该软件包包括四个矢量变换，三速度添加和其他相对论过程（例如光子行为）的功能。它旨在促进搜索陀螺仪法律。在特殊的相对论中，三速度和标量构成了一个陀螺仪空间，并具有$ \ oplus $和标量乘法$ \ odot $。标准矢量空间遵守分配法$ a（x + y）= ax + ay $ for stallar $ a $ and $ x $，$ y $;但是，众所周知，$ r \ odot（u \ oplus v）$没有类似的旋转法律。该软件包旨在促进搜索旋转法律的法律，并包括四个矢量转换的功能和三速度添加的功能，这是非共同和非社交性的。我使用该软件包系统地扫除了大量潜在的旋转法律法律，但没有成功。该软件包可在\ url {https://cran.r-project.org/package=lorentz}上获得。
Here I present the lorentz package for working with relativistic physics. The package includes functionality for four-vector transformations, three-velocity addition, and other relativistic processes such as the behaviour of photons. It was designed to facilitate the search for a gyrodistributive law. In special relativity, three-velocities and scalars constitute a gyrovector space with addition $\oplus$ and scalar multiplication $\odot$. Standard vector spaces obey 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 law and includes functionality for four-vector transformations and three-velocity addition, which is noncommutative and nonassociative. I use the package to systematically sweep a large space of potential gyrodistributive laws, without success. The package is available on CRAN, at \url{https://CRAN.R-project.org/package=lorentz}.
