四维时空的单边四元数变换

Quaternion Unilateral Transformations in 4-Dimensional Space-Time

研究新的保持四维间隔不变性的时空坐标变换,即四元数形式单边变换。导出对匀速平动参考系的左右两种单边变换四元数,给出对应的运动学结果。讨论单边变换与Lorentz变换之间的两点重要区别。

New transformations of space-time coordinates preserving the invariance of 4-dimensional interval-unilateral quaternion transformations are studied. The quaternions of left and right unilateral transformations for a reference system of uniform motion with constant velocity are derived. Some results in kinematics of the unilateral transformations are given. Two important differences between the unilateral transformation and Lorentz transformation are discussed.