标题： 实四元数相对论 显示英文标题

标题： The Real Quaternion Relativity

摘要： 在本工作中，我们使用实四元数和光速的最终概念，试图增强狭义相对论的标准描述。 首先，我们证明可以引入一个四元数时间域，其中坐标点由四元数时间描述。 我们表明，即使对于静止参考系，时间测量也是观察者位置的函数。 我们引入一个运动观察者，这导致了传统洛伦兹的时间间隔关系。 我们表明，目前的方法可以用于静止、运动或旋转的参考系，与传统的狭义相对论仅适用于惯性运动参考系不同。 然后，我们使用时空和质能等价的四元数表述，将四元数相对论扩展到空间、质量和能量。 我们证明粒子和观察者参考系之间的转换等同于空间反演，并可以通过四元数共轭在数学上描述。 另一方面，物理测量由四元数范数描述，因此独立于共轭，这似乎是对相对性原理的四元数表述。 显示英文摘要

摘要： In this work, we use real quaternions and the basic concept of the final speed of light in an attempt to enhance the standard description of special relativity. First, we demonstrate that it is possible to introduce a quaternion time domain where a coordinate point is described by a quaternion time. We show that the time measurement is a function of the observer location, even for stationary frames of reference. We introduce a moving observer, which leads to the traditional Lorentz relation for the time interval. We show that the present approach can be used in stationary, moving, or rotating frames of reference, unlike the traditional special relativity, which applies only to the inertial moving frames. Then, we use the quaternion formulation of space-time and mass-energy equivalence to extend the quaternion relativity to space, mass, and energy. We demonstrate that the transition between the particle and observer reference frames is equivalent to space inversion and can be described mathematically by quaternion conjugation. On the other hand, physical measurements are described by the quaternion norm and consequently are independent of the conjugation, which seems to be the quaternion formulation of the relativity principle.