偶然性：时空不变性与尺度效应
Serendipity: Spacetime Invariance and Scale Effect
摘要：
研究了相对匀速运动惯性系之间的互反逻辑。相对性允许任何参考系应用洛伦兹变换，而互易性将要求相对系对同一事件使用逆变换，反之亦然。经过这样的转换，相对论测量和协变尺度之间的不可分离性进行了研究。在狭义相对论中，尺度变换是保持时空不变性的必要条件。基于尺度效应，导出了洛伦兹因子的一个新的推导公式。因子的物理意义是它用作相对参考系之间的比例转换比。相对论中的互易性和相对运动中的协变性的因果性因此是守恒的。这些逻辑结论协调了内在的自然不变性与明显的观测协方差。
英文摘要：
A logic of reciprocity between inertial frames in relative uniform motion is investigated. Relativity allows any reference frame to apply Lorentz Transformation while reciprocity would require the relative frame to use Inverse Transformation for the same event, and vice versa. After such transformations, an inseparability between relativistic measurements and the covariant scale is examined. Scale conversion has been found to be necessary to preserve spacetime invariance in Special Relativity. A new derivation of the Lorentz Factor has been found based on the scale effect. The physical meaning of the Factor is that it serves as a scale conversion ratio between relative reference frames. Reciprocity in relativity and causality of covariance in relative motion are thereby conserved. These logical conclusions harmonize intrinsic natural invariances vis-a-vis apparent observational covariances.
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