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arXiv physics/0101091physics.gen-phphysics.class-ph
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迈克尔逊-莫雷实验的“真变换相对论”分析

The "True Transformations Relativity" Analysis of the Michelson_morley Experiment

Tomislav Ivezic

摘要:

本文提出了一个狭义相对论的不变公式,即,"真正的相对论变换“它处理真实的张量(当没有引入基时)或等价地处理包括分量和基的基于坐标的几何量(当引入一些基时)。结果表明,这种不变的提法,其中狭义相对论被理解为一个四维时空与伪欧几里德几何的理论,完全解释了迈克耳孙-莫雷实验的结果。本文讨论了分析迈克耳孙-莫雷实验的两种非协变方法,一种是只考虑光程(光学或几何)的传统方法,另一种是Drivel方法(R.B. Drivel,Phys. Essays \QTR{bf}{10,} 394(1997)),其中相位的增量不仅由几何路径长度的段确定,而且由该段中的波长确定。由于这些分析属于“视变换相对论”,与迈克耳孙-莫雷实验的结果不一致。

英文摘要:

In this paper we present an invariant formulation of special relativity, i.e., the ''true transformations relativity.'' It deals either with true tensor quantities (when no basis has been introduced) or equivalently with coordinate- based geometric quantities comprising both components and a basis (when some basis has been introduced). It is shown that this invariant formulation, in which special relativity is understood as the theory of a four-dimensional spacetime with the pseudo-Euclidean geometry, completely explains the results of the Michelson-Morley experiment. Two noncovariant approaches to the analysis of the Michelson-Morley experiment are discussed; the coventional one in which only the path lengths (optical or geometrical) are considered, and Driscoll's approach (R.B. Driscoll, Phys. Essays \QTR{bf}{10,}394 (1997)), in which the increment of phase is determined not only by the segment of geometric path length, but also by the wavelength in that segment. Because these analyses belong to the ''apparent transformations relativity,'' they do not agree with the results of the Michelson-Morley experiment.

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