Relativity and Cosmology

    

On the Physics of Interval and Phase Invariance of Lorentz Transform

Authors: Gajendra Singh Solanki

The early pioneers who worked or derived the Lorentz transform, like Voigt, Lorentz, Poincare, and Einstein used an additional common scaling factor to start with. We review the arguments of these pioneers and analyze them to deduce which aspects by dropping this scaling factor are affected. The Interval and phase invariance of the Lorentz transform contradicts its own clock time relationship, but the same is shown to disappear if we translate them to the real domain. Moreover, the invariance does not imply the values of interval and phase are preserved because Lorentz transforms do scale them across frames. Behind the success of the four-vector-based covariant formulation of Lorentz transform is the fact that they operate in the Minkowski domain that maps the positions and computes the times accordingly, but the same makes them difficult to interpret. The real domain view makes their interpretation easy where time dilation persists but the synchronization term disappears.

Comments: 7 Pages. This is the ninth paper in the series of rudiments of relativity revisited.

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Submission history

[v1] 2021-01-09 17:56:31
[v2] 2021-02-13 03:41:32
[v3] 2021-02-24 11:20:36

Unique-IP document downloads: 290 times

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