Relativity and Cosmology

    

Real Domain Transforms for Special Relativity

Authors: Gajendra Singh Solanki

The mathematical elegance and simplicity of Lorentz transform to support four-vector-based covariant formulation comes from its operation in the Minkowski domain that maps the position and calculates the time accordingly. But the same also makes it difficult to interpret. Transforming it back to the real domain that maps the time and calculates the position accordingly eases their interpretation, which leads to real domain transforms, a tool to discern the real effects from mere mathematical ones. Many new phenomena like relativity of spatial concurrence and relativistic non-localization, so far hidden under the elegance of the former, are brought to light. The real domain exhibits relativistic time-dilation, length-contraction, velocity-addition, clock compatible interval and phase relationship, and Doppler effect, but the non-simultaneity disappears. New transform is reducible to Lorentz transform establishing their equivalence.

Comments: 6 Pages. This is the third paper in the series of 'Rudiments of relativity revisited'. The Foundation of which is developed in the previous ones and the next one shows the new transforms can reproduce the so far proven results of relativity.

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Submission history

[v1] 2020-11-20 11:18:42
[v2] 2020-11-23 10:53:39
[v3] 2021-01-08 17:14:01
[v4] 2021-02-13 15:53:43

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