Relativity and Cosmology

    

A Categorical Approach for Relativity Theory

Authors: Marcelo Carvalho

We provide a categorical interpretation for a model unifying the Galilei relativity and the special relativity, which is based on the introduction of two times variables, one associated to the absolute time of the Galilei relativity, and the other to the local time of the special relativity. The relation between these two time variables is the key point for the construction of a natural transformation relating two functors $\ol G$ and $\ol L$ that translates to the framework of category the role of the Galilei and the Lorentz transformations bringing with them a decomposition of the Lorentz transformation in terms of the Galilei transformation, which in some sense unify both relativities.

Comments: 21 Pages.

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Submission history

[v1] 2016-02-04 21:28:46
[v2] 2017-10-07 15:33:32

Unique-IP document downloads: 358 times

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