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arXiv · 1601.03942

Theory of non-local point transformations - Part 3: Theory of NLPT-acceleration and the physical origin of acceleration effects in curved space-times

Massimo Tessarotto·Claudio Cremaschini
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Abstract

This paper is motivated by the introduction of a new functional setting of General Relativity (GR) based on the adoption of suitable group non-local point transformations (NLPT). Unlike the customary local point transformatyion usually utilized in GR, these transformations map in each other intrinsically different curved space-times. In this paper the problem is posed of determining the tensor transformation laws holding for the $4-$% acceleration with respect to the group of general NLPT. Basic physical implications are considered. These concern in particular the identification of NLPT-acceleration effects, namely the relationship established via general NLPT between the $4-$accelerations existing in different curved-space times. As a further application the tensor character of the EM Faraday tensor.with respect to the NLPT-group is established.

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Massimo Tessarotto, Claudio Cremaschini. 2016-01-13. Theory of non-local point transformations - Part 3: Theory of NLPT-acceleration and the physical origin of acceleration effects in curved space-times. https://arxiv.org/abs/1601.03942

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