Lorentz transformation from an elementary point of view
Mathematical Physics
2017-01-19 v2 math.MP
Abstract
Elementary methods are used to examine some nontrivial mathematical issues underpinning the Lorentz transformation. Its eigen-system is characterized through the exponential of a -skew symmetric matrix, underlining its unconnectedness at one of its extremes (the hyper-singular case). A different yet equivalent angle is presented through Pauli coding which reveals the connection between the hyper-singular case and the shear map.
Cite
@article{arxiv.1611.06379,
title = {Lorentz transformation from an elementary point of view},
author = {Arkadiusz Jadczyk and Jerzy Szulga},
journal= {arXiv preprint arXiv:1611.06379},
year = {2017}
}