We reformulate Special Relativity by a quaternionic algebra on reals. Using real linear quaternions, we show that previous difficulties, concerning the appropriate transformations on the 3+1 space–time, may be overcome. This implies that a complexified quaternionic version of Special Relativity is a choice and not a necessity.
%0 Journal Article
%1 deleo96
%A De Leo, Stefano
%D 1996
%J Journal of Mathematical Physics
%K no.pdf physics quaternion relativity
%N 6
%P 2955--2968
%R 10.1063/1.531548
%T Quaternions and Special Relativity
%V 37
%X We reformulate Special Relativity by a quaternionic algebra on reals. Using real linear quaternions, we show that previous difficulties, concerning the appropriate transformations on the 3+1 space–time, may be overcome. This implies that a complexified quaternionic version of Special Relativity is a choice and not a necessity.
@article{deleo96,
abstract = {We reformulate Special Relativity by a quaternionic algebra on reals. Using real linear quaternions, we show that previous difficulties, concerning the appropriate transformations on the 3+1 space–time, may be overcome. This implies that a complexified quaternionic version of Special Relativity is a choice and not a necessity.},
added-at = {2015-10-14T11:21:55.000+0200},
author = {De Leo, Stefano},
biburl = {https://www.bibsonomy.org/bibtex/20bb5971ccca30745d2f83ac399d33ed6/ytyoun},
doi = {10.1063/1.531548},
eid = {2955},
interhash = {fdd6561d275a07d64e6080c9c589e9e2},
intrahash = {0bb5971ccca30745d2f83ac399d33ed6},
journal = {Journal of Mathematical Physics},
keywords = {no.pdf physics quaternion relativity},
number = 6,
pages = {2955--2968},
timestamp = {2015-10-14T11:22:47.000+0200},
title = {Quaternions and Special Relativity},
volume = 37,
year = 1996
}