Year: 2025
Type: article
Abstract: The Lorentz group Lor1,3=SO0(1,3) has two point fixgroups, namely SO(3) for time-like translations and SO0(1,1)×IR2 for light-like translations. However, for light-like translations, it is reasonable to consider a line fixgroup that leads to the Borel structure of the Lorentz group and provides appropriate helicities for massless particles. Therefore, whether a particle is massless or massive is not so much a physical question but rather a question of the underlying Lie group symmetry.
Source: Symmetry
DOI: 10.3390/sym17091464
Authors: Rein Saar, Stefan Groote
Institution: University of Tartu
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4414017745