Dergiler / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 4
GENERALIZED LORENTZ GROUPOF SPACE-TIME TRANSFORMATION
- Sayfa
- 987–1008
- DOI
- —
Özet
Abstract.We examine how Lorentz Symmetry (LS) breaks down inYarman-Arik-Kholmetskii (YARK) theory of gravitation through an entirely differentmechanism than that under metric theories of gravity. Said mechanism can be right awayextended to all other fields of interaction underYarman’s Approachthat forms the basis of YARK theory. The result is the disclosure of a new“Generalized Lorentz Group” of space-time transformations which contains an additionalparameter denoting the interactional energy per unit mass. Hence, the core findingherein is that the Minkowskian metric for an empty space-time should, when one is inthe presence of gravity or any other force field, be replaced by general equalitiesinvolving a novel coupling parameter for either attraction or repulsion.