Nonlinear Relativistic Invariance For Quadrahyperbolic Numbers
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
One may ask whether an extended group of invariance can naturally be attributed to the space of associative commutative Quadrahyperbolic Numbers? To search for a rigorous and positive answer to the question, we shall focus on the method of derivation of the respective invariance. The outcome that there exist 3--parametric nonlinear transformations which leave invariant the scalar product chosen appropriately for The Quadrahyperbolic Numbers, is the main result of the present publication.
Cite
@article{arxiv.gr-qc/0212090,
title = {Nonlinear Relativistic Invariance For Quadrahyperbolic Numbers},
author = {D. G. Pavlov},
journal= {arXiv preprint arXiv:gr-qc/0212090},
year = {2007}
}