Nonlinear Relativistic Invariance For Quadrahyperbolic Numbers

Details Nonlinear Relativistic Invariance For Quadrahyperbolic Numbers Nonlinear Relativistic Invariance For Quadrahyperbolic Numbers

2002-12-23

arxiv.org/abs/gr-qc/0212090v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

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.

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